Finite Group Databasebeta

C4×#11719116 #16796962

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42

Aliases

direct productC4×#11719116

Splittings

FittingC22×C42×C13 ⋊ C4
SylowC13 ⋊ C4×#410

Subgroups

subgroupG/H
centerC42C22⋊#261
commutatorC22×C13C22×C42
FrattiniC23C23×#261
FittingC22×C42×C13C4
socleC22×C13C22×C22⋊C4
prime radicalC22×#6127C22
cosocleC23×D13C24
hypercenterC22×C42#261
hypocenterC13C4×#410
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C42 ◁ C2×C42 ◁ C22×C42

1666 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, 1103611);