Finite Group Databasebeta

C2×C3×C5×C7×C11×C19 #54879681

order43890
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43890
abelianC2×C3×C5×C7×C11×C19
multiplicative(ℤ/43891)ˣ, (ℤ/87782)ˣ

Subgroups

subgroupG/H
center?
commutator?
Frattini?
LCS?
UCS?

Subgroup lattice not available for this group.

Conjugacy classes & character table

43890 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43891
outer automorphism group ofC43891

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43890, 1);