Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
370 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 370 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 |
|---|---|---|
| 17. C13×#334 | C4 | semidirect |
| 18. #11718072 | C4 | semidirect |
| 19. #11718049 | C4 | semidirect |
| 112. C8×C13 | #106 | semidirect |
| 115. #1055 | #106 | semidirect |
| 129. #334 | #261 | semidirect |
| 214. C13 | #9621 | semidirect |
| 245. C8 | #88101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130948 | 2 |
| #13130772 | 2 |
| #13130630 | 2 |
| #13129715 | 2 |
| D13×#334 | 2 |
| #9621 | 13 |