Finite Group Databasebeta

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SD16×C22⋊D127 #30650420

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

Aliases

direct productSD16×C22⋊D127

Splittings

FittingC22×SD16×C127 ⋊ C2
SylowC127 ⋊ D4×SD16

Subgroups

subgroupG/H
centerC22C2×D4×D127
commutator, cosocleC2×C4×C127C24
FrattiniC2×C4C23×D127
FittingC22×SD16×C127C2
socleC22×C127C22×D4
prime radicalD4×C22⋊D127C2
hypercenterC22×SD16D127
hypocenterC127D4×SD16
LCSG ▷ C2×C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×SD16

546 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1799 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 16200);