Finite Group DatabasebetaFinite Group Databasebeta| order | 768 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4 |
| direct product | D4×#877 |
| Sylow | C3 ⋊ D4×#117 |
3562 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
150 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(768, 328961);