Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 420 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×#11718134 | C2 | semidirect |
| 2. C2×#11718133 | C2 | semidirect |
| 3. #13112996 | C2 | semidirect |
| 4. #13112993 | C2 | semidirect |
| 8. C13×#532 | C4 | semidirect |
| 10. C13×#497 | C4 | semidirect |
| 12. C13×#496 | C4 | semidirect |
| 16. C4×C13×M16 | C4 | semidirect |
| 39. C13×C4⋊Q8 | C2×C4 | semidirect |
| 40. C13×#127 | C2×C4 | semidirect |
| 53. C13×#97 | C2×C4 | semidirect |
| 54. C13×#97 | C2×C4 | semidirect |
| 157. #532 | Dic13 | semidirect |
| 159. #497 | Dic13 | semidirect |
| 161. #496 | Dic13 | semidirect |
| 167. C4×M16 | Dic13 | semidirect |
| 209. C4⋊Q8 | C2×Dic13 | semidirect |
| 210. #127 | C2×Dic13 | semidirect |
| 226. #97 | C2×Dic13 | semidirect |
| 227. #97 | C2×Dic13 | semidirect |
| 286. C13 | #13578 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718134 | 2 |
| C2×#11718133 | 2 |
| #13112996 | 2 |
| #13112993 | 2 |
| C13×#3153 | 2 |
| #13578 | 13 |