Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
258 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 92 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. #11718262 | C4 | semidirect |
| 15. #11718232 | C4 | semidirect |
| 16. C13×#346 | C4 | semidirect |
| 17. #11718094 | C4 | semidirect |
| 18. C16×Dic13 | C4 | semidirect |
| 19. C4×#6090 | C4 | semidirect |
| 91. #346 | #261 | semidirect |
| 152. C13 | #12597 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131058 | 2 |
| #13130557 | 2 |
| #13129889 | 2 |
| #13129885 | 2 |
| #13116434 | 2 |
| #12597 | 13 |