Extensions 1→N→G→Q→1 with N=C₄ and Q=C₇×D₅

Direct product G=N×Q with N=C₄ and Q=C₇×D₅

		d	ρ	Label	ID
D₅×C₂₈		140	2	D5xC28	280,20

Semidirect products G=N:Q with N=C₄ and Q=C₇×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₇×D₅) = C₇×D₂₀	φ: C₇×D₅/C₃₅ → C₂ ⊆ Aut C₄	140	2	C4:(C7xD5)	280,21

Non-split extensions G=N.Q with N=C₄ and Q=C₇×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₇×D₅) = C₇×Dic₁₀	φ: C₇×D₅/C₃₅ → C₂ ⊆ Aut C₄	280	2	C4.(C7xD5)	280,19
C₄.₂(C₇×D₅) = C₇×C₅⋊₂C₈	central extension (φ=1)	280	2	C4.2(C7xD5)	280,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=C7×D5