Finite Group Databasebeta

C2×C7×C3623 #61798386

order50722
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC50722
abelianC2×C7×C3623
multiplicative(ℤ/50723)ˣ, (ℤ/101446)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

50722 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC50723
outer automorphism group ofC50723

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(50722, 4);