Extensions 1→N→G→Q→1 with N=C₇×C₁₄ and Q=C₄

Direct product G=N×Q with N=C₇×C₁₄ and Q=C₄

		d	ρ	Label	ID
C₁₄×C₂₈		392		C14xC28	392,33

Semidirect products G=N:Q with N=C₇×C₁₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇×C₁₄)⋊C₄ = C₂×C₇²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₇×C₁₄	28	4+	(C7xC14):C4	392,40
(C₇×C₁₄)⋊₂C₄ = C₁₄×Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₇×C₁₄	56		(C7xC14):2C4	392,26
(C₇×C₁₄)⋊₃C₄ = C₂×C₇⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₇×C₁₄	392		(C7xC14):3C4	392,31

Non-split extensions G=N.Q with N=C₇×C₁₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇×C₁₄).C₄ = C₇²⋊₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₇×C₁₄	56	4-	(C7xC14).C4	392,17
(C₇×C₁₄).₂C₄ = C₇×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇×C₁₄	56	2	(C7xC14).2C4	392,14
(C₇×C₁₄).₃C₄ = C₇²⋊₄C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇×C₁₄	392		(C7xC14).3C4	392,15

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Extensions 1→N→G→Q→1 with N=C7×C14 and Q=C4