Finite Group Databasebeta

C4×C10009 #51455271

order40036
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40036
abelianC4×C10009
multiplicative(ℤ/40037)ˣ, (ℤ/80074)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40036 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40037
outer automorphism group ofC40037

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40036, 2);