Finite Group Databasebeta

C22×C7×C9×C167 #53727379

order42084
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C7×C9×C167
multiplicative(ℤ/44441)ˣ, (ℤ/63153)ˣ, (ℤ/88882)ˣ, (ℤ/126306)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

42084 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42084, 13);