Extensions 1→N→G→Q→1 with N=C₂×C₁₄ and Q=D₇

Direct product G=N×Q with N=C₂×C₁₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₂×C₁₄		56		D7xC2xC14	392,42

Semidirect products G=N:Q with N=C₂×C₁₄ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄)⋊₁D₇ = C₇×C₇⋊D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₄	28	2	(C2xC14):1D7	392,27
(C₂×C₁₄)⋊₂D₇ = C₇²⋊₇D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₄	196		(C2xC14):2D7	392,32
(C₂×C₁₄)⋊₃D₇ = C₂²×C₇⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₄	196		(C2xC14):3D7	392,43

Non-split extensions G=N.Q with N=C₂×C₁₄ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).₁D₇ = C₂×Dic₄₉	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₄	392		(C2xC14).1D7	392,6
(C₂×C₁₄).₂D₇ = C₄₉⋊D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₄	196	2	(C2xC14).2D7	392,7
(C₂×C₁₄).₃D₇ = C₂²×D₄₉	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₄	196		(C2xC14).3D7	392,12
(C₂×C₁₄).₄D₇ = C₂×C₇⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₄	392		(C2xC14).4D7	392,31
(C₂×C₁₄).₅D₇ = C₁₄×Dic₇	central extension (φ=1)	56		(C2xC14).5D7	392,26

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