Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₅:C₈

Direct product G=NxQ with N=C₂xC₆ and Q=C₅:C₈

		d	ρ	Label	ID
C₂xC₆xC₅:C₈		480		C2xC6xC5:C8	480,1057

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₅:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁(C₅:C₈) = C₃xC₂³.₂F₅	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6):1(C5:C8)	480,292
(C₂xC₆):₂(C₅:C₈) = C₃₀.₂₂M₄(2)	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6):2(C5:C8)	480,317
(C₂xC₆):₃(C₅:C₈) = C₂²xC₁₅:C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6):3(C5:C8)	480,1070

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₅:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁(C₅:C₈) = C₃xC₂₀.C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₆	240	4	(C2xC6).1(C5:C8)	480,278
(C₂xC₆).₂(C₅:C₈) = C₂xC₁₅:C₁₆	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₆	480		(C2xC6).2(C5:C8)	480,302
(C₂xC₆).₃(C₅:C₈) = C₆₀.C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₆	240	4	(C2xC6).3(C5:C8)	480,303
(C₂xC₆).₄(C₅:C₈) = C₆xC₅:C₁₆	central extension (φ=1)	480		(C2xC6).4(C5:C8)	480,277

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