Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
180 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
| 5. #14526987 | C2 | semidirect |
| 6. #14526978 | C2 | semidirect |
| 7. C17×#1420 | C2 | semidirect |
| 86. #1420 | D17 | 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 |
| #14531079 | 2 |
| #14530910 | 2 |
| #14530906 | 2 |
| #14526987 | 2 |
| #14526978 | 2 |
| C17×#1420 | 2 |
| #13701 | 17 |