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

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

		d	ρ	Label	ID
C₂×C₁₄₀		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 = C₂×C₇⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₇₀	70	4	C70:1C4	280,35
C₇₀⋊₂C₄ = C₁₄×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₇₀	70	4	C70:2C4	280,34
C₇₀⋊₃C₄ = C₂×Dic₃₅	φ: C₄/C₂ → C₂ ⊆ Aut C₇₀	280		C70:3C4	280,27
C₇₀⋊₄C₄ = C₁₀×Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₇₀	280		C70:4C4	280,17
C₇₀⋊₅C₄ = C₁₄×Dic₅	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 = C₇×C₅⋊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 = C₅×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇₀	280	2	C70.4C4	280,2
C₇₀.₅C₄ = C₇×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇₀	280	2	C70.5C4	280,1

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