Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1050 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 1050 conjugacy classes of subgroups — too many to draw. Only its 184 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. #13131328 | C2 | semidirect |
| 2. #13130968 | C2 | semidirect |
| 3. #13130831 | C2 | semidirect |
| 4. #13130758 | C2 | semidirect |
| 5. #13130554 | C2 | semidirect |
| 16. C13×#493 | C4 | semidirect |
| 17. #11718812 | C4 | semidirect |
| 18. #11718734 | C4 | semidirect |
| 19. #11718356 | C4 | semidirect |
| 32. C2×C13×D8 | C2×C4 | semidirect |
| 33. C13×#127 | C2×C4 | semidirect |
| 35. #88194 | C2×C4 | semidirect |
| 36. C2×#6104 | C2×C4 | semidirect |
| 38. C2×D104 | C2×C4 | semidirect |
| 40. #88128 | C2×C4 | semidirect |
| 46. C4×C8×C13 | C2×C4 | semidirect |
| 47. C8×Dic13 | C2×C4 | semidirect |
| 48. C4×#1055 | C2×C4 | semidirect |
| 120. #493 | #261 | semidirect |
| 152. C2×D8 | C2×#261 | semidirect |
| 158. #127 | C2×#261 | semidirect |
| 169. C4×C8 | C2×#261 | semidirect |
| 208. C13 | #22276 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131328 | 2 |
| #13130968 | 2 |
| #13130831 | 2 |
| #13130758 | 2 |
| #13130554 | 2 |
| D13×#493 | 2 |
| #22276 | 13 |