Finite Group DatabasebetaFinite Group Databasebeta| order | 1968 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C3×D4×C41 ⋊ C2 |
| Hall | C3×C41 ⋊ D8 |
| Sylow | C41 ⋊ #213 |
| Sylow | C3 ⋊ #10620282 |
44 conjugacy classes of subgroups.
| minimal degree | μ(G) = 52 |
| transitive degree | μt(G) = 984 |
Polycyclic presentation:
2^4,3,41|c^2=d,b^a=bc,c^a=cd,e^a=e^2,f^a=f^40,c^b=cd312 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1968, 76);