Finite Group DatabasebetaFinite Group Databasebeta| order | 768 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C28 |
| direct product | C22×#4550 |
| Sylow | C3 ⋊ C22×#336 |
3086 conjugacy classes of subgroups.
| transitive degree | μt(G) = 768 |
288 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(768, 166918);