Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
528 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 94 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. #14544927 | C2 | semidirect |
| 3. #14544293 | C2 | semidirect |
| 5. #14543654 | C2 | semidirect |
| 6. #14543629 | C2 | semidirect |
| 159. D4×C17 | #101 | semidirect |
| 319. C17 | #9251 | semidirect |
| 397. D4 | #10587545 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×#63247 | 2 |
| #14544927 | 2 |
| #14544293 | 2 |
| #14544109 | 2 |
| #14543654 | 2 |
| #14543629 | 2 |
| C2×#11763087 | 2 |
| #9251 | 17 |