Finite Group DatabasebetaFinite Group Databasebeta| order | 1488 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C3×C4×C31 ⋊ C2 |
| Hall | C3×C31 ⋊ C22⋊C4 |
| Sylow | C31 ⋊ (C2×D3)⋊C4 |
| Sylow | C3 ⋊ (C2×D31)⋊C4 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 744 |
Polycyclic presentation:
2^4,3,31|b^2=c,b^a=bd,e^a=e^2,f^a=f^30378 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1488, 100);