Finite Group DatabasebetaFinite Group Databasebeta| order | 1968 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C41 ⋊ M16 |
| Sylow | C41 ⋊ #208 |
| Sylow | C3 ⋊ #10620297 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 984 |
Polycyclic presentation:
2^4,3,41|a^2=c,b^2=d,c^2=d,b^a=bd,e^a=e^2,f^a=f^32,f^c=f^40138 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1968, 115);