Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
402 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 58 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. #11763687 | C4 | semidirect |
| 8. C2×#10587474 | C4 | semidirect |
| 9. C2×C17×C4⋊C8 | C4 | semidirect |
| 96. C2×C4⋊C8 | #595 | semidirect |
| 123. C17 | #7283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587539 | 2 |
| #14529581 | 2 |
| #7283 | 17 |