Finite Group DatabasebetaFinite Group Databasebeta| order | 1008 |
| isoclinism | isoclinic class of #66562 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C1 |
| direct product | C3×#66568 |
| Hall | C32×C7 ⋊ SD16 |
| Sylow | C32 ⋊ #1143 |
| Sylow | C7 ⋊ C3×#204 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 336 |
126 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1008, 307);