Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
428 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 76 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. #14545471 | C2 | semidirect |
| 2. #14544254 | C2 | semidirect |
| 3. #14544116 | C2 | semidirect |
| 4. #14544104 | C2 | semidirect |
| 5. #14543677 | C2 | semidirect |
| 6. #14543650 | C2 | semidirect |
| 277. C17 | #9313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545471 | 2 |
| #14544254 | 2 |
| #14544116 | 2 |
| #14544104 | 2 |
| #14543677 | 2 |
| #14543650 | 2 |
| #14538932 | 2 |
| #9313 | 17 |