Finite Group Databasebeta

C2×C5×C7×C17×C47 #64157164

order55930
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC55930
abelianC2×C5×C7×C17×C47
multiplicative(ℤ/55931)ˣ, (ℤ/111862)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

55930 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC55931
outer automorphism group ofC55931

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(55930, 1);