Finite Group Databasebeta

C2×#13129756 #16786698

order3328
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13129756

Splittings

SylowC13 ⋊ C2×#1314

Subgroups

subgroupG/H
centerC22×C4C22⋊#261
commutatorC22×C13C22×C16
FrattiniC22×C4C22×#261
FittingC24×C4×C13C4
socleC23×C13C22⋊C8
prime radicalC25×C13C8
cosocleC22×#1055C23
hypercenterC24×C4#261
hypocenterC13C2×#1314
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C24×C4

682 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1093347);