Finite Group Databasebeta

C2×#13113909 #15838537

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13113909

Splittings

FittingC2×C13×#333 ⋊ C2
SylowC13 ⋊ C2×#1622

Subgroups

subgroupG/H
centerC23#88136
commutator, cosocleC42×C13C24
FrattiniC42C23×D13
FittingC2×C13×#333C2
socleC23×C13#120
prime radicalC2×#11718504C2
hypercenterC2×#333D13
hypocenterC13C2×#1622
LCSG ▷ C42×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#333

1170 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 145186);