Finite Group Databasebeta

C2×#13116486 #16015651

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#13116486

Splittings

SylowC13 ⋊ C2×#2122

Subgroups

subgroupG/H
centerC22C2×#88074
commutatorC23×C13C23×C4
FrattiniC2×D4C23×D13
Fitting, prime radicalC2×C13×#535C2
socleC22×C13C2×#99
cosocleC2×D4×C13C24
hypercenterC2×#535D13
hypocenterC13C2×#2122
LCSG ▷ C23×C13 ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×#41 ◁ C2×#535

1406 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 322300);