Finite Group Databasebeta

C22×C4×C2699 #54870041

order43184
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C23

Aliases

abelianC22×C4×C2699
multiplicative(ℤ/80985)ˣ, (ℤ/86384)ˣ, (ℤ/107980)ˣ, (ℤ/161970)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43184 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43184, 10);