Finite Group Databasebeta

C2×C5×C4903 #59523382

order49030
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC49030
abelianC2×C5×C4903
multiplicative(ℤ/49031)ˣ, (ℤ/98062)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49030 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC49031
outer automorphism group ofC49031

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49030, 4);