Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
684 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 130 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 |
|---|---|---|
| 8. C2×#88123 | C4 | semidirect |
| 13. C13×#384 | C4 | semidirect |
| 17. #11718646 | C4 | semidirect |
| 45. (C2×#261)⋊C4 | Q8 | semidirect |
| 157. #384 | #261 | semidirect |
| 274. C13 | #9908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130691 | 2 |
| C4×(C2×#261)⋊C4 | 2 |
| #13129709 | 2 |
| #13123189 | 2 |
| #9908 | 13 |