Finite Group Databasebeta

C2×#13124210 #16729575

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×#13124210

Splittings

FittingC2×C13×#413 ⋊ C2
SylowC13 ⋊ C2×#3021

Subgroups

subgroupG/H
centerC22C2×#88136
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#413C2
socleC22×C13C2×#120
hypercenterC2×#413D13
hypocenterC13C2×#3021
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#413

4934 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1036224);