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

		d	ρ	Label	ID
C₆×C₂₇⋊C₃		162		C6xC27:C3	486,208

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₂₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₂₇⋊C₃) = S₃×C₂₇⋊C₃	φ: C₂×C₂₇⋊C₃/C₂₇⋊C₃ → C₂ ⊆ Aut C₃	54	6	C3:(C2xC27:C3)	486,114

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₂₇⋊C₃

extension	φ:Q→Aut N	d	Label	ID
C₃.₁(C₂×C₂₇⋊C₃) = C₂×C₂₇⋊₂C₉	central extension (φ=1)	486	C3.1(C2xC27:C3)	486,71
C₃.₂(C₂×C₂₇⋊C₃) = C₂×C₃²⋊C₂₇	central extension (φ=1)	162	C3.2(C2xC27:C3)	486,72
C₃.₃(C₂×C₂₇⋊C₃) = C₂×C₉⋊C₂₇	central extension (φ=1)	486	C3.3(C2xC27:C3)	486,81

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