Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
444 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 2. #13130494 | C2 | semidirect |
| 4. #13130034 | C2 | semidirect |
| 5. #13129730 | C2 | semidirect |
| 6. #13129725 | C2 | semidirect |
| 9. #11719158 | C4 | semidirect |
| 10. Q8×#1057 | C4 | semidirect |
| 11. #11719145 | C4 | semidirect |
| 12. D4×#1057 | C4 | semidirect |
| 29. C13×#329 | C4 | semidirect |
| 30. #11718132 | C4 | semidirect |
| 31. #11718057 | C4 | semidirect |
| 32. #11718057 | C4 | semidirect |
| 184. #329 | #261 | semidirect |
| 301. C13 | #8247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131650 | 2 |
| #13130494 | 2 |
| #13130208 | 2 |
| #13130034 | 2 |
| #13129730 | 2 |
| #13129725 | 2 |
| #13113421 | 2 |
| #8247 | 13 |