Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
180 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 57 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. C2×#11762649 | C2 | semidirect |
| 4. #14526987 | C2 | semidirect |
| 5. #14526977 | C2 | semidirect |
| 6. #14526976 | C2 | semidirect |
| 132. C17 | #13701 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762649 | 2 |
| #14531078 | 2 |
| #14530909 | 2 |
| #14526987 | 2 |
| #14526977 | 2 |
| #14526976 | 2 |
| C17×#2222 | 2 |
| #13701 | 17 |