Finite Group Databasebeta

C2×#22550504 #30652128

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

Aliases

direct productC2×#22550504

Splittings

SylowC127 ⋊ C2×#544

Subgroups

subgroupG/H
centerC23C23×D127
commutator, cosocleC22×C127C25
FrattiniC22C24×D127
FittingC2×#117×C127C2
socleC23×C127C24
prime radicalC24×C127C23
hypercenterC2×#117D127
hypocenterC127C2×#544
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C23 ◁ C2×#117

1080 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2564 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 17908);