Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
492 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 88 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. #13131028 | C2 | semidirect |
| 4. C2×#11718303 | C2 | semidirect |
| 5. #13129727 | C2 | semidirect |
| 6. #13129680 | C2 | semidirect |
| 121. #6122 | SD16 | semidirect |
| 391. C13 | #9267 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131580 | 2 |
| #13131028 | 2 |
| #13130348 | 2 |
| C2×#11718303 | 2 |
| #13129727 | 2 |
| #13129680 | 2 |
| #13125759 | 2 |
| #9267 | 13 |