Finite Group Databasebeta

C2×C3×C25×C269 #52596239

order40350
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40350
abelianC2×C3×C25×C269
multiplicative(ℤ/40351)ˣ, (ℤ/80702)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40350 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40351
outer automorphism group ofC40351

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40350, 1);