Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
710 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 710 conjugacy classes of subgroups — too many to draw. Only its 110 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. #14544953 | C2 | semidirect |
| 2. #14544081 | C2 | semidirect |
| 3. #14544079 | C2 | semidirect |
| 4. #14544077 | C2 | semidirect |
| 5. #14544075 | C2 | semidirect |
| 6. #14544027 | C2 | semidirect |
| 383. C17 | #8321 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544953 | 2 |
| #14544081 | 2 |
| #14544079 | 2 |
| #14544077 | 2 |
| #14544075 | 2 |
| #14544027 | 2 |
| #14542208 | 2 |
| #8321 | 17 |