Finite Group Databasebeta

C2×#13130644 #16797173

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#13130644

Splittings

FittingC2×C13×#106 ⋊ C4
SylowC13 ⋊ C2×#1773

Subgroups

subgroupG/H
centerC23D4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC2×C13×#106C4
socleC23×C13C4×D4
prime radicalC23×D13#41
cosocleC2×C4×D13C24
hypercenterC2×#106#261
hypocenterC13C2×#1773
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#106

1062 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

172 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103822);