Finite Group Databasebeta

C2×#13069783 #14781173

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

Aliases

direct productC2×#13069783

Splittings

SylowC11 ⋊ C2×#2030

Subgroups

subgroupG/H
centerC23#66990
commutator, cosocleC24×C11C24
FrattiniC24C23×D11
FittingC2×C11×#381C2
socleC23×C11#120
prime radicalC25×C11C23
hypercenterC2×#381D11
hypocenterC11C2×#2030
LCSG ▷ C24×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C25 ◁ C2×#381

1482 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 704

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 196968);