Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
222 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 25. #13063271 | C8 | semidirect |
| 122. C43 | #12044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13063271 | 2 |
| C8×Dic172 | 2 |
| #19132668 | 2 |
| #19132559 | 2 |
| #19132558 | 2 |
| #19132512 | 2 |
| C8×Q16×C43 | 2 |
| #12044 | 43 |