Finite Group Databasebeta

D13×#3076 #16730412

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productD13×#3076

Splittings

FittingC13×#3076 ⋊ C2
SylowC13 ⋊ C2×#3076

Subgroups

subgroupG/H
centerC2×C4C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3076C2
socleC22×C13C23×D4
prime radicalC2×#41×D13C22
hypercenter#3076D13
hypocenterC13C2×#3076
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3076

2162 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1037061);