Finite Group Databasebeta

C2×#13113482 #15831205

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#13113482

Splittings

FittingC2×C13×#331 ⋊ C2
SylowC13 ⋊ C2×#1540

Subgroups

subgroupG/H
centerC23C22⋊C4×D13
commutatorC2×C4×C13C23×C4
FrattiniC42C23×D13
FittingC2×C13×#331C2
socleC23×C13C2×C22⋊C4
prime radicalC2×#11719421C2
cosocleC42×C13C24
hypercenterC2×#331D13
hypocenterC13C2×#1540
LCSG ▷ C2×C4×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#331

1330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 137854);