Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
686 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 136 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 |
|---|---|---|
| 6. C2×C13×C4⋊Q8 | C4 | semidirect |
| 13. #11718891 | C4 | semidirect |
| 18. #11718596 | C4 | semidirect |
| 154. C2×C4⋊Q8 | #261 | semidirect |
| 197. C4×C13 | #328 | semidirect |
| 291. C13 | #9679 | semidirect |
| 373. C4 | #11718298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88111 | 2 |
| C2×#11718298 | 2 |
| #13130014 | 2 |
| #13123183 | 2 |
| #9679 | 13 |