Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
456 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 2. #14544248 | C2 | semidirect |
| 4. #14544058 | C2 | semidirect |
| 5. #14543649 | C2 | semidirect |
| 6. #14543629 | C2 | semidirect |
| 284. C17 | #9245 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545640 | 2 |
| #14544248 | 2 |
| #14544123 | 2 |
| #14544058 | 2 |
| #14543649 | 2 |
| #14543629 | 2 |
| C2×#11763111 | 2 |
| #9245 | 17 |