Finite Group Databasebeta

C4×C5×C37×C59 #54876175

order43660
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43660
abelianC4×C5×C37×C59
multiplicative(ℤ/43661)ˣ, (ℤ/87322)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43660 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43661
outer automorphism group ofC43661

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43660, 1);