Finite Group Databasebeta

C2×#13116679 #16016154

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13116679

Splittings

FittingC2×C13×#346 ⋊ C2
SylowC13 ⋊ C2×#2171

Subgroups

subgroupG/H
centerC2×C8C2×D52
commutatorC4×C13C23×C8
FrattiniC2×C8C23×D13
FittingC2×C13×#346C2
socleC22×C13C8×D4
prime radicalC2×#88158C4
cosocleC2×C8×C13C24
hypercenterC2×#346D13
hypocenterC13C2×#2171
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ C22×C16 ◁ C2×#346

654 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 322803);