Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
702 conjugacy classes of subgroups; only the 270 normal subgroups are shown.
This group has 702 conjugacy classes of subgroups — too many to draw. Only its 270 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 |
|---|---|---|
| 2. #14544354 | C2 | semidirect |
| 3. #14544343 | C2 | semidirect |
| 4. #14544329 | C2 | semidirect |
| 88. #3622 | #131 | semidirect |
| 148. C17 | #17828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545430 | 2 |
| #14544354 | 2 |
| #14544343 | 2 |
| #14544329 | 2 |
| C8×#63256 | 2 |
| #17828 | 17 |