Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
232 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14531035 | C2 | semidirect |
| 6. #14526917 | C2 | semidirect |
| 7. C2×C17×Q64 | C2 | semidirect |
| 87. C2×Q64 | D17 | semidirect |
| 143. C17 | #13730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762649 | 2 |
| C2×#11762648 | 2 |
| C2×#11762646 | 2 |
| #14531046 | 2 |
| #14531035 | 2 |
| #14526917 | 2 |
| C2×C17×Q64 | 2 |
| #13730 | 17 |