Finite Group Databasebeta

C2×#13130792 #16798392

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#13130792
unambiguous semidirect productD13⋊#1857

Splittings

FittingC2×C13×#101 ⋊ C4
SylowC13 ⋊ C2×#1857

Subgroups

subgroupG/H
centerC22#11719070
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC2×C13×#101C4
socleC22×C13#385
prime radicalC23×D13C2×D4
cosocleC2×C4×D13C24
hypercenterC2×#101#261
hypocenterC13C2×#1857
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#101

1402 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

130 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1105041);