Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1062 conjugacy classes of subgroups; only the 288 normal subgroups are shown.
This group has 1062 conjugacy classes of subgroups — too many to draw. Only its 288 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 |
|---|---|---|
| 1. #13130764 | C2 | semidirect |
| 2. #13130763 | C2 | semidirect |
| 51. C42×C13 | M16 | semidirect |
| 59. C4×Dic13 | M16 | semidirect |
| 155. C42 | #6122 | semidirect |
| 156. C13 | #20772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130764 | 2 |
| #13130763 | 2 |
| #13130499 | 2 |
| C2×C42×Dic13 | 2 |
| #20772 | 13 |