Extensions 1→N→G→Q→1 with N=C₄xD₇ and Q=C₆

Direct product G=NxQ with N=C₄xD₇ and Q=C₆

		d	ρ	Label	ID
D₇xC₂xC₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=C₄xD₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₇):₁C₆ = D₄xF₇	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₇	28	12+	(C4xD7):1C6	336,125
(C₄xD₇):₂C₆ = D₄:₂F₇	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₇	56	12-	(C4xD7):2C6	336,126
(C₄xD₇):₃C₆ = Q₈:₃F₇	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₇	56	12+	(C4xD7):3C6	336,128
(C₄xD₇):₄C₆ = D₂₈:₆C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₇	56	6	(C4xD7):4C6	336,124
(C₄xD₇):₅C₆ = C₂xC₄xF₇	φ: C₆/C₂ → C₃ ⊆ Out C₄xD₇	56		(C4xD7):5C6	336,122
(C₄xD₇):₆C₆ = C₃xD₄xD₇	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₇	84	4	(C4xD7):6C6	336,178
(C₄xD₇):₇C₆ = C₃xD₄:₂D₇	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₇	168	4	(C4xD7):7C6	336,179
(C₄xD₇):₈C₆ = C₃xQ₈:₂D₇	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₇	168	4	(C4xD7):8C6	336,181
(C₄xD₇):₉C₆ = C₃xC₄oD₂₈	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₇	168	2	(C4xD7):9C6	336,177

Non-split extensions G=N.Q with N=C₄xD₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₇).₁C₆ = Q₈xF₇	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₇	56	12-	(C4xD7).1C6	336,127
(C₄xD₇).₂C₆ = C₈:F₇	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₇	56	6	(C4xD7).2C6	336,8
(C₄xD₇).₃C₆ = C₈xF₇	φ: C₆/C₂ → C₃ ⊆ Out C₄xD₇	56	6	(C4xD7).3C6	336,7
(C₄xD₇).₄C₆ = C₃xQ₈xD₇	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₇	168	4	(C4xD7).4C6	336,180
(C₄xD₇).₅C₆ = C₃xC₈:D₇	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₇	168	2	(C4xD7).5C6	336,59
(C₄xD₇).₆C₆ = D₇xC₂₄	φ: trivial image	168	2	(C4xD7).6C6	336,58

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