Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 152. Q8×C13 | #101 | semidirect |
| 345. C13 | #9252 | semidirect |
| 355. Q8 | #88113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#6122 | 2 |
| #13130979 | 2 |
| #13130345 | 2 |
| #13130164 | 2 |
| #13129706 | 2 |
| #13129681 | 2 |
| C2×#11718452 | 2 |
| #9252 | 13 |