Finite Group Databasebeta

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C2×C3×D283⋊C3 #23779199

order10188
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C3

Aliases

direct productC2×C3×D283⋊C3
unambiguous semidirect productD283⋊(C2×C32)
unambiguous semidirect product(C283⋊C3)⋊(C22×C3)
unambiguous semidirect product(C2×D283)⋊C32
unambiguous semidirect product(C2×C283⋊C3)⋊(C2×C3)
unambiguous semidirect product(C2×C3×D283)⋊C3

Splittings

Fitting, socleC2×C3×C283 ⋊ C2×C3
derived, SylowC283 ⋊ C22×C32
HallC3×C283⋊C3 ⋊ C22
HallC2×D283 ⋊ C32

Subgroups

subgroupG/H
center, hypercenterC2×C3D283⋊C3
commutator, cosocle, hypocenterC283C22×C32
FrattiniC1G
Fitting, socleC2×C3×C283C2×C3
LCSG ▷ C283
UCSC1 ◁ C2×C3

60 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

318 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10188, 29);