Finite Group Databasebeta

C22×C8×C2003 #71045185

order64096
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C23

Aliases

abelianC22×C8×C2003
multiplicative(ℤ/128224)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

64096 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(64096, 36);