Finite Group Databasebeta

C2×#13131831 #16809653

order3328
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productC2×#13131831

Splittings

SylowC13 ⋊ C2×#3573

Subgroups

subgroupG/H
centerC22C24×#261
commutatorC2×C13C25×C4
FrattiniC2C25×#261
FittingC2×C13×H(5,𝔽2)C4
socleC22×C13C24×C4
prime radicalC2×#11719650C2
cosocleDic13C26
hypercenterC2×H(5,𝔽2)#261
hypocenterC13C2×#3573
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×H(5,𝔽2)

10858 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

238 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1116302);