Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
440 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14529761 | C2 | semidirect |
| 4. #14527472 | C2 | semidirect |
| 6. #14526659 | C2 | semidirect |
| 7. C17×#1842 | C2 | semidirect |
| 96. C42×C17 | SD16 | semidirect |
| 166. #1842 | D17 | semidirect |
| 259. C17 | #10520 | semidirect |
| 306. C42 | #63219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540101 | 2 |
| #14529761 | 2 |
| #14529612 | 2 |
| #14527472 | 2 |
| #14527459 | 2 |
| #14526659 | 2 |
| C17×#1842 | 2 |
| #10520 | 17 |