Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
658 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#11763137 | C2 | semidirect |
| 3. C2×#11762546 | C2 | semidirect |
| 5. #14527051 | C2 | semidirect |
| 6. #14526627 | C2 | semidirect |
| 303. C17 | #9971 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763137 | 2 |
| C2×#11763120 | 2 |
| C2×#11762546 | 2 |
| C2×#11762543 | 2 |
| #14527051 | 2 |
| #14526627 | 2 |
| C17×#2639 | 2 |
| #9971 | 17 |