Extensions 1→N→G→Q→1 with N=C₂×C₁₄ and Q=C₄

Direct product G=N×Q with N=C₂×C₁₄ and Q=C₄

		d	ρ	Label	ID
C₂²×C₂₈		112		C2^2xC28	112,37

Semidirect products G=N:Q with N=C₂×C₁₄ and Q=C₄

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₁₄)⋊₁C₄ = C₇×C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₄	56	(C2xC14):1C4	112,20
(C₂×C₁₄)⋊₂C₄ = C₂³.D₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₄	56	(C2xC14):2C4	112,18
(C₂×C₁₄)⋊₃C₄ = C₂²×Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₄	112	(C2xC14):3C4	112,35

Non-split extensions G=N.Q with N=C₂×C₁₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).₁C₄ = C₇×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₄	56	2	(C2xC14).1C4	112,23
(C₂×C₁₄).₂C₄ = C₂×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14).2C4	112,8
(C₂×C₁₄).₃C₄ = C₄.Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₄	56	2	(C2xC14).3C4	112,9

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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=C4