Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
262 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 262 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 |
|---|---|---|
| 10. #11718258 | C4 | semidirect |
| 12. #11718254 | C4 | semidirect |
| 28. C13×#106 | C8 | semidirect |
| 31. #88057 | C8 | semidirect |
| 130. #106 | #1057 | semidirect |
| 170. C13 | #7175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131042 | 2 |
| #13130383 | 2 |
| #106×Dic13 | 2 |
| #7175 | 13 |