Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
490 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 113 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 12. #14583195 | C4 | semidirect |
| 13. #14583185 | C4 | semidirect |
| 211. C43 | #9176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144402 | 2 |
| #19137512 | 2 |
| #19133158 | 2 |
| #19133095 | 2 |
| #19132989 | 2 |
| #19132496 | 2 |
| C43×#1286 | 2 |
| #9176 | 43 |