Finite Group Databasebeta

C2×#13129452 #16770307

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

Aliases

direct productC2×#13129452

Splittings

FittingC2×C13×#551 ⋊ C2
SylowC13 ⋊ C2×#3564

Subgroups

subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#551C2
socleC23×C13C25
prime radicalC2×#11719298C2
hypercenterC2×#551D13
hypocenterC13C2×#3564
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#551

6598 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1076956);