Finite Group Databasebeta

C4×#11719106 #16797408

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productC4×#11719106

Splittings

FittingC4×C13×SD16 ⋊ C4
SylowC13 ⋊ C4×#440

Subgroups

subgroupG/H
centerC2×C4D4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC4×C13×SD16C4
socleC22×C13C2×C4×D4
prime radicalC2×D4×D13C23
cosocleC2×C4×D13C24
hypercenterC4×SD16#261
hypocenterC13C4×#440
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×SD16

1206 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

172 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1104057);