Finite Group Databasebeta

C2×#22550527 #30652187

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

Aliases

direct productC2×#22550527

Splittings

FittingC22×C4⋊C4×C127 ⋊ C2
SylowC127 ⋊ C2×#547

Subgroups

subgroupG/H
centerC23C23×D127
commutator, cosocleC22×C127C25
FrattiniC22C24×D127
FittingC22×C4⋊C4×C127C2
socleC23×C127C24
hypercenterC22×C4⋊C4D127
hypocenterC127C2×#547
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C23 ◁ C22×C4⋊C4

1632 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2570 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 17967);