Extensions 1→N→G→Q→1 with N=C₂×C₁₄ and Q=C₈

Direct product G=N×Q with N=C₂×C₁₄ and Q=C₈

		d	ρ	Label	ID
C₂²×C₅₆		224		C2^2xC56	224,164

Semidirect products G=N:Q with N=C₂×C₁₄ and Q=C₈

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₁₄)⋊₁C₈ = C₇×C₂²⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	112	(C2xC14):1C8	224,47
(C₂×C₁₄)⋊₂C₈ = C₂₈.₅₅D₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	112	(C2xC14):2C8	224,36
(C₂×C₁₄)⋊₃C₈ = C₂²×C₇⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	224	(C2xC14):3C8	224,115

Non-split extensions G=N.Q with N=C₂×C₁₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).₁C₈ = C₇×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	112	2	(C2xC14).1C8	224,59
(C₂×C₁₄).₂C₈ = C₂×C₇⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).2C8	224,17
(C₂×C₁₄).₃C₈ = C₂₈.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₁₄	112	2	(C2xC14).3C8	224,18

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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=C8