Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=C₁₂

Direct product G=N×Q with N=C₂×C₁₀ and Q=C₁₂

		d	ρ	Label	ID
C₂²×C₆₀		240		C2^2xC60	240,185

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊C₁₂ = A₄×F₅	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₂×C₁₀	20	12+	(C2xC10):C12	240,193
(C₂×C₁₀)⋊₂C₁₂ = A₄×Dic₅	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂×C₁₀	60	6-	(C2xC10):2C12	240,110
(C₂×C₁₀)⋊₃C₁₂ = C₃×C₂²⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂×C₁₀	60	4	(C2xC10):3C12	240,117
(C₂×C₁₀)⋊₄C₁₂ = C₂×C₆×F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂×C₁₀	60		(C2xC10):4C12	240,200
(C₂×C₁₀)⋊₅C₁₂ = A₄×C₂₀	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂×C₁₀	60	3	(C2xC10):5C12	240,152
(C₂×C₁₀)⋊₆C₁₂ = C₁₅×C₂²⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₁₀	120		(C2xC10):6C12	240,82
(C₂×C₁₀)⋊₇C₁₂ = C₃×C₂³.D₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₁₀	120		(C2xC10):7C12	240,48
(C₂×C₁₀)⋊₈C₁₂ = C₂×C₆×Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10):8C12	240,163

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁C₁₂ = C₆×C₅⋊C₈	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂×C₁₀	240		(C2xC10).1C12	240,115
(C₂×C₁₀).₂C₁₂ = C₃×C₂².F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂×C₁₀	120	4	(C2xC10).2C12	240,116
(C₂×C₁₀).₃C₁₂ = C₁₅×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₁₀	120	2	(C2xC10).3C12	240,85
(C₂×C₁₀).₄C₁₂ = C₆×C₅⋊₂C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10).4C12	240,38
(C₂×C₁₀).₅C₁₂ = C₃×C₄.Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₁₀	120	2	(C2xC10).5C12	240,39

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