Extensions 1→N→G→Q→1 with N=C₇₀ and Q=C₄

Direct product G=NxQ with N=C₇₀ and Q=C₄

		d	ρ	Label	ID
C₂xC₁₄₀		280		C2xC140	280,29

Semidirect products G=N:Q with N=C₇₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₀:₁C₄ = C₂xC₇:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₇₀	70	4	C70:1C4	280,35
C₇₀:₂C₄ = C₁₄xF₅	φ: C₄/C₁ → C₄ ⊆ Aut C₇₀	70	4	C70:2C4	280,34
C₇₀:₃C₄ = C₂xDic₃₅	φ: C₄/C₂ → C₂ ⊆ Aut C₇₀	280		C70:3C4	280,27
C₇₀:₄C₄ = C₁₀xDic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₇₀	280		C70:4C4	280,17
C₇₀:₅C₄ = C₁₄xDic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₇₀	280		C70:5C4	280,22

Non-split extensions G=N.Q with N=C₇₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₀.₁C₄ = C₃₅:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₇₀	280	4	C70.1C4	280,6
C₇₀.₂C₄ = C₇xC₅:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₇₀	280	4	C70.2C4	280,5
C₇₀.₃C₄ = C₃₅:₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇₀	280	2	C70.3C4	280,3
C₇₀.₄C₄ = C₅xC₇:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇₀	280	2	C70.4C4	280,2
C₇₀.₅C₄ = C₇xC₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇₀	280	2	C70.5C4	280,1

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