Finite Group Databasebeta

C2×C73×C443 #72151980

order64678
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC64678
abelianC2×C73×C443
multiplicative(ℤ/64679)ˣ, (ℤ/129358)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

64678 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC64679
outer automorphism group ofC64679

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(64678, 4);