Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
394 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 9. #11719158 | C4 | semidirect |
| 10. Q8×#1057 | C4 | semidirect |
| 26. C13×#333 | C4 | semidirect |
| 27. #11718138 | C4 | semidirect |
| 28. #11718078 | C4 | semidirect |
| 29. #11718074 | C4 | semidirect |
| 163. #333 | #261 | semidirect |
| 268. C13 | #8254 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131625 | 2 |
| #13130633 | 2 |
| #13130220 | 2 |
| #13130052 | 2 |
| #13129733 | 2 |
| #13129728 | 2 |
| #13113490 | 2 |
| #8254 | 13 |