Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1050 conjugacy classes of subgroups; only the 176 normal subgroups are shown.
This group has 1050 conjugacy classes of subgroups — too many to draw. Only its 176 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 |
|---|---|---|
| 11. C2×#10587574 | C4 | semidirect |
| 12. C2×#10587556 | C4 | semidirect |
| 17. C2×C17×#125 | C4 | semidirect |
| 26. C2×C4×#595 | Q8 | semidirect |
| 30. C2×#63243 | Q8 | semidirect |
| 160. C2×#125 | #595 | semidirect |
| 209. C17 | #11386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763679 | 2 |
| #14544448 | 2 |
| C4×(C2×#595)⋊C4 | 2 |
| C2×#11763365 | 2 |
| #11386 | 17 |