Finite Group Databasebeta

C2×#13114582 #15860381

order3328
automorphism?
homologyAbelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C42

Aliases

direct productC2×#13114582

Splittings

SylowC13 ⋊ C2×#1744

Subgroups

subgroupG/H
centerC22×C42C2×D13
commutatorC2×C13C22×C4×C8
FrattiniC22×C4C23×D13
FittingC2×C43×C13C2
socle, prime radicalC24×C13C22×C4
cosocleC22×C4×C13C24
hypercenterC2×C43D13
hypocenterC13C2×#1744
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C42 ◁ C2×C43

1438 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 167030);