Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
574 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 84 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. #13131276 | C2 | semidirect |
| 4. #13130179 | C2 | semidirect |
| 5. #13129723 | C2 | semidirect |
| 6. #13129688 | C2 | semidirect |
| 20. C13×#460 | C4 | semidirect |
| 23. #11718736 | C4 | semidirect |
| 24. #11718682 | C4 | semidirect |
| 25. #11718511 | C4 | semidirect |
| 160. Q8×C13 | #104 | semidirect |
| 190. Dic26 | #104 | semidirect |
| 202. #460 | #261 | semidirect |
| 356. C13 | #9326 | semidirect |
| 364. Q8 | #88116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131276 | 2 |
| #13131000 | 2 |
| #13130225 | 2 |
| #13130179 | 2 |
| #13129723 | 2 |
| #13129688 | 2 |
| #13124957 | 2 |
| #9326 | 13 |