Finite Group Databasebeta

C2×#13082313 #15661826

order2816
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#13082313

Splittings

SylowC11 ⋊ C2×#3491

Subgroups

subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
Fitting, prime radicalC2×C11×#534C2
socleC23×C11C25
hypercenterC2×#534D11
hypocenterC11C2×#3491
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#534

7390 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 704

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 1077621);