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C7×D9×D47 #26044872

order11844
automorphism?
homologyAbelianization (H1) = C22×C7 · Schur multiplier (H2) = C2

Aliases

direct productC7×D9×D47
unambiguous semidirect product(D9×C47)⋊(C2×C7)
unambiguous semidirect product(C9×D47)⋊(C2×C7)
unambiguous semidirect productD423⋊(C2×C7)

Splittings

Fitting, HallC7×C9×C47 ⋊ C22
derived, HallC9×C47 ⋊ C22×C7
HallC7×C47 ⋊ C2×D9
HallC7×C9 ⋊ C2×D47
SylowC47 ⋊ C2×C7×D9
SylowC9 ⋊ C2×C7×D47

Subgroups

subgroupG/H
center, hypercenterC7D9×D47
commutator, cosocle, hypocenterC9×C47C22×C7
FrattiniC3D3×C7×D47
FittingC7×C9×C47C22
socleC3×C7×C47C2×D3
LCSG ▷ C9×C47
UCSC1 ◁ C7

60 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1050 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11844, 19);