Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1128 conjugacy classes of subgroups; only the 340 normal subgroups are shown.
This group has 1128 conjugacy classes of subgroups — too many to draw. Only its 340 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. #14545751 | C2 | semidirect |
| 2. #14545022 | C2 | semidirect |
| 3. C2×#11763706 | C2 | semidirect |
| 6. C2×#10587538 | C22 | semidirect |
| 8. #11763706 | C22 | semidirect |
| 169. C17 | #33337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545751 | 2 |
| #14545022 | 2 |
| C2×#11763706 | 2 |
| C2×#11763574 | 2 |
| #33337 | 17 |