Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13113627 | C2 | semidirect |
| 4. #13112669 | C2 | semidirect |
| 15. #11718138 | C4 | semidirect |
| 16. #11718138 | C4 | semidirect |
| 17. #11718136 | C4 | semidirect |
| 182. C13 | #8935 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123903 | 2 |
| #13113627 | 2 |
| #13113498 | 2 |
| #13112669 | 2 |
| C13×#1962 | 2 |
| #8935 | 13 |