Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
568 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 3. #13129656 | C2 | semidirect |
| 4. #13129655 | C2 | semidirect |
| 286. C13 | #7681 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130499 | 2 |
| C2×#11718290 | 2 |
| #13129656 | 2 |
| #13129655 | 2 |
| #13123170 | 2 |
| #7681 | 13 |