Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
230 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14527602 | C2 | semidirect |
| 4. #14526753 | C2 | semidirect |
| 6. #14526704 | C2 | semidirect |
| 7. C17×#1368 | C2 | semidirect |
| 43. #10587471 | C8 | semidirect |
| 60. Dic68 | C2×C8 | semidirect |
| 65. C16×C17 | C2×C8 | semidirect |
| 91. #1368 | D17 | semidirect |
| 146. C17 | #12065 | semidirect |
| 169. C16 | C8×D17 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530650 | 2 |
| #14527607 | 2 |
| #14527602 | 2 |
| #14526753 | 2 |
| #14526750 | 2 |
| #14526704 | 2 |
| C17×#1368 | 2 |
| #12065 | 17 |