Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
274 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 17. #11762639 | C4 | semidirect |
| 18. #11762638 | C4 | semidirect |
| 19. C17×#368 | C4 | semidirect |
| 109. #368 | #595 | semidirect |
| 142. C17 | #13172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763736 | 2 |
| #14544992 | 2 |
| #14544902 | 2 |
| #14543860 | 2 |
| D17×#368 | 2 |
| #13172 | 17 |