Finite Group Databasebeta

C2×C5×C4861 #58410419

order48610
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC48610
abelianC2×C5×C4861
multiplicative(ℤ/48611)ˣ, (ℤ/97222)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

48610 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC48611
outer automorphism group ofC48611

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(48610, 6);