Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
362 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 31. C13×C22⋊C8 | C8 | semidirect |
| 33. C22⋊#1055 | C8 | semidirect |
| 171. C22⋊C8 | #1057 | semidirect |
| 218. C13 | #7033 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130726 | 2 |
| #13130690 | 2 |
| #13114600 | 2 |
| #7033 | 13 |