Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 17. #11718251 | C4 | semidirect |
| 18. C8×#1057 | C4 | semidirect |
| 19. C13×#322 | C4 | semidirect |
| 20. #11718047 | C4 | semidirect |
| 21. #11718046 | C4 | semidirect |
| 22. #11718046 | C4 | semidirect |
| 121. #322 | #261 | semidirect |
| 191. C13 | #8141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130554 | 2 |
| #13130040 | 2 |
| #13129661 | 2 |
| #13129659 | 2 |
| #13113127 | 2 |
| #8141 | 13 |