Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
352 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
| 9. #11763683 | C4 | semidirect |
| 11. C2×#10587488 | C4 | semidirect |
| 14. C2×C17×#106 | C4 | semidirect |
| 146. C2×#106 | #595 | semidirect |
| 185. C17 | #7262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545013 | 2 |
| #14544470 | 2 |
| #14528806 | 2 |
| #7262 | 17 |