Finite Group Databasebeta

C2×C5×C7×C661 #57199205

order46270
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC46270
abelianC2×C5×C7×C661
multiplicative(ℤ/46271)ˣ, (ℤ/92542)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

46270 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC46271
outer automorphism group ofC46271

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(46270, 1);