Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₁₃⋊C₃

Direct product G=N×Q with N=C₂×C₆ and Q=C₁₃⋊C₃

		d	ρ	Label	ID
C₂×C₆×C₁₃⋊C₃		156		C2xC6xC13:C3	468,47

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊(C₁₃⋊C₃) = C₃×C₁₃⋊A₄	φ: C₁₃⋊C₃/C₁₃ → C₃ ⊆ Aut C₂×C₆	156	3	(C2xC6):(C13:C3)	468,49

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).(C₁₃⋊C₃) = C₃₉.A₄	φ: C₁₃⋊C₃/C₁₃ → C₃ ⊆ Aut C₂×C₆	234	3	(C2xC6).(C13:C3)	468,14
(C₂×C₆).₂(C₁₃⋊C₃) = C₂²×C₁₃⋊C₉	central extension (φ=1)	468		(C2xC6).2(C13:C3)	468,12

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C13⋊C3