Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
380 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 19. #14582714 | C4 | semidirect |
| 155. C43 | #12954 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143462 | 2 |
| #19136367 | 2 |
| C2×#14582716 | 2 |
| C2×#14582714 | 2 |
| #19135386 | 2 |
| #19132680 | 2 |
| C43×#1389 | 2 |
| #12954 | 43 |