Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
246 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14527609 | C2 | semidirect |
| 3. #14526849 | C2 | semidirect |
| 4. #14526751 | C2 | semidirect |
| 5. #14526750 | C2 | semidirect |
| 6. #14526705 | C2 | semidirect |
| 7. C17×#1580 | C2 | semidirect |
| 36. #10587497 | C8 | semidirect |
| 49. D8×C17 | C2×C8 | semidirect |
| 63. D136 | C2×C8 | semidirect |
| 67. #63214 | C2×C8 | semidirect |
| 93. #1580 | D17 | semidirect |
| 152. C17 | #12067 | semidirect |
| 160. D8 | C8×D17 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530658 | 2 |
| #14527609 | 2 |
| #14526849 | 2 |
| #14526751 | 2 |
| #14526750 | 2 |
| #14526705 | 2 |
| C17×#1580 | 2 |
| #12067 | 17 |