Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
626 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 132 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. #13131017 | C2 | semidirect |
| 3. #13130772 | C2 | semidirect |
| 4. #13130030 | C2 | semidirect |
| 13. C13×#492 | C4 | semidirect |
| 15. #11718746 | C4 | semidirect |
| 16. #11718737 | C4 | semidirect |
| 17. #11718354 | C4 | semidirect |
| 130. C8×C13 | #102 | semidirect |
| 131. #1055 | #102 | semidirect |
| 139. #492 | #261 | semidirect |
| 244. C13 | #9842 | semidirect |
| 278. C8 | #88115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131017 | 2 |
| #13130964 | 2 |
| #13130772 | 2 |
| #13130030 | 2 |
| D13×#492 | 2 |
| #9842 | 13 |