Finite Group Databasebeta

C2×C5×C29×C197 #65290259

order57130
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC57130
abelianC2×C5×C29×C197
multiplicative(ℤ/57131)ˣ, (ℤ/114262)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

57130 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC57131
outer automorphism group ofC57131

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(57130, 1);