The irreducible subgroups of GL(V) for |V| lt 1000
The subgroups of GL(V) for |V| > 1000 are still in preparation.
Also available: Primitive almost simple groups of degree 999 < d <
2500.
Alternating groups ,
PSL(2, q) , PSL(d, q) , unitary groups ,
symplectic groups , orthogonal groups ,
exceptional groups , sporadic groups
. All of these are in Magma format; the paper
classifying them has yet to be refereed.
And also: Product and diagonal action primitive groups of degree
999 < d < 2500. Product action groups with
alternating socle factors, product action groups with PSL(2, q) socle factors, product action
groups with other socle factors. Diagonal groups.
-
GF(2)
- Soluble irreducible subgroups of GL(2, 2) in Magma or Gap
- Soluble irreducible subgroups of GL(3, 2) in Magma or Gap
- Insoluble irreducible subgroups of GL(3, 2) in Magma or Gap
- Soluble irreducible subgroups of GL(4, 2) in Magma or Gap
- Insoluble irreducible subgroups of GL(4, 2) in Magma or Gap
- Soluble irreducible subgroups of GL(5, 2) in Magma or Gap
- Insoluble irreducible subgroups of GL(5, 2) in Magma or Gap
- Soluble irreducible subgroups of GL(6, 2) in Magma or Gap
- Insoluble irreducible subgroups of GL(6, 2) in Magma or Gap
- Soluble irreducible subgroups of GL(7, 2) in Magma or Gap
- Insoluble irreducible subgroups of GL(7, 2) in Magma or Gap
- Soluble irreducible subgroups of GL(8, 2) in Magma or Gap
- Insoluble irreducible subgroups of GL(8, 2) in Magma or Gap
- Soluble irreducible subgroups of GL(9, 2) in Magma or Gap
- Insoluble irreducible subgroups of GL(9, 2) in Magma or Gap
- Soluble irreducible subgroups of GL(10, 2) in
Magma
- Insoluble irreducible subgroups of GL(10, 2) in Magma
- Soluble irreducible subgroups of GL(11, 2) in
Magma
- Insoluble irreducible subgroups of GL(11, 2) in Magma
-
GF(3)
- Soluble irreducible subgroups of GL(2, 3) in Magma or Gap
- Soluble irreducible subgroups of GL(3, 3) in Magma or Gap
- Insoluble irreducible subgroups of GL(3, 3) in Magma or Gap
- Soluble irreducible subgroups of GL(4, 3) in Magma or Gap
- Insoluble irreducible subgroups of GL(4, 3) in Magma or Gap
- Soluble irreducible subgroups of GL(5, 3) in Magma or Gap
- Insoluble irreducible subgroups of GL(5, 3) in Magma or Gap
- Soluble irreducible subgroups of GL(6, 3) in Magma or Gap
- Insoluble irreducible subgroups of
GL(6, 3) in Magma or Gap
- Soluble irreducible subgroups of GL(7, 3) in Magma
- Insoluble irreducible subgroups of
GL(7, 3) in Magma
-
GF(5)
- Soluble irreducible subgroups of GL(2, 5) in Magma or Gap
- Insoluble irreducible subgroups of GL(2, 5) in Magma or Gap
- Soluble irreducible subgroups of GL(3, 5) in Magma or Gap
- Insoluble irreducible subgroups of GL(3, 5) in Magma or Gap
- Soluble irreducible subgroups of GL(4, 5) in Magma or Gap
- Insoluble irreducible subgroups of GL(4, 5) in Magma or Gap
-
GF(7)
- Soluble irreducible subgroups of GL(2, 7) in Magma or Gap
- Insoluble irreducible subgroups of GL(2, 7) in Magma or Gap
- Soluble irreducible subgroups of GL(3, 7) in Magma or Gap
- Insoluble irreducible subgroups of GL(3, 7) in Magma or Gap
-
GF(11)
- Soluble irreducible subgroups of GL(2, 11) in Magma or Gap
- Insoluble irreducible subgroups of GL(2, 11) in Magma or Gap
- Soluble irreducible subgroups of GL(3, 11) in Magma
- Insoluble irreducible subgroups of GL(3, 11) in Magma
-
GF(13)
- Soluble irreducible subgroups of GL(2, 13) in Magma or Gap
- Insoluble irreducible subgroups of GL(2, 13) in Magma or Gap
- Soluble irreducible subgroups of GL(3, 13) in Magma
- Insoluble irreducible subgroups of GL(3, 13) in Magma
-
GF(17)
- Soluble irreducible subgroups of GL(2, 17) in Magma or Gap
- Insoluble irreducible subgroups of GL(2, 17) in Magma or Gap
-
GF(19)
- Soluble irreducible subgroups of GL(2, 19) in Magma or Gap
- Insoluble irreducible subgroups of GL(2, 19) in Magma or Gap
-
GF(23)
- Soluble irreducible subgroups of GL(2, 23) in Magma or Gap
- Insoluble irreducible subgroups of GL(2, 23) in Magma or Gap
-
GF(29)
- Soluble irreducible subgroups of GL(2, 29) in Magma or Gap
- Insoluble irreducible subgroups of GL(2, 29) in Magma or Gap
-
GF(31)
- Soluble irreducible subgroups of GL(2, 31) in Magma or Gap
- Insoluble irreducible subgroups of GL(2, 31) in Magma or Gap
-
GF(37)
- Soluble irreducible subgroups of GL(2, 37) in Magma
- Insoluble irreducible subgroups of GL(2, 37) in Magma
-
GF(41)
- Soluble irreducible subgroups of GL(2, 41) in Magma
- Insoluble irreducible subgroups of GL(2, 41) in Magma
-
GF(43)
- Soluble irreducible subgroups of GL(2, 43) in Magma
- Insoluble irreducible subgroups of GL(2, 43) in Magma
-
GF(47)
- Soluble irreducible subgroups of GL(2, 47) in Magma
- Insoluble irreducible subgroups of GL(2, 47) in Magma
Created 31/10/2002 by Colva M Roney-Dougal and William R Unger.
Edited 21/01/2003 (addition of Gap format groups). Edited 22/10/04
(addition of groups to 2500)