Finite Group Databasebeta

C2×#13130586 #16796978

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#13130586

Splittings

SylowC13 ⋊ C2×C4×#100

Subgroups

subgroupG/H
centerC23C2×C22⋊#261
commutatorC22×C13C22×C42
FrattiniC23C23×#261
FittingC22×C13×C22⋊C4C4
socleC23×C13C2×C22⋊C4
prime radicalC23×C22⋊D13C22
cosocleC22×Dic13C24
hypercenterC22×C22⋊C4#261
hypocenterC13C2×C4×#100
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×C22⋊C4

1970 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103627);