Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
430 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 161 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 |
|---|---|---|
| 90. #3622 | #101 | semidirect |
| 150. C17 | #8165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×#3622 | 2 |
| #14527108 | 2 |
| #14527071 | 2 |
| #14526635 | 2 |
| C4×C17×#101 | 2 |
| #8165 | 17 |