Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1380 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 1380 conjugacy classes of subgroups — too many to draw. Only its 211 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. C2×#14583335 | C2 | semidirect |
| 2. #19144176 | C2 | semidirect |
| 3. #19136524 | C2 | semidirect |
| 4. #19136507 | C2 | semidirect |
| 5. #19136311 | C2 | semidirect |
| 6. #19136206 | C2 | semidirect |
| 7. C23×D8×C43 | C2 | semidirect |
| 8. C2×#13063347 | C22 | semidirect |
| 11. C2×#13063269 | C22 | semidirect |
| 12. C2×#13063266 | C22 | semidirect |
| 13. C2×#13063265 | C22 | semidirect |
| 14. #14583140 | C22 | semidirect |
| 15. #14583135 | C22 | semidirect |
| 17. #14582937 | C22 | semidirect |
| 19. #14582700 | C22 | semidirect |
| 20. C22⋊(C43⋊C16) | C22 | semidirect |
| 30. C2×Dic172 | C23 | semidirect |
| 32. C2×D344 | C23 | semidirect |
| 42. C2×C43⋊C16 | C23 | semidirect |
| 43. #13063259 | C23 | semidirect |
| 61. C2×D8×C43 | D4 | semidirect |
| 163. C22×C43 | #509 | semidirect |
| 173. C23×D8 | D43 | semidirect |
| 206. C43 | #33517 | semidirect |
| 226. C2×D8 | C22⋊D43 | semidirect |
| 343. C22 | #14583335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583335 | 2 |
| #19144176 | 2 |
| #19136524 | 2 |
| #19136507 | 2 |
| #19136311 | 2 |
| #19136206 | 2 |
| C23×D8×C43 | 2 |
| #33517 | 43 |