Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
522 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 102 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. #13130574 | C2 | semidirect |
| 3. #13130571 | C2 | semidirect |
| 5. #13129719 | C2 | semidirect |
| 6. #13129717 | C2 | semidirect |
| 8. C2×#88240 | C4 | semidirect |
| 11. #11719159 | C4 | semidirect |
| 17. #11719079 | C4 | semidirect |
| 20. #11719072 | C4 | semidirect |
| 25. #11718298 | C4 | semidirect |
| 28. #11718240 | C4 | semidirect |
| 29. C13×#328 | C4 | semidirect |
| 30. #11718130 | C4 | semidirect |
| 31. #11718062 | C4 | semidirect |
| 32. #11718043 | C4 | semidirect |
| 219. #328 | #261 | semidirect |
| 365. C13 | #8240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131552 | 2 |
| #13130574 | 2 |
| #13130571 | 2 |
| #13130214 | 2 |
| #13129719 | 2 |
| #13129717 | 2 |
| #13113326 | 2 |
| #8240 | 13 |