Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
402 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 56 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×C4⋊#3624 | C4 | semidirect |
| 8. C2×#10587542 | C4 | semidirect |
| 10. #11763687 | C4 | semidirect |
| 14. #11762576 | C4 | semidirect |
| 15. C17×#342 | C4 | semidirect |
| 170. #342 | #595 | semidirect |
| 204. C17 | #7283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544909 | 2 |
| #14544531 | 2 |
| #14528571 | 2 |
| #7283 | 17 |