Finite Group Databasebeta

C22×C3×C7×C232 #56024927

order44436
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×C23

Aliases

abelianC22×C3×C7×C232
multiplicative(ℤ/45449)ˣ, (ℤ/90898)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44436 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44436, 63);