Finite Group Databasebeta

C2×C5×C5827 #66405437

order58270
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC58270
abelianC2×C5×C5827
multiplicative(ℤ/58271)ˣ, (ℤ/116542)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

58270 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC58271
outer automorphism group ofC58271

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(58270, 4);