Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1238 conjugacy classes of subgroups; only the 344 normal subgroups are shown.
This group has 1238 conjugacy classes of subgroups — too many to draw. Only its 344 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. #14545677 | C2 | semidirect |
| 2. #14544025 | C2 | semidirect |
| 3. #14544017 | C2 | semidirect |
| 20. C2×#63256 | C8 | semidirect |
| 157. C17 | #17353 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545677 | 2 |
| #14544025 | 2 |
| #14544017 | 2 |
| C2×#11763291 | 2 |
| #17353 | 17 |