Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
504 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 1. #19147583 | C2 | semidirect |
| 2. #19136863 | C2 | semidirect |
| 4. #19136657 | C2 | semidirect |
| 6. #19136644 | C2 | semidirect |
| 7. #19136503 | C2 | semidirect |
| 8. #19136458 | C2 | semidirect |
| 9. C4×Q32×C43 | C2 | semidirect |
| 148. C4×Q32 | D43 | semidirect |
| 178. C43 | #33969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147583 | 2 |
| #19136863 | 2 |
| #19136856 | 2 |
| #19136657 | 2 |
| #19136653 | 2 |
| #19136644 | 2 |
| #19136503 | 2 |
| #19136458 | 2 |
| C4×Q32×C43 | 2 |
| #33969 | 43 |