Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
336 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 17. C43×#330 | C4 | semidirect |
| 18. C43×#330 | C4 | semidirect |
| 19. C43×#330 | C4 | semidirect |
| 115. #330 | Dic43 | semidirect |
| 116. #330 | Dic43 | semidirect |
| 117. #330 | Dic43 | semidirect |
| 118. C43 | #8919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143701 | 2 |
| #19135577 | 2 |
| #19133362 | 2 |
| #19132489 | 2 |
| C43×#1526 | 2 |
| #8919 | 43 |