Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
604 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 604 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 |
|---|---|---|
| 1. C4×Q8×#261 | C2 | semidirect |
| 4. #13130165 | C2 | semidirect |
| 5. #13129733 | C2 | semidirect |
| 6. #13129663 | C2 | semidirect |
| 21. C13×#460 | C4 | semidirect |
| 24. #11718736 | C4 | semidirect |
| 25. #11718681 | C4 | semidirect |
| 26. #11718512 | C4 | semidirect |
| 124. C4×#261 | SD16 | semidirect |
| 169. Q8×C13 | #104 | semidirect |
| 203. Dic26 | #104 | semidirect |
| 215. #460 | #261 | semidirect |
| 380. C13 | #9234 | semidirect |
| 389. Q8 | #88116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Q8×#261 | 2 |
| #13130970 | 2 |
| #13130216 | 2 |
| #13130165 | 2 |
| #13129733 | 2 |
| #13129663 | 2 |
| #13124866 | 2 |
| #9234 | 13 |