Finite Group Databasebeta

C2×C4×C16×C499 #71025555

order63872
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C22×C4

Aliases

abelianC2×C4×C16×C499
multiplicative(ℤ/101847)ˣ, (ℤ/127808)ˣ, (ℤ/135796)ˣ, (ℤ/203694)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

63872 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(63872, 837);