Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
472 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 80. Q8×C13 | Q32 | semidirect |
| 168. C13 | #33930 | semidirect |
| 174. Q8 | #88069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic52 | 2 |
| #13117063 | 2 |
| #13116988 | 2 |
| #13116883 | 2 |
| Q8×#6090 | 2 |
| C4×#88069 | 2 |
| C13×#3395 | 2 |
| #33930 | 13 |