Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 79 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×#11718137 | C2 | semidirect |
| 2. #13113001 | C2 | semidirect |
| 3. #13112999 | C2 | semidirect |
| 6. C13×#532 | C4 | semidirect |
| 9. C13×#493 | C4 | semidirect |
| 11. C13×#492 | C4 | semidirect |
| 13. C4×C13×M16 | C4 | semidirect |
| 27. C13×C4⋊Q8 | C2×C4 | semidirect |
| 30. C13×#127 | C2×C4 | semidirect |
| 39. C4×C8×C13 | C2×C4 | semidirect |
| 40. C4×C8×C13 | C2×C4 | semidirect |
| 113. #532 | Dic13 | semidirect |
| 116. #493 | Dic13 | semidirect |
| 118. #492 | Dic13 | semidirect |
| 121. C4×M16 | Dic13 | semidirect |
| 151. C4⋊Q8 | C2×Dic13 | semidirect |
| 154. #127 | C2×Dic13 | semidirect |
| 165. C4×C8 | C2×Dic13 | semidirect |
| 166. C4×C8 | C2×Dic13 | semidirect |
| 207. C13 | #13584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718137 | 2 |
| #13113001 | 2 |
| #13112999 | 2 |
| C13×#3151 | 2 |
| #13584 | 13 |