Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #14545833 | C2 | semidirect |
| 36. C2×Q16×C17 | C8 | semidirect |
| 40. Q16×D17 | C8 | semidirect |
| 42. C2×Dic68 | C8 | semidirect |
| 172. C2×Q16 | #3633 | semidirect |
| 197. C17 | #11600 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #595⋊M32 | 2 |
| #14545908 | 2 |
| #14545833 | 2 |
| C2×Q16×#595 | 2 |
| #11600 | 17 |