Finite Group Databasebeta

C2×C5×C17×C317 #63017848

order53890
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC53890
abelianC2×C5×C17×C317
multiplicative(ℤ/53891)ˣ, (ℤ/107782)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

53890 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC53891
outer automorphism group ofC53891

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(53890, 1);