Finite Group Databasebeta

C2×#13116478 #16015641

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

Aliases

direct productC2×#13116478

Splittings

FittingC2×C13×#413 ⋊ C2
SylowC13 ⋊ C2×#2120

Subgroups

subgroupG/H
centerC2×C4#88046
commutatorC23×C13C23×C4
FrattiniC2×D4C23×D13
FittingC2×C13×#413C2
socleC22×C13C2×#99
prime radicalC2×#11719533C2
cosocleC2×D4×C13C24
hypercenterC2×#413D13
hypocenterC13C2×#2120
LCSG ▷ C23×C13 ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C22×#41 ◁ C2×#413

1398 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, 322290);