Finite Group Databasebeta

C2×C89×C277 #59527602

order49306
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC49306
abelianC2×C89×C277
multiplicative(ℤ/49307)ˣ, (ℤ/98614)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49306 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC49307
outer automorphism group ofC49307

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49306, 4);