Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
454 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19136280 | C2 | semidirect |
| 2. #19136260 | C2 | semidirect |
| 3. #19132752 | C2 | semidirect |
| 8. #14582696 | C22 | semidirect |
| 9. #14582694 | C22 | semidirect |
| 14. C2×#127×C43 | C4 | semidirect |
| 15. C43×#496 | C4 | semidirect |
| 19. C4×M16×C43 | C4 | semidirect |
| 164. C2×#127 | Dic43 | semidirect |
| 165. #496 | Dic43 | semidirect |
| 171. C4×M16 | Dic43 | semidirect |
| 176. C43 | #13579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136280 | 2 |
| #19136260 | 2 |
| #19132752 | 2 |
| C43×#3151 | 2 |
| #13579 | 43 |