Finite Group Databasebeta

C2×#22550293 #30651829

order16256
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×#22550293

Splittings

SylowC127 ⋊ C2×#504

Subgroups

subgroupG/H
centerC2×C8C22×D127
commutatorC2×C127C23×C8
FrattiniC8C23×D127
FittingC2×#131×C127C2
socleC22×C127C22×C8
prime radicalC2×#41×C127C4
cosocleC8×C127C24
hypercenterC2×#131D127
hypocenterC127C2×#504
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C2×C8 ◁ C2×#131

368 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2600 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 17609);