Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
454 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14532078 | C2 | semidirect |
| 4. #14526687 | C2 | semidirect |
| 5. #14526686 | C2 | semidirect |
| 6. #14526612 | C2 | semidirect |
| 29. C17×C4⋊Q8 | Q8 | semidirect |
| 30. C17×#127 | Q8 | semidirect |
| 225. C4⋊Q8 | Dic34 | semidirect |
| 226. #127 | Dic34 | semidirect |
| 264. C17 | #10370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14532078 | 2 |
| #14529617 | 2 |
| #14527279 | 2 |
| #14526687 | 2 |
| #14526686 | 2 |
| #14526612 | 2 |
| C17×#1502 | 2 |
| #10370 | 17 |