Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
246 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 246 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 |
|---|---|---|
| 27. C13×#108 | C8 | semidirect |
| 29. #88059 | C8 | semidirect |
| 126. #108 | #1057 | semidirect |
| 166. C13 | #7176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131042 | 2 |
| C2×#11718254 | 2 |
| #108×Dic13 | 2 |
| #7176 | 13 |