Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
350 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 18. #11718492 | C4 | semidirect |
| 20. #11718491 | C4 | semidirect |
| 246. C13 | #8679 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123766 | 2 |
| #13114966 | 2 |
| #13113582 | 2 |
| #13113401 | 2 |
| #13113399 | 2 |
| #13112696 | 2 |
| C13×#1286 | 2 |
| #8679 | 13 |