Finite Group Databasebeta

C3×C4×C5×C7×C103 #54870653

order43260
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43260
abelianC3×C4×C5×C7×C103
multiplicative(ℤ/43261)ˣ, (ℤ/86522)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43260 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43261
outer automorphism group ofC43261

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43260, 1);