Finite Group Databasebeta

C4×C9×C1237 #56030461

order44532
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC44532
abelianC4×C9×C1237
multiplicative(ℤ/44533)ˣ, (ℤ/89066)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44532 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC44533
outer automorphism group ofC44533

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44532, 1);