Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
734 conjugacy classes of subgroups; only the 192 normal subgroups are shown.
This group has 734 conjugacy classes of subgroups — too many to draw. Only its 192 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. #14545509 | C2 | semidirect |
| 2. #14544433 | C2 | semidirect |
| 3. #14544382 | C2 | semidirect |
| 4. #14544339 | C2 | semidirect |
| 5. #14544131 | C2 | semidirect |
| 6. #14543978 | C2 | semidirect |
| 115. C8×C17 | #131 | semidirect |
| 194. C17 | #17962 | semidirect |
| 251. C8 | #10587680 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545509 | 2 |
| #14544433 | 2 |
| #14544382 | 2 |
| #14544339 | 2 |
| #14544131 | 2 |
| #14543978 | 2 |
| #14539364 | 2 |
| #17962 | 17 |