Finite Group Databasebeta

C2×#13130078 #16792811

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#13130078

Splittings

SylowC13 ⋊ C2×#1461

Subgroups

subgroupG/H
centerC22×C4C22⋊#261
commutatorC22×C13C23×C8
FrattiniC23C23×#261
FittingC22×C42×C13C4
socleC23×C13C2×C22⋊C4
prime radicalC24×C13C22×C4
cosocleC22×Dic13C24
hypercenterC22×C42#261
hypocenterC13C2×#1461
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C22×C42

1282 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

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, 1099460);