Finite Group Databasebeta

C2×D13×#529 #16769592

order3328
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×D13×#529

Splittings

FittingC2×C13×#529 ⋊ C2
SylowC13 ⋊ C22×#529

Subgroups

subgroupG/H
centerC22×C4C23×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#529C2
socleC23×C13C25
prime radicalC2×D13×#121C2
hypercenterC2×#529D13
hypocenterC13C22×#529
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×#529

8670 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1076241);