Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19133158 | C2 | semidirect |
| 5. #19132999 | C2 | semidirect |
| 6. #19132490 | C2 | semidirect |
| 7. C43×#1286 | C2 | semidirect |
| 11. #14583190 | C4 | semidirect |
| 12. #14583180 | C4 | semidirect |
| 176. #1286 | D43 | semidirect |
| 202. C43 | #9307 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144394 | 2 |
| #19143635 | 2 |
| #19134602 | 2 |
| #19133158 | 2 |
| #19132999 | 2 |
| #19132490 | 2 |
| C43×#1286 | 2 |
| #9307 | 43 |