Finite Group Databasebeta

C2×#13130924 #16798849

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#13130924

Splittings

FittingC2×C13×#100 ⋊ C4
SylowC13 ⋊ C2×#1932

Subgroups

subgroupG/H
centerC22#11719071
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC2×C13×#100C4
socleC22×C13#388
prime radicalC22×#6129C22
cosocleC2×C4×D13C24
hypercenterC2×#100#261
hypocenterC13C2×#1932
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#100

1046 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

130 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1105498);