Extensions 1→N→G→Q→1 with N=C₂×F₇ and Q=C₂²

Direct product G=N×Q with N=C₂×F₇ and Q=C₂²

		d	ρ	Label	ID
C₂³×F₇		56		C2^3xF7	336,216

Semidirect products G=N:Q with N=C₂×F₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₇)⋊₁C₂² = C₂×C₄⋊F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₇	56		(C2xF7):1C2^2	336,123
(C₂×F₇)⋊₂C₂² = D₄×F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₇	28	12+	(C2xF7):2C2^2	336,125
(C₂×F₇)⋊₃C₂² = C₂×Dic₇⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₇	56		(C2xF7):3C2^2	336,130

Non-split extensions G=N.Q with N=C₂×F₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×F₇).₁C₂² = D₂₈⋊₆C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₇	56	6	(C2xF7).1C2^2	336,124
(C₂×F₇).₂C₂² = D₄⋊₂F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₇	56	12-	(C2xF7).2C2^2	336,126
(C₂×F₇).₃C₂² = Q₈⋊₃F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×F₇	56	12+	(C2xF7).3C2^2	336,128
(C₂×F₇).₄C₂² = C₂×C₄×F₇	φ: trivial image	56		(C2xF7).4C2^2	336,122
(C₂×F₇).₅C₂² = Q₈×F₇	φ: trivial image	56	12-	(C2xF7).5C2^2	336,127

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