Finite Group Databasebeta

C8×C5531 #54887609

order44248
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC44248
abelianC8×C5531
multiplicative(ℤ/44249)ˣ, (ℤ/88498)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44248 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC44249
outer automorphism group ofC44249

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44248, 1);