Finite Group Databasebeta

C2×#22550387 #30651972

order16256
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#22550387

Splittings

FittingC24×C4×C127 ⋊ C2
SylowC127 ⋊ C2×#525

Subgroups

subgroupG/H
centerC22×C4C22×D127
commutator, cosocleC22×C127C25
FrattiniC22C24×D127
FittingC24×C4×C127C2
socleC23×C127C24
hypercenterC24×C4D127
hypocenterC127C2×#525
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C22×C4 ◁ C24×C4

1880 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

4088 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 17752);