Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
466 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 110. #63247 | Q16 | semidirect |
| 293. C17 | #9248 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#63247 | 2 |
| #14544976 | 2 |
| #14544297 | 2 |
| #14544112 | 2 |
| #14543654 | 2 |
| #14543629 | 2 |
| C2×#11763017 | 2 |
| #9248 | 17 |