Finite Group Databasebeta

C9×D19×C83 #43249100

order28386
automorphism?
homologyAbelianization (H1) = C2×C9×C83 · Schur multiplier (H2) = C1

Aliases

direct productC9×D19×C83

Splittings

Fitting, HallC9×C19×C83 ⋊ C2
derived, SylowC19 ⋊ C2×C9×C83
HallC19×C83 ⋊ C2×C9
HallC9×C19 ⋊ C2×C83

Subgroups

subgroupG/H
center, hypercenterC9×C83D19
commutator, hypocenterC19C2×C9×C83
FrattiniC3C3×D19×C83
FittingC9×C19×C83C2
socleC3×C19×C83C2×C3
prime radicalC3×D19×C83C3
cosocleC3×C19C2×C3×C83
LCSG ▷ C19
UCSC1 ◁ C9×C83

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14193

Conjugacy classes & character table

8217 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28386, 4);