Extensions 1→N→G→Q→1 with N=C₂xF₇ and Q=C₂²

Direct product G=NxQ with N=C₂xF₇ and Q=C₂²

		d	ρ	Label	ID
C₂³xF₇		56		C2^3xF7	336,216

Semidirect products G=N:Q with N=C₂xF₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xF₇):₁C₂² = C₂xC₄:F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂xF₇	56		(C2xF7):1C2^2	336,123
(C₂xF₇):₂C₂² = D₄xF₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂xF₇	28	12+	(C2xF7):2C2^2	336,125
(C₂xF₇):₃C₂² = C₂xDic₇:C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xF₇	56		(C2xF7):3C2^2	336,130

Non-split extensions G=N.Q with N=C₂xF₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xF₇).₁C₂² = D₂₈:₆C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xF₇	56	6	(C2xF7).1C2^2	336,124
(C₂xF₇).₂C₂² = D₄:₂F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂xF₇	56	12-	(C2xF7).2C2^2	336,126
(C₂xF₇).₃C₂² = Q₈:₃F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂xF₇	56	12+	(C2xF7).3C2^2	336,128
(C₂xF₇).₄C₂² = C₂xC₄xF₇	φ: trivial image	56		(C2xF7).4C2^2	336,122
(C₂xF₇).₅C₂² = Q₈xF₇	φ: trivial image	56	12-	(C2xF7).5C2^2	336,127

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