Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
536 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 88 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×#10587680 | C2 | semidirect |
| 2. #14544240 | C2 | semidirect |
| 3. #14544131 | C2 | semidirect |
| 4. #14544122 | C2 | semidirect |
| 5. #14543670 | C2 | semidirect |
| 6. #14543615 | C2 | semidirect |
| 295. C17 | #9211 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587680 | 2 |
| #14544240 | 2 |
| #14544131 | 2 |
| #14544122 | 2 |
| #14543670 | 2 |
| #14543615 | 2 |
| #14538847 | 2 |
| #9211 | 17 |