Finite Group Databasebeta

C4×C10753 #54845026

order43012
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43012
abelianC4×C10753
multiplicative(ℤ/43013)ˣ, (ℤ/86026)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43012 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43013
outer automorphism group ofC43013

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43012, 2);