Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=D₁₃

Direct product G=N×Q with N=C₂×C₆ and Q=D₁₃

		d	ρ	Label	ID
C₂×C₆×D₁₃		156		C2xC6xD13	312,58

Semidirect products G=N:Q with N=C₂×C₆ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁D₁₃ = C₃×C₁₃⋊D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₆	156	2	(C2xC6):1D13	312,31
(C₂×C₆)⋊₂D₁₃ = C₃₉⋊₇D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₆	156	2	(C2xC6):2D13	312,41
(C₂×C₆)⋊₃D₁₃ = C₂²×D₃₉	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₆	156		(C2xC6):3D13	312,60

Non-split extensions G=N.Q with N=C₂×C₆ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).D₁₃ = C₂×Dic₃₉	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂×C₆	312		(C2xC6).D13	312,40
(C₂×C₆).₂D₁₃ = C₆×Dic₁₃	central extension (φ=1)	312		(C2xC6).2D13	312,30

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=D13