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 |
|---|---|---|
| 14. C8×Q8×C13 | C4 | semidirect |
| 15. #11718685 | C4 | semidirect |
| 18. #11718492 | C4 | semidirect |
| 23. C8×Dic26 | C4 | semidirect |
| 24. #11718303 | C4 | semidirect |
| 29. #11718245 | C4 | semidirect |
| 163. C8×Q8 | #261 | semidirect |
| 289. C13 | #8254 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130630 | 2 |
| #13130337 | 2 |
| #13130218 | 2 |
| #13130050 | 2 |
| #13129732 | 2 |
| #13129726 | 2 |
| #13123765 | 2 |
| #8254 | 13 |