Finite Group Databasebeta

C2×C5×C4999 #60677728

order49990
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC49990
abelianC2×C5×C4999
multiplicative(ℤ/49991)ˣ, (ℤ/99982)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49990 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC49991
outer automorphism group ofC49991

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49990, 4);