Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂×C₁₄

Direct product G=N×Q with N=C₁₀ and Q=C₂×C₁₄

		d	ρ	Label	ID
C₂²×C₇₀		280		C2^2xC70	280,40

Semidirect products G=N:Q with N=C₁₀ and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₂×C₁₄) = D₅×C₂×C₁₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₀	140		C10:(C2xC14)	280,38

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₂×C₁₄) = C₇×Dic₁₀	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₀	280	2	C10.1(C2xC14)	280,19
C₁₀.₂(C₂×C₁₄) = D₅×C₂₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₀	140	2	C10.2(C2xC14)	280,20
C₁₀.₃(C₂×C₁₄) = C₇×D₂₀	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₀	140	2	C10.3(C2xC14)	280,21
C₁₀.₄(C₂×C₁₄) = C₁₄×Dic₅	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₀	280		C10.4(C2xC14)	280,22
C₁₀.₅(C₂×C₁₄) = C₇×C₅⋊D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₀	140	2	C10.5(C2xC14)	280,23
C₁₀.₆(C₂×C₁₄) = D₄×C₃₅	central extension (φ=1)	140	2	C10.6(C2xC14)	280,30
C₁₀.₇(C₂×C₁₄) = Q₈×C₃₅	central extension (φ=1)	280	2	C10.7(C2xC14)	280,31

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