Finite Group DatabasebetaFinite Group Databasebeta| order | 1512 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C4 · Schur multiplier (H2) = C2 |
| direct product | C2×#10625387 |
| Hall | #4427 ⋊ C2×C4 |
| Hall | C2×Dic7 ⋊ 3−1+2 |
| Sylow | C7 ⋊ C2×C4×3−1+2 |
128 conjugacy classes of subgroups.
| transitive degree | μt(G) = 504 |
124 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1512, 152);