Finite Group Databasebeta

C2×#13069793 #14781211

order2816
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#13069793

Splittings

SylowC11 ⋊ C2×#2032

Subgroups

subgroupG/H
centerC22#10622560
commutator, cosocleC24×C11C24
FrattiniC24C23×D11
FittingC22×C11×#99C2
socleC22×C11#393
prime radicalC23×D4×C11C22
hypercenterC22×#99D11
hypocenterC11C2×#2032
LCSG ▷ C24×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C25 ◁ C22×#99

1434 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 352

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 197006);