Finite Group DatabasebetaFinite Group Databasebeta| order | 768 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C8 · Schur multiplier (H2) = C29 |
| direct product | D3×#2988 |
| Fitting | C3×#2988 ⋊ C2 |
| Sylow | C3 ⋊ C2×#2988 |
2434 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
204 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(768, 1034610);