Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
504 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14541772 | C2 | semidirect |
| 2. #14531052 | C2 | semidirect |
| 4. #14530846 | C2 | semidirect |
| 6. #14530833 | C2 | semidirect |
| 7. #14530692 | C2 | semidirect |
| 8. #14530647 | C2 | semidirect |
| 9. C4×C17×Q32 | C2 | semidirect |
| 135. C4×Q32 | D17 | semidirect |
| 212. C17 | #33969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541772 | 2 |
| #14531052 | 2 |
| #14531045 | 2 |
| #14530846 | 2 |
| #14530842 | 2 |
| #14530833 | 2 |
| #14530692 | 2 |
| #14530647 | 2 |
| C4×C17×Q32 | 2 |
| #33969 | 17 |