Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 106 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. #13130572 | C2 | semidirect |
| 3. #13129718 | C2 | semidirect |
| 4. #13129716 | C2 | semidirect |
| 6. C2×C13×#131 | C4 | semidirect |
| 12. #11718895 | C4 | semidirect |
| 15. #11718780 | C4 | semidirect |
| 17. #11718762 | C4 | semidirect |
| 18. #11718298 | C4 | semidirect |
| 19. #11718292 | C4 | semidirect |
| 128. C2×#131 | #261 | semidirect |
| 234. C13 | #8239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130572 | 2 |
| #13130211 | 2 |
| #13129718 | 2 |
| #13129716 | 2 |
| #13123528 | 2 |
| #8239 | 13 |