Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C9⋊C9

Direct product G=N×Q with N=C3 and Q=C2×C9⋊C9
dρLabelID
C6×C9⋊C9486C6xC9:C9486,192

Semidirect products G=N:Q with N=C3 and Q=C2×C9⋊C9
extensionφ:Q→Aut NdρLabelID
C3⋊(C2×C9⋊C9) = S3×C9⋊C9φ: C2×C9⋊C9/C9⋊C9C2 ⊆ Aut C3162C3:(C2xC9:C9)486,97

Non-split extensions G=N.Q with N=C3 and Q=C2×C9⋊C9
extensionφ:Q→Aut NdρLabelID
C3.1(C2×C9⋊C9) = C2×C3.C92central extension (φ=1)486C3.1(C2xC9:C9)486,62
C3.2(C2×C9⋊C9) = C2×C9⋊C27central extension (φ=1)486C3.2(C2xC9:C9)486,81
C3.3(C2×C9⋊C9) = C2×C27⋊C9central stem extension (φ=1)549C3.3(C2xC9:C9)486,82

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