Finite Group Databasebeta

C2×#13115364 #15864899

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

Aliases

direct productC2×#13115364

Splittings

SylowC13 ⋊ C2×#1910

Subgroups

subgroupG/H
centerC22#11718881
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
Fitting, prime radicalC2×C13×#535C2
socleC22×C13#386
cosocleC22×C4×C13C24
hypercenterC2×#535D13
hypocenterC13C2×#1910
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#535

1878 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 171548);