Finite Group Databasebeta

C22×C3×C3677 #54885038

order44124
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C3×C3677
multiplicative(ℤ/66189)ˣ, (ℤ/88252)ˣ, (ℤ/132378)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44124 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44124, 5);