Finite Group Databasebeta

C2×C7×C3719 #62936587

order52066
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC52066
abelianC2×C7×C3719
multiplicative(ℤ/52067)ˣ, (ℤ/104134)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

52066 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC52067
outer automorphism group ofC52067

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(52066, 4);