Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
478 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 4. C2×#14582635 | C2 | semidirect |
| 5. #19132958 | C2 | semidirect |
| 6. #19132483 | C2 | semidirect |
| 7. C43×#1280 | C2 | semidirect |
| 11. #14583230 | C4 | semidirect |
| 12. #14583213 | C4 | semidirect |
| 16. #14583057 | C4 | semidirect |
| 17. #14583040 | C4 | semidirect |
| 231. #1280 | D43 | semidirect |
| 268. C43 | #9263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145378 | 2 |
| #19143649 | 2 |
| #19133097 | 2 |
| C2×#14582635 | 2 |
| #19132958 | 2 |
| #19132483 | 2 |
| C43×#1280 | 2 |
| #9263 | 43 |