Finite Group Databasebeta

C4×C7×C37×C43 #56030617

order44548
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC44548
abelianC4×C7×C37×C43
multiplicative(ℤ/44549)ˣ, (ℤ/89098)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44548 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC44549
outer automorphism group ofC44549

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44548, 1);