Finite Group Databasebeta

C16×C2791 #56031368

order44656
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC44656
abelianC16×C2791
multiplicative(ℤ/44657)ˣ, (ℤ/89314)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44656 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC44657
outer automorphism group ofC44657

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44656, 1);