Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₅:C₈

Direct product G=NxQ with N=C₂xC₄ and Q=C₅:C₈

		d	ρ	Label	ID
C₂xC₄xC₅:C₈		320		C2xC4xC5:C8	320,1084

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₅:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):(C₅:C₈) = (C₂xC₂₀):₁C₈	φ: C₅:C₈/C₁₀ → C₄ ⊆ Aut C₂xC₄	160		(C2xC4):(C5:C8)	320,251
(C₂xC₄):₂(C₅:C₈) = C₁₀.(C₄:C₈)	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₄	320		(C2xC4):2(C5:C8)	320,256
(C₂xC₄):₃(C₅:C₈) = C₂xC₂₀:C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₄	320		(C2xC4):3(C5:C8)	320,1085
(C₂xC₄):₄(C₅:C₈) = Dic₅.₁₂M₄(2)	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4):4(C5:C8)	320,1086

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₅:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).(C₅:C₈) = C₂₀.₂₉M₄(2)	φ: C₅:C₈/C₁₀ → C₄ ⊆ Aut C₂xC₄	80	4	(C2xC4).(C5:C8)	320,250
(C₂xC₄).₂(C₅:C₈) = C₄².₄F₅	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₄	320		(C2xC4).2(C5:C8)	320,197
(C₂xC₄).₃(C₅:C₈) = C₁₀.₆M₅(2)	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4).3(C5:C8)	320,249
(C₂xC₄).₄(C₅:C₈) = C₂₀:C₁₆	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₄	320		(C2xC4).4(C5:C8)	320,196
(C₂xC₄).₅(C₅:C₈) = C₅:M₆(2)	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₄	160	4	(C2xC4).5(C5:C8)	320,215
(C₂xC₄).₆(C₅:C₈) = C₂xC₂₀.C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4).6(C5:C8)	320,1081
(C₂xC₄).₇(C₅:C₈) = C₄xC₅:C₁₆	central extension (φ=1)	320		(C2xC4).7(C5:C8)	320,195
(C₂xC₄).₈(C₅:C₈) = C₂xC₅:C₃₂	central extension (φ=1)	320		(C2xC4).8(C5:C8)	320,214
(C₂xC₄).₉(C₅:C₈) = C₂²xC₅:C₁₆	central extension (φ=1)	320		(C2xC4).9(C5:C8)	320,1080

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