Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
490 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 22. C2×Dic136 | C4 | semidirect |
| 23. C2×#10587500 | C4 | semidirect |
| 24. C2×#10587500 | C4 | semidirect |
| 28. C2×C17×Q32 | C4 | semidirect |
| 141. C2×#595 | Q32 | semidirect |
| 207. C2×Q32 | #595 | semidirect |
| 273. C17 | #13015 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×#595 | 2 |
| C2×#11763722 | 2 |
| #14544930 | 2 |
| #14543842 | 2 |
| #14543821 | 2 |
| C2×Q32×D17 | 2 |
| #13015 | 17 |