Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
256 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 21. #11718098 | C4 | semidirect |
| 182. C13 | #13175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116631 | 2 |
| C2×#11718105 | 2 |
| #13115626 | 2 |
| #13115616 | 2 |
| #13112940 | 2 |
| #13112935 | 2 |
| C13×#2110 | 2 |
| #13175 | 13 |