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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₃⋊(C₂×C₆) = C₂²×C₁₃⋊C₆	φ: C₂×C₆/C₂² → C₃ ⊆ Out D₁₃	52		D13:(C2xC6)	312,49

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₃.(C₂×C₆) = C₂×F₁₃	φ: C₂×C₆/C₂ → C₆ ⊆ Out D₁₃	26	12+	D13.(C2xC6)	312,45
D₁₃.₂(C₂×C₆) = C₆×C₁₃⋊C₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₁₃	78	4	D13.2(C2xC6)	312,52

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