Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 12. #11762585 | C4 | semidirect |
| 13. C4×#63214 | C4 | semidirect |
| 150. C17 | #12893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530381 | 2 |
| #14528908 | 2 |
| #14526887 | 2 |
| #14526885 | 2 |
| #14526881 | 2 |
| #14526879 | 2 |
| C17×#1833 | 2 |
| #12893 | 17 |