Finite Group Databasebeta

C22×C32×C11×C101 #51454966

order39996
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×C3

Aliases

abelianC22×C32×C11×C101
multiplicative(ℤ/40669)ˣ, (ℤ/81338)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

39996 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39996, 41);