Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
290 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 8. #11763655 | C4 | semidirect |
| 12. C2×C4×#3622 | C4 | semidirect |
| 14. C2×C17×#97 | C4 | semidirect |
| 118. C2×#97 | #595 | semidirect |
| 152. C17 | #7214 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544681 | 2 |
| #14544037 | 2 |
| #14528553 | 2 |
| #7214 | 17 |