Finite Group Databasebeta

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C2×C9×D235 #22554877

order8460
isoclinismisoclinic class of D235
automorphism?
homologyAbelianization (H1) = C22×C9 · Schur multiplier (H2) = C2

Aliases

direct productC2×C9×D235
unambiguous semidirect product(C2×C5)⋊(C9×D47)
unambiguous semidirect product(C2×C47)⋊(C9×D5)

Splittings

FittingC2×C5×C9×C47 ⋊ C2
derived, HallC5×C47 ⋊ C22×C9
HallC5×C9×C47 ⋊ C22
HallC9×C47 ⋊ C2×D5
SylowC47 ⋊ C2×C9×D5
HallC5×C9 ⋊ C2×D47
SylowC5 ⋊ C2×C9×D47

Subgroups

subgroupG/H
center, hypercenterC2×C9D235
commutator, hypocenterC5×C47C22×C9
FrattiniC3C2×C3×D235
FittingC2×C5×C9×C47C2
socleC2×C3×C5×C47C2×C3
LCSG ▷ C5×C47
UCSC1 ◁ C2×C9

60 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2142 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8460, 26);