Finite Group Databasebeta

#471×D127 #30648425

order16256
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct product#471×D127

Splittings

Fitting#471×C127 ⋊ C2
SylowC127 ⋊ C2×#471

Subgroups

subgroupG/H
centerC2#121×D127
commutator, cosocleC2×C4×C127C24
FrattiniC2×C4C23×D127
Fitting#471×C127C2
socleC2×C127C2×#121
prime radicalAGL(1,ℤ/8)×D127C2
hypercenter#471D127
hypocenterC127C2×#471
LCSG ▷ C2×C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C2 ◁ C2×C4 ◁ #471

468 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1040 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 14205);