Finite Group Databasebeta

C2×#22550629 #30652863

order16256
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#22550629

Splittings

SylowC127 ⋊ C2×#563

Subgroups

subgroupG/H
centerC23C23×D127
commutator, cosocleC22×C127C25
FrattiniC22C24×D127
FittingC2×#123×C127C2
socleC23×C127C24
prime radicalC22×D4×C127C22
hypercenterC2×#123D127
hypocenterC127C2×#563
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C23 ◁ C2×#123

1024 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1802 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 18643);