Extensions 1→N→G→Q→1 with N=C₂×C₁₄ and Q=Q₈

Direct product G=N×Q with N=C₂×C₁₄ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₂×C₁₄		224		Q8xC2xC14	224,191

Semidirect products G=N:Q with N=C₂×C₁₄ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄)⋊Q₈ = C₂²⋊Dic₁₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₁₄	112		(C2xC14):Q8	224,73
(C₂×C₁₄)⋊₂Q₈ = C₇×C₂²⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14):2Q8	224,157
(C₂×C₁₄)⋊₃Q₈ = C₂₈.₄₈D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14):3Q8	224,119
(C₂×C₁₄)⋊₄Q₈ = C₂²×Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14):4Q8	224,174

Non-split extensions G=N.Q with N=C₂×C₁₄ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).Q₈ = C₂₈.₅₃D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₁₄	112	4	(C2xC14).Q8	224,28
(C₂×C₁₄).₂Q₈ = C₇×C₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	112	2	(C2xC14).2Q8	224,57
(C₂×C₁₄).₃Q₈ = C₅₆.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	112	2	(C2xC14).3Q8	224,25
(C₂×C₁₄).₄Q₈ = C₁₄.C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).4Q8	224,37
(C₂×C₁₄).₅Q₈ = C₂×Dic₇⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).5Q8	224,118
(C₂×C₁₄).₆Q₈ = C₂×C₄⋊Dic₇	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).6Q8	224,120
(C₂×C₁₄).₇Q₈ = C₇×C₂.C₄²	central extension (φ=1)	224		(C2xC14).7Q8	224,44
(C₂×C₁₄).₈Q₈ = C₁₄×C₄⋊C₄	central extension (φ=1)	224		(C2xC14).8Q8	224,151

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