Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
474 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14529825 | C2 | semidirect |
| 2. #14527820 | C2 | semidirect |
| 3. #14527718 | C2 | semidirect |
| 4. #14526811 | C2 | semidirect |
| 5. #14526787 | C2 | semidirect |
| 6. #14526716 | C2 | semidirect |
| 7. C17×#2828 | C2 | semidirect |
| 178. #2828 | D17 | semidirect |
| 281. C17 | #12198 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529825 | 2 |
| #14527820 | 2 |
| #14527718 | 2 |
| #14526811 | 2 |
| #14526787 | 2 |
| #14526716 | 2 |
| C17×#2828 | 2 |
| #12198 | 17 |