Extensions 1→N→G→Q→1 with N=C₇ and Q=C₆xD₅

Direct product G=NxQ with N=C₇ and Q=C₆xD₅

		d	ρ	Label	ID
D₅xC₄₂		210	2	D5xC42	420,35

Semidirect products G=N:Q with N=C₇ and Q=C₆xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁(C₆xD₅) = D₅xF₇	φ: C₆xD₅/D₅ → C₆ ⊆ Aut C₇	35	12+	C7:1(C6xD5)	420,16
C₇:₂(C₆xD₅) = C₂xC₅:F₇	φ: C₆xD₅/C₁₀ → C₆ ⊆ Aut C₇	70	6+	C7:2(C6xD5)	420,19
C₇:₃(C₆xD₅) = C₂xD₅xC₇:C₃	φ: C₆xD₅/D₁₀ → C₃ ⊆ Aut C₇	70	6	C7:3(C6xD5)	420,18
C₇:₄(C₆xD₅) = C₃xD₅xD₇	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₇	105	4	C7:4(C6xD5)	420,24
C₇:₅(C₆xD₅) = C₆xD₃₅	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₇	210	2	C7:5(C6xD5)	420,36

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