Finite Group Databasebeta

C2×D13×#497 #16732347

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28×C4

Aliases

direct productC2×D13×#497

Splittings

FittingC2×C13×#497 ⋊ C2
SylowC13 ⋊ C22×#497

Subgroups

subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#497C2
socleC23×C13C22×D4
prime radicalC22×D4×D13C22
hypercenterC2×#497D13
hypocenterC13C22×#497
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#497

3350 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1038996);