Extensions 1→N→G→Q→1 with N=C₇⋊C₁₂ and Q=C₂

Direct product G=N×Q with N=C₇⋊C₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₇⋊C₁₂		56		C2xC7:C12	168,10

Semidirect products G=N:Q with N=C₇⋊C₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₁₂⋊C₂ = Dic₇⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₁₂	28	6	C7:C12:C2	168,11
C₇⋊C₁₂⋊₂C₂ = C₄×F₇	φ: trivial image	28	6	C7:C12:2C2	168,8

Non-split extensions G=N.Q with N=C₇⋊C₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₁₂.C₂ = C₄.F₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₁₂	56	6-	C7:C12.C2	168,7

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Extensions 1→N→G→Q→1 with N=C7⋊C12 and Q=C2