Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
954 conjugacy classes of subgroups; only the 228 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 228 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. #14544313 | C2 | semidirect |
| 3. #14544305 | C2 | semidirect |
| 12. #11763668 | C22 | semidirect |
| 232. C17 | #17755 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763829 | 2 |
| #14544313 | 2 |
| #14544305 | 2 |
| C2×#11763362 | 2 |
| #17755 | 17 |