Finite Group Databasebeta

C2×#13116742 #16016404

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13116742

Splittings

SylowC13 ⋊ C2×#2183

Subgroups

subgroupG/H
centerC22×C8C22×D13
commutatorC22×C13C23×C8
FrattiniC2×C8C23×D13
FittingC2×C13×#346C2
socle, prime radicalC23×C13C22×C8
cosocleC2×C8×C13C24
hypercenterC2×#346D13
hypocenterC13C2×#2183
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C8 ◁ C2×#346

542 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 323053);