Finite Group Databasebeta

C4×#11719111 #16797424

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

Aliases

direct productC4×#11719111

Splittings

FittingC4×C13×Q16 ⋊ C4
SylowC13 ⋊ C4×#443

Subgroups

subgroupG/H
centerC2×C4D4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC4×C13×Q16C4
socleC22×C13C2×C4×D4
prime radicalC2×#88173C22
cosocleC2×C4×D13C24
hypercenterC4×Q16#261
hypocenterC13C4×#443
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×Q16

1046 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

196 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1104073);