Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
334 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 59 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. #19132771 | C2 | semidirect |
| 5. #19132770 | C2 | semidirect |
| 6. #19132769 | C2 | semidirect |
| 7. C43×#1414 | C2 | semidirect |
| 8. #14583455 | C4 | semidirect |
| 12. #14583256 | C4 | semidirect |
| 13. #14583254 | C4 | semidirect |
| 19. C4×#10621872 | C4 | semidirect |
| 32. #13063317 | C2×C4 | semidirect |
| 54. C4×C43⋊C8 | C2×C4 | semidirect |
| 55. #125×C43 | C2×C4 | semidirect |
| 61. C4×C8×C43 | C2×C4 | semidirect |
| 163. #1414 | D43 | semidirect |
| 189. C43 | #13603 | semidirect |
| 196. #125 | C4×D43 | semidirect |
| 224. C4×C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144978 | 2 |
| #355×D43 | 2 |
| #354×D43 | 2 |
| #19132771 | 2 |
| #19132770 | 2 |
| #19132769 | 2 |
| C43×#1414 | 2 |
| #13603 | 43 |