Finite Group Databasebeta

C22×C8×C1559 #60675915

order49888
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C23

Aliases

abelianC22×C8×C1559
multiplicative(ℤ/99784)ˣ, (ℤ/99808)ˣ, (ℤ/149676)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

49888 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49888, 36);