Finite Group Databasebeta

C2×C25×C827 #52633788

order41350
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41350
abelianC2×C25×C827
multiplicative(ℤ/41351)ˣ, (ℤ/82702)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41350 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41351
outer automorphism group ofC41351

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41350, 1);