Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
408 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 408 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 |
|---|---|---|
| 1. C4×#10587536 | C2 | semidirect |
| 2. #14544340 | C2 | semidirect |
| 4. #14543670 | C2 | semidirect |
| 105. Q8×C17 | #108 | semidirect |
| 117. D68 | #108 | semidirect |
| 218. C17 | #8670 | semidirect |
| 262. Q8 | #10587536 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587536 | 2 |
| #14544340 | 2 |
| #14544122 | 2 |
| #14543670 | 2 |
| C8×#63256 | 2 |
| #8670 | 17 |