Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
206 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 65. #6092 | Q16 | semidirect |
| 162. C13 | #12054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131252 | 2 |
| #13131251 | 2 |
| #13129866 | 2 |
| #13129803 | 2 |
| Q8⋊#6092 | 2 |
| C8×#6092 | 2 |
| #13113640 | 2 |
| #12054 | 13 |