Finite Group Databasebeta

C22×C5×C11×C211 #58317040

order46420
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C5×C11×C211
multiplicative(ℤ/48553)ˣ, (ℤ/51073)ˣ, (ℤ/97106)ˣ, (ℤ/102146)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

46420 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(46420, 33);