Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
308 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 13. #11718220 | C4 | semidirect |
| 14. #11718219 | C4 | semidirect |
| 15. C13×#346 | C4 | semidirect |
| 16. C16×Dic13 | C4 | semidirect |
| 17. C16×Dic13 | C4 | semidirect |
| 18. #11718053 | C4 | semidirect |
| 96. #346 | #261 | semidirect |
| 158. C13 | #12668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131183 | 2 |
| #13130638 | 2 |
| #13129906 | 2 |
| #13129904 | 2 |
| #13116429 | 2 |
| #12668 | 13 |