Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
374 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 7. #11763704 | C4 | semidirect |
| 11. C2×#10587490 | C4 | semidirect |
| 14. C2×C17×#108 | C4 | semidirect |
| 147. C2×#108 | #595 | semidirect |
| 187. C17 | #7264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545013 | 2 |
| C2×#11763683 | 2 |
| #14528819 | 2 |
| #7264 | 17 |