Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
444 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 72 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. #14545605 | C2 | semidirect |
| 2. #14544271 | C2 | semidirect |
| 3. #14544125 | C2 | semidirect |
| 4. #14544045 | C2 | semidirect |
| 5. #14543691 | C2 | semidirect |
| 6. #14543652 | C2 | semidirect |
| 292. C17 | #9532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545605 | 2 |
| #14544271 | 2 |
| #14544125 | 2 |
| #14544045 | 2 |
| #14543691 | 2 |
| #14543652 | 2 |
| #14538925 | 2 |
| #9532 | 17 |