Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
406 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 406 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 |
|---|---|---|
| 38. C4×Q8×C17 | C8 | semidirect |
| 39. Q8×Dic17 | C8 | semidirect |
| 43. #10587573 | C8 | semidirect |
| 47. C4×Dic34 | C8 | semidirect |
| 212. C4×Q8 | #3633 | semidirect |
| 236. C17 | #7596 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545927 | 2 |
| #14545926 | 2 |
| #14545785 | 2 |
| #14545784 | 2 |
| #14545243 | 2 |
| #7596 | 17 |