Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
314 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 72 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 |
|---|---|---|
| 4. C2×#10587529 | C4 | semidirect |
| 9. #11763683 | C4 | semidirect |
| 13. #11762572 | C4 | semidirect |
| 14. C17×#340 | C4 | semidirect |
| 141. #340 | #595 | semidirect |
| 170. C17 | #7230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545009 | 2 |
| #14544661 | 2 |
| #14528812 | 2 |
| #7230 | 17 |