Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅×D₇

Direct product G=N×Q with N=C₆ and Q=C₅×D₇

		d	ρ	Label	ID
D₇×C₃₀		210	2	D7xC30	420,34

Semidirect products G=N:Q with N=C₆ and Q=C₅×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₅×D₇) = C₁₀×D₂₁	φ: C₅×D₇/C₃₅ → C₂ ⊆ Aut C₆	210	2	C6:(C5xD7)	420,38

Non-split extensions G=N.Q with N=C₆ and Q=C₅×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₅×D₇) = C₅×Dic₂₁	φ: C₅×D₇/C₃₅ → C₂ ⊆ Aut C₆	420	2	C6.(C5xD7)	420,9
C₆.₂(C₅×D₇) = C₁₅×Dic₇	central extension (φ=1)	420	2	C6.2(C5xD7)	420,5

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Extensions 1→N→G→Q→1 with N=C6 and Q=C5×D7