Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
222 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 19. C17×M32 | C8 | semidirect |
| 100. M32 | #3622 | semidirect |
| 111. C17 | #7158 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14527532 | 2 |
| C2×#11762560 | 2 |
| C4×C17×M32 | 2 |
| #7158 | 17 |