Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
848 conjugacy classes of subgroups; only the 208 normal subgroups are shown.
This group has 848 conjugacy classes of subgroups — too many to draw. Only its 208 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. #14545683 | C2 | semidirect |
| 3. #14544057 | C2 | semidirect |
| 4. #14544047 | C2 | semidirect |
| 230. C17 | #17410 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545683 | 2 |
| #14544065 | 2 |
| #14544057 | 2 |
| #14544047 | 2 |
| #14544035 | 2 |
| C2×#11763419 | 2 |
| #17410 | 17 |