Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
516 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13123426 | C2 | semidirect |
| 2. #13116572 | C2 | semidirect |
| 3. C2×#11718145 | C2 | semidirect |
| 4. #13112937 | C2 | semidirect |
| 10. C13×#470 | C4 | semidirect |
| 11. C13×#469 | C4 | semidirect |
| 25. C2×C13×Q16 | C2×C4 | semidirect |
| 27. C2×C13×D8 | C2×C4 | semidirect |
| 48. C13×#106 | C2×C4 | semidirect |
| 54. #88057 | D4 | semidirect |
| 148. #470 | Dic13 | semidirect |
| 149. #469 | Dic13 | semidirect |
| 180. C2×Q16 | C2×Dic13 | semidirect |
| 182. C2×D8 | C2×Dic13 | semidirect |
| 210. #106 | C2×Dic13 | semidirect |
| 263. C13 | #13008 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123426 | 2 |
| #13116572 | 2 |
| C2×#11718145 | 2 |
| #13112937 | 2 |
| C13×#3054 | 2 |
| #13008 | 13 |