Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
554 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 3. #14527465 | C2 | semidirect |
| 5. #14527179 | C2 | semidirect |
| 6. #14526687 | C2 | semidirect |
| 7. C17×#2568 | C2 | semidirect |
| 85. C2×Q8×C17 | SD16 | semidirect |
| 179. #2568 | D17 | semidirect |
| 280. C17 | #10244 | semidirect |
| 294. C2×Q8 | #63230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539709 | 2 |
| #14538256 | 2 |
| #14527465 | 2 |
| #14527278 | 2 |
| #14527179 | 2 |
| #14526687 | 2 |
| C17×#2568 | 2 |
| #10244 | 17 |