Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
396 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 18. #14582703 | C4 | semidirect |
| 159. C43 | #12957 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583006 | 2 |
| C2×#14582723 | 2 |
| #19136315 | 2 |
| #19135346 | 2 |
| #19132701 | 2 |
| #19132674 | 2 |
| C2×C43×#362 | 2 |
| #12957 | 43 |