Finite Group Databasebeta

#473×D127 #30648439

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

Aliases

direct product#473×D127

Splittings

Fitting#473×C127 ⋊ C2
SylowC127 ⋊ C2×#473

Subgroups

subgroupG/H
centerC2#121×D127
commutator, cosocleC2×C4×C127C24
FrattiniC2×C4C23×D127
Fitting#473×C127C2
socleC2×C127C2×#121
prime radical#41×D127C22
hypercenter#473D127
hypocenterC127C2×#473
LCSG ▷ C2×C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C2 ◁ C2×C4 ◁ #473

448 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, 14219);