Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1018 conjugacy classes of subgroups; only the 224 normal subgroups are shown.
This group has 1018 conjugacy classes of subgroups — too many to draw. Only its 224 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. C2×#11719145 | C2 | semidirect |
| 2. #13130957 | C2 | semidirect |
| 3. #13130813 | C2 | semidirect |
| 4. #13130751 | C2 | semidirect |
| 5. #13130550 | C2 | semidirect |
| 48. C4×#1057 | D4 | semidirect |
| 74. C42×C13 | M16 | semidirect |
| 218. C42 | #6122 | semidirect |
| 219. C13 | #22264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719145 | 2 |
| #13130957 | 2 |
| #13130813 | 2 |
| #13130751 | 2 |
| #13130550 | 2 |
| #127×Dic13 | 2 |
| #22264 | 13 |