Finite Group Databasebeta

C2×#13124303 #16729753

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#13124303

Splittings

FittingC2×C13×#460 ⋊ C2
SylowC13 ⋊ C2×#3037

Subgroups

subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#460C2
socleC23×C13C22×D4
prime radicalC2×#11719421C2
hypercenterC2×#460D13
hypocenterC13C2×#3037
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#460

2810 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1036402);