Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C27⋊C3

Direct product G=N×Q with N=C3 and Q=C2×C27⋊C3
dρLabelID
C6×C27⋊C3162C6xC27:C3486,208

Semidirect products G=N:Q with N=C3 and Q=C2×C27⋊C3
extensionφ:Q→Aut NdρLabelID
C3⋊(C2×C27⋊C3) = S3×C27⋊C3φ: C2×C27⋊C3/C27⋊C3C2 ⊆ Aut C3546C3:(C2xC27:C3)486,114

Non-split extensions G=N.Q with N=C3 and Q=C2×C27⋊C3
extensionφ:Q→Aut NdρLabelID
C3.1(C2×C27⋊C3) = C2×C272C9central extension (φ=1)486C3.1(C2xC27:C3)486,71
C3.2(C2×C27⋊C3) = C2×C32⋊C27central extension (φ=1)162C3.2(C2xC27:C3)486,72
C3.3(C2×C27⋊C3) = C2×C9⋊C27central extension (φ=1)486C3.3(C2xC27:C3)486,81

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