Extensions 1→N→G→Q→1 with N=C₆ and Q=C₇×D₅

Direct product G=N×Q with N=C₆ and Q=C₇×D₅

		d	ρ	Label	ID
D₅×C₄₂		210	2	D5xC42	420,35

Semidirect products G=N:Q with N=C₆ and Q=C₇×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₇×D₅) = C₁₄×D₁₅	φ: C₇×D₅/C₃₅ → C₂ ⊆ Aut C₆	210	2	C6:(C7xD5)	420,39

Non-split extensions G=N.Q with N=C₆ and Q=C₇×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₇×D₅) = C₇×Dic₁₅	φ: C₇×D₅/C₃₅ → C₂ ⊆ Aut C₆	420	2	C6.(C7xD5)	420,10
C₆.₂(C₇×D₅) = Dic₅×C₂₁	central extension (φ=1)	420	2	C6.2(C7xD5)	420,6

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Extensions 1→N→G→Q→1 with N=C6 and Q=C7×D5