Finite Group Databasebeta

C2×#13128525 #16770832

order3328
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#13128525

Splittings

FittingC23×C13×C22⋊C4 ⋊ C2
SylowC13 ⋊ C2×#3490

Subgroups

subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC23×C13×C22⋊C4C2
socleC23×C13C25
hypercenterC23×C22⋊C4D13
hypocenterC13C2×#3490
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C22⋊C4

9502 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1077481);