Finite Group Databasebeta

C2×C5×C9×C17×C29 #56005019

order44370
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC44370
abelianC2×C5×C9×C17×C29
multiplicative(ℤ/44371)ˣ, (ℤ/88742)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

44370 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC44371
outer automorphism group ofC44371

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44370, 1);