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C4×SD16×D127 #30647483

order16256
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×SD16×D127

Splittings

FittingC4×SD16×C127 ⋊ C2
SylowC127 ⋊ C2×C4×SD16

Subgroups

subgroupG/H
centerC2×C4D4×D127
commutatorC4×C127C23×C4
FrattiniC2×C4C23×D127
FittingC4×SD16×C127C2
socleC22×C127C22×D4
prime radicalC2×D4×D127C22
cosocleC2×C4×C127C24
hypercenterC4×SD16D127
hypocenterC127C2×C4×SD16
LCSG ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×SD16

552 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1820 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 13263);