Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 15. #1057⋊C8 | C4 | semidirect |
| 16. #1057⋊C8 | C4 | semidirect |
| 17. #11718251 | C4 | semidirect |
| 18. C8×#1057 | C4 | semidirect |
| 211. C13 | #8142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130049 | 2 |
| #13130039 | 2 |
| #13129662 | 2 |
| #13129660 | 2 |
| #13114586 | 2 |
| #8142 | 13 |