Finite Group Databasebeta

C2×#13128654 #16771250

order3328
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#13128654

Splittings

FittingC2×Q82×C13 ⋊ C2
SylowC13 ⋊ C2×#3503

Subgroups

subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×Q82×C13C2
socleC23×C13C25
prime radicalC22×#6131C22
hypercenterC2×Q82D13
hypocenterC13C2×#3503
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×Q82

7478 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1077899);