Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
756 conjugacy classes of subgroups; only the 215 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 215 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. #13115325 | C2 | semidirect |
| 2. #13115318 | C2 | semidirect |
| 3. #13115235 | C2 | semidirect |
| 4. #13115220 | C2 | semidirect |
| 5. #13114985 | C2 | semidirect |
| 12. C13×#496 | C4 | semidirect |
| 13. C13×#493 | C4 | semidirect |
| 14. C13×#492 | C4 | semidirect |
| 29. C2×C13×SD16 | C2×C4 | semidirect |
| 30. C2×C13×D8 | C2×C4 | semidirect |
| 32. C13×C4⋊Q8 | C2×C4 | semidirect |
| 36. C13×#127 | C2×C4 | semidirect |
| 37. C13×#124 | C2×C4 | semidirect |
| 47. C13×#97 | C2×C4 | semidirect |
| 48. C4×C8×C13 | C2×C4 | semidirect |
| 128. #496 | Dic13 | semidirect |
| 129. #493 | Dic13 | semidirect |
| 130. #492 | Dic13 | semidirect |
| 160. C2×SD16 | C2×Dic13 | semidirect |
| 161. C2×D8 | C2×Dic13 | semidirect |
| 166. C4⋊Q8 | C2×Dic13 | semidirect |
| 170. #127 | C2×Dic13 | semidirect |
| 171. #124 | C2×Dic13 | semidirect |
| 182. #97 | C2×Dic13 | semidirect |
| 183. C4×C8 | C2×Dic13 | semidirect |
| 225. C13 | #23361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115325 | 2 |
| #13115318 | 2 |
| #13115235 | 2 |
| #13115220 | 2 |
| #13114985 | 2 |
| C13×#3151 | 2 |
| #23361 | 13 |