Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
502 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 502 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 39. C2×Q16×C17 | C8 | semidirect |
| 40. C2×#63231 | C8 | semidirect |
| 43. C2×Dic68 | C8 | semidirect |
| 58. C2×#3633 | Q16 | semidirect |
| 167. C2×Q16 | #3633 | semidirect |
| 191. C17 | #9656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| (C2×#3633)⋊Q8 | 2 |
| C2×#11763899 | 2 |
| C2×Q8⋊#3633 | 2 |
| C2×C8×#3633 | 2 |
| C2×Q16×#595 | 2 |
| #9656 | 17 |