Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
590 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 590 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 2. #14544408 | C2 | semidirect |
| 176. C17 | #17980 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545573 | 2 |
| #14544408 | 2 |
| #14544340 | 2 |
| #14544134 | 2 |
| #14543980 | 2 |
| #14539371 | 2 |
| #17980 | 17 |