Finite Group DatabasebetaFinite Group Databasebeta| order | 768 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42 |
| direct product | Dic3×#336 |
| Sylow | C3 ⋊ C4×#336 |
1318 conjugacy classes of subgroups.
| transitive degree | μt(G) = 768 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(768, 74713);