Finite Group Databasebeta

C2×#13113901 #15838774

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#13113901

Splittings

FittingC2×C13×#550 ⋊ C2
SylowC13 ⋊ C2×#1621

Subgroups

subgroupG/H
centerC23#88207
commutator, cosocleC42×C13C24
FrattiniC42C23×D13
FittingC2×C13×#550C2
socleC23×C13#120
hypercenterC2×#550D13
hypocenterC13C2×#1621
LCSG ▷ C42×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#550

1438 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 145423);