Finite Group Databasebeta

C4×C5×C9×C229 #52631820

order41220
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41220
abelianC4×C5×C9×C229
multiplicative(ℤ/41221)ˣ, (ℤ/82442)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41220 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41221
outer automorphism group ofC41221

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41220, 1);