insol4_3:= [ MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2 ] /* order = 60 = 2^2 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0 ], \[ 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2 ] /* order = 120 = 2^3 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2 ], \[ 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1 ] /* order = 120 = 2^3 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0 ] /* order = 120 = 2^3 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0 ], \[ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1 ] /* order = 120 = 2^3 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2 ], \[ 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2 ] /* order = 240 = 2^4 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2 ], \[ 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0 ] /* order = 240 = 2^4 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0 ] /* order = 240 = 2^4 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0 ] /* order = 240 = 2^4 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1 ], \[ 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1 ] /* order = 360 = 2^3 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1 ], \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0 ] /* order = 480 = 2^5 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0 ], \[ 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2 ] /* order = 480 = 2^5 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1 ] /* order = 480 = 2^5 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1 ], \[ 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0 ] /* order = 720 = 2^4 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1 ] /* order = 720 = 2^4 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2 ], \[ 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2 ] /* order = 720 = 2^4 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2 ], \[ 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2 ] /* order = 720 = 2^4 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0 ] /* order = 960 = 2^6 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2 ] /* order = 1440 = 2^5 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0 ], \[ 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1 ] /* order = 1440 = 2^5 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2 ], \[ 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0 ] /* order = 1440 = 2^5 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2 ] /* order = 1440 = 2^5 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2 ], \[ 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1 ] /* order = 1440 = 2^5 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0 ] /* order = 1920 = 2^7 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1 ], \[ 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2 ] /* order = 2880 = 2^6 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0 ], \[ 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1 ] /* order = 2880 = 2^6 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2 ], \[ 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1 ] /* order = 2880 = 2^6 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0 ], \[ 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1 ] /* order = 2880 = 2^6 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2 ], \[ 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1 ] /* order = 3840 = 2^8 * 3 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1 ], \[ 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1 ] /* order = 5760 = 2^7 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1 ], \[ 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0 ] /* order = 5760 = 2^7 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1 ], \[ 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2 ] /* order = 5760 = 2^7 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1 ] /* order = 11520 = 2^8 * 3^2 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2 ] /* order = 51840 = 2^7 * 3^4 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2 ], \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0 ] /* order = 103680 = 2^8 * 3^4 * 5 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2 ], \[ 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1 ] /* order = 12130560 = 2^8 * 3^6 * 5 * 13 */ >, MatrixGroup<4, GF(3) | \[ 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0 ], \[ 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0 ] /* order = 24261120 = 2^9 * 3^6 * 5 * 13 */ > ];