Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅×D₇

Direct product G=N×Q with N=C₄ and Q=C₅×D₇

		d	ρ	Label	ID
D₇×C₂₀		140	2	D7xC20	280,15

Semidirect products G=N:Q with N=C₄ and Q=C₅×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅×D₇) = C₅×D₂₈	φ: C₅×D₇/C₃₅ → C₂ ⊆ Aut C₄	140	2	C4:(C5xD7)	280,16

Non-split extensions G=N.Q with N=C₄ and Q=C₅×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅×D₇) = C₅×Dic₁₄	φ: C₅×D₇/C₃₅ → C₂ ⊆ Aut C₄	280	2	C4.(C5xD7)	280,14
C₄.₂(C₅×D₇) = C₅×C₇⋊C₈	central extension (φ=1)	280	2	C4.2(C5xD7)	280,2

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5×D7