Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₅:C₈

Direct product G=NxQ with N=C₄ and Q=C₂xC₅:C₈

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

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₅:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₂xC₅:C₈) = D₄xC₅:C₈	φ: C₂xC₅:C₈/C₅:C₈ → C₂ ⊆ Aut C₄	160		C4:1(C2xC5:C8)	320,1110
C₄:₂(C₂xC₅:C₈) = C₂xC₂₀:C₈	φ: C₂xC₅:C₈/C₂xDic₅ → C₂ ⊆ Aut C₄	320		C4:2(C2xC5:C8)	320,1085

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₅:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₅:C₈) = Dic₅.₂₃D₈	φ: C₂xC₅:C₈/C₅:C₈ → C₂ ⊆ Aut C₄	160		C4.1(C2xC5:C8)	320,262
C₄.₂(C₂xC₅:C₈) = Dic₅.₁₂Q₁₆	φ: C₂xC₅:C₈/C₅:C₈ → C₂ ⊆ Aut C₄	320		C4.2(C2xC5:C8)	320,268
C₄.₃(C₂xC₅:C₈) = D₄.(C₅:C₈)	φ: C₂xC₅:C₈/C₅:C₈ → C₂ ⊆ Aut C₄	160	8	C4.3(C2xC5:C8)	320,270
C₄.₄(C₂xC₅:C₈) = Q₈xC₅:C₈	φ: C₂xC₅:C₈/C₅:C₈ → C₂ ⊆ Aut C₄	320		C4.4(C2xC5:C8)	320,1124
C₄.₅(C₂xC₅:C₈) = C₅:C₁₆.C₂²	φ: C₂xC₅:C₈/C₅:C₈ → C₂ ⊆ Aut C₄	160	8	C4.5(C2xC5:C8)	320,1129
C₄.₆(C₂xC₅:C₈) = C₄₀:₂C₈	φ: C₂xC₅:C₈/C₂xDic₅ → C₂ ⊆ Aut C₄	320		C4.6(C2xC5:C8)	320,219
C₄.₇(C₂xC₅:C₈) = C₄₀:₁C₈	φ: C₂xC₅:C₈/C₂xDic₅ → C₂ ⊆ Aut C₄	320		C4.7(C2xC5:C8)	320,220
C₄.₈(C₂xC₅:C₈) = C₄₀.₁C₈	φ: C₂xC₅:C₈/C₂xDic₅ → C₂ ⊆ Aut C₄	80	4	C4.8(C2xC5:C8)	320,227
C₄.₉(C₂xC₅:C₈) = C₂xC₂₀.C₈	φ: C₂xC₅:C₈/C₂xDic₅ → C₂ ⊆ Aut C₄	160		C4.9(C2xC5:C8)	320,1081
C₄.₁₀(C₂xC₅:C₈) = C₂xC₅:C₃₂	central extension (φ=1)	320		C4.10(C2xC5:C8)	320,214
C₄.₁₁(C₂xC₅:C₈) = C₅:M₆(2)	central extension (φ=1)	160	4	C4.11(C2xC5:C8)	320,215
C₄.₁₂(C₂xC₅:C₈) = C₈xC₅:C₈	central extension (φ=1)	320		C4.12(C2xC5:C8)	320,216
C₄.₁₃(C₂xC₅:C₈) = C₄₀:C₈	central extension (φ=1)	320		C4.13(C2xC5:C8)	320,217
C₄.₁₄(C₂xC₅:C₈) = Dic₅:C₁₆	central extension (φ=1)	320		C4.14(C2xC5:C8)	320,223
C₄.₁₅(C₂xC₅:C₈) = C₄₀.C₈	central extension (φ=1)	320		C4.15(C2xC5:C8)	320,224
C₄.₁₆(C₂xC₅:C₈) = C₂²xC₅:C₁₆	central extension (φ=1)	320		C4.16(C2xC5:C8)	320,1080
C₄.₁₇(C₂xC₅:C₈) = Dic₅.₁₂M₄(2)	central extension (φ=1)	160		C4.17(C2xC5:C8)	320,1086

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