Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
364 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 37. C17×#100 | C8 | semidirect |
| 39. #10587504 | C8 | semidirect |
| 198. #100 | #3624 | semidirect |
| 205. C17 | #7203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544757 | 2 |
| #14544020 | 2 |
| #100×Dic17 | 2 |
| #7203 | 17 |