Finite Group DatabasebetaFinite Group Databasebeta| order | 1008 |
| isoclinism | isoclinic class of #634 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C7 · Schur multiplier (H2) = C22×C3 |
| direct product | C2×C7×#634 |
| Hall | C32×C7 ⋊ C2×Q8 |
| Sylow | C32 ⋊ C2×C7×Q8 |
228 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1008 |
294 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1008, 856);