Finite Group Databasebeta

C2×#13116412 #15892885

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13116412

Splittings

SylowC13 ⋊ C2×#2102

Subgroups

subgroupG/H
centerC2×C4#88129
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC2×C13×H(3,ℤ/4)C2
socleC22×C13#400
prime radicalC24×C13#41
hypercenterC2×H(3,ℤ/4)D13
hypocenterC13C2×#2102
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×H(3,ℤ/4)

710 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 199534);