Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
440 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 440 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. #14544032 | C2 | semidirect |
| 2. C2×#11763654 | C2 | semidirect |
| 3. #14543725 | C2 | semidirect |
| 4. #14543712 | C2 | semidirect |
| 242. C17 | #11553 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544032 | 2 |
| C2×#11763654 | 2 |
| #14543725 | 2 |
| #14543712 | 2 |
| #14533277 | 2 |
| #11553 | 17 |