Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
118 conjugacy classes of subgroups; only the 31 normal subgroups are shown.
This group has 118 conjugacy classes of subgroups — too many to draw. Only its 31 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 |
|---|---|---|
| 1. #14545874 | C2 | semidirect |
| 2. #14545845 | C2 | semidirect |
| 19. C17×Q32 | C8 | semidirect |
| 21. D272 | C8 | semidirect |
| 70. Q32 | #3633 | semidirect |
| 80. C17 | #7389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545874 | 2 |
| #14545845 | 2 |
| #14545187 | 2 |
| #7389 | 17 |