Finite Group Databasebeta

C2×C3×C5×C1871 #64159737

order56130
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC56130
abelianC2×C3×C5×C1871
multiplicative(ℤ/56131)ˣ, (ℤ/112262)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

56130 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC56131
outer automorphism group ofC56131

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(56130, 1);