Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
484 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 118 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 |
|---|---|---|
| 40. #88110 | Q8 | semidirect |
| 217. C13 | #9890 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130622 | 2 |
| C4×#88110 | 2 |
| #13129712 | 2 |
| #13123213 | 2 |
| #9890 | 13 |