Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
514 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14545784 | C2 | semidirect |
| 29. C17×#117 | C8 | semidirect |
| 30. #10587612 | C8 | semidirect |
| 31. #10587578 | C8 | semidirect |
| 164. #117 | #3633 | semidirect |
| 181. C17 | #7598 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545924 | 2 |
| #14545784 | 2 |
| #14545244 | 2 |
| #7598 | 17 |