Finite Group Databasebeta

C2×#22549903 #30647289

order16256
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#22549903

Splittings

SylowC127 ⋊ C2×#424

Subgroups

subgroupG/H
centerC22×C4C22×D127
commutatorC22×C127C23×C4
FrattiniC2×C4C23×D127
FittingC2×#117×C127C2
socleC23×C127C22×C4
prime radicalC24×C127C2×C4
cosocleC2×C4×C127C24
hypercenterC2×#117D127
hypocenterC127C2×#424
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C22×C4 ◁ C2×#117

512 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2576 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 13069);