Finite Group Databasebeta

C2×C3×C7×C1061 #56030720

order44562
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC44562
abelianC2×C3×C7×C1061
multiplicative(ℤ/44563)ˣ, (ℤ/89126)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44562 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC44563
outer automorphism group ofC44563

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44562, 1);