Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
310 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 17. C13×#334 | C4 | semidirect |
| 18. #11718071 | C4 | semidirect |
| 19. #11718049 | C4 | semidirect |
| 116. #334 | #261 | semidirect |
| 188. C13 | #9630 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130777 | 2 |
| #13130630 | 2 |
| #13130406 | 2 |
| #13129733 | 2 |
| #13113581 | 2 |
| #9630 | 13 |