Finite Group Databasebeta

C2×C5×C4003 #51455258

order40030
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40030
abelianC2×C5×C4003
multiplicative(ℤ/40031)ˣ, (ℤ/80062)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40030 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40031
outer automorphism group ofC40031

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40030, 4);