Extensions 1→N→G→Q→1 with N=C₂×F₇ and Q=C₄

Direct product G=N×Q with N=C₂×F₇ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×F₇		56		C2xC4xF7	336,122

Semidirect products G=N:Q with N=C₂×F₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₇)⋊C₄ = D₁₄⋊C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×F₇	56		(C2xF7):C4	336,17

Non-split extensions G=N.Q with N=C₂×F₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₇).C₄ = C₈⋊F₇	φ: C₄/C₂ → C₂ ⊆ Out C₂×F₇	56	6	(C2xF7).C4	336,8
(C₂×F₇).₂C₄ = C₈×F₇	φ: trivial image	56	6	(C2xF7).2C4	336,7

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Extensions 1→N→G→Q→1 with N=C2×F7 and Q=C4