Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
400 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 96 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. #14545123 | C2 | semidirect |
| 3. #14544724 | C2 | semidirect |
| 4. #14543853 | C2 | semidirect |
| 245. C17 | #12825 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545123 | 2 |
| #14545112 | 2 |
| #14544724 | 2 |
| #14543853 | 2 |
| D17×#443 | 2 |
| #12825 | 17 |