Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×C₇⋊C₃

Direct product G=N×Q with N=Q₈ and Q=C₂×C₇⋊C₃

		d	ρ	Label	ID
C₂×Q₈×C₇⋊C₃		112		C2xQ8xC7:C3	336,166

Semidirect products G=N:Q with N=Q₈ and Q=C₂×C₇⋊C₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₂×C₇⋊C₃) = C₂×C₁₄.A₄	φ: C₂×C₇⋊C₃/C₁₄ → C₃ ⊆ Out Q₈	112		Q8:(C2xC7:C3)	336,172
Q₈⋊₂(C₂×C₇⋊C₃) = SD₁₆×C₇⋊C₃	φ: C₂×C₇⋊C₃/C₇⋊C₃ → C₂ ⊆ Out Q₈	56	6	Q8:2(C2xC7:C3)	336,54
Q₈⋊₃(C₂×C₇⋊C₃) = C₄○D₄×C₇⋊C₃	φ: trivial image	56	6	Q8:3(C2xC7:C3)	336,167

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×C₇⋊C₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₂×C₇⋊C₃) = C₂₈.A₄	φ: C₂×C₇⋊C₃/C₁₄ → C₃ ⊆ Out Q₈	112	6	Q8.(C2xC7:C3)	336,173
Q₈.₂(C₂×C₇⋊C₃) = Q₁₆×C₇⋊C₃	φ: C₂×C₇⋊C₃/C₇⋊C₃ → C₂ ⊆ Out Q₈	112	6	Q8.2(C2xC7:C3)	336,55

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×C7⋊C3