Finite Group Databasebeta

C2×#22550674 #30653475

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

Aliases

direct productC2×#22550674

Splittings

FittingC22×#41×C127 ⋊ C2
SylowC127 ⋊ C2×#575

Subgroups

subgroupG/H
centerC2×C4C2×C22⋊D127
commutator, cosocleC4×C127C25
FrattiniC4C24×D127
FittingC22×#41×C127C2
socleC22×C127C22×D4
hypercenterC22×#41D127
hypocenterC127C2×#575
LCSG ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#41

1484 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, 19255);