Finite Group Databasebeta

C4×C17×C647 #54881016

order43996
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC43996
abelianC4×C17×C647
multiplicative(ℤ/43997)ˣ, (ℤ/87994)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

43996 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC43997
outer automorphism group ofC43997

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43996, 1);