Finite Group Databasebeta

C2×#13114458 #15850632

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C4

Aliases

direct productC2×#13114458

Splittings

FittingC2×C13×#322 ⋊ C2
SylowC13 ⋊ C2×#1714

Subgroups

subgroupG/H
centerC23#88128
commutator, cosocleC42×C13C24
FrattiniC42C23×D13
FittingC2×C13×#322C2
socleC23×C13#127
prime radicalC2×#88128C22
hypercenterC2×#322D13
hypocenterC13C2×#1714
LCSG ▷ C42×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#322

914 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 157281);