Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
560 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 5. C2×C4⋊#3624 | C4 | semidirect |
| 13. #11762564 | C4 | semidirect |
| 14. C17×#336 | C4 | semidirect |
| 34. (C2×#595)⋊C4 | C8 | semidirect |
| 174. #336 | #595 | semidirect |
| 209. C17 | #7028 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544639 | 2 |
| C4×(C2×#595)⋊C4 | 2 |
| #14528541 | 2 |
| #7028 | 17 |