Finite Group Databasebeta

C4×C11497 #57195331

order45988
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC45988
abelianC4×C11497
multiplicative(ℤ/45989)ˣ, (ℤ/91978)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

45988 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC45989
outer automorphism group ofC45989

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45988, 2);