Finite Group Databasebeta

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C2×C9×D869 #44530867

order31284
automorphism?
homologyAbelianization (H1) = C22×C9 · Schur multiplier (H2) = C2

Aliases

direct productC2×C9×D869
unambiguous semidirect product(C2×C11)⋊(C9×D79)

Splittings

FittingC2×C9×C11×C79 ⋊ C2
derived, HallC11×C79 ⋊ C22×C9
HallC9×C11×C79 ⋊ C22
HallC9×C79 ⋊ C2×D11
HallC9×C11 ⋊ C2×D79
SylowC79 ⋊ C2×C9×D11
SylowC11 ⋊ C2×C9×D79

Subgroups

subgroupG/H
center, hypercenterC2×C9D869
commutator, hypocenterC11×C79C22×C9
FrattiniC3C2×C3×D869
FittingC2×C9×C11×C79C2
socleC2×C3×C11×C79C2×C3
prime radicalC2×C3×D869C3
cosocleC3×C11×C79C22×C3
LCSG ▷ C11×C79
UCSC1 ◁ C2×C9

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15642

Conjugacy classes & character table

7848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31284, 32);