Finite Group Databasebeta

C22×C3×C5×C11×C59 #51399808

order38940
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C3×C5×C11×C59
multiplicative(ℤ/45437)ˣ, (ℤ/58413)ˣ, (ℤ/58419)ˣ, (ℤ/77884)ˣ, (ℤ/90874)ˣ, (ℤ/116826)ˣ, (ℤ/116838)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

38940 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38940, 25);