Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₅:₂C₈

Direct product G=NxQ with N=C₄ and Q=C₂xC₅:₂C₈

		d	ρ	Label	ID
C₂xC₄xC₅:₂C₈		320		C2xC4xC5:2C8	320,547

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₅:₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₂xC₅:₂C₈) = D₄xC₅:₂C₈	φ: C₂xC₅:₂C₈/C₅:₂C₈ → C₂ ⊆ Aut C₄	160		C4:1(C2xC5:2C8)	320,637
C₄:₂(C₂xC₅:₂C₈) = C₂xC₂₀:₃C₈	φ: C₂xC₅:₂C₈/C₂xC₂₀ → C₂ ⊆ Aut C₄	320		C4:2(C2xC5:2C8)	320,550

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₅:₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₅:₂C₈) = C₂₀.₅₇D₈	φ: C₂xC₅:₂C₈/C₅:₂C₈ → C₂ ⊆ Aut C₄	160		C4.1(C2xC5:2C8)	320,92
C₄.₂(C₂xC₅:₂C₈) = C₂₀.₂₆Q₁₆	φ: C₂xC₅:₂C₈/C₅:₂C₈ → C₂ ⊆ Aut C₄	320		C4.2(C2xC5:2C8)	320,93
C₄.₃(C₂xC₅:₂C₈) = C₄₀.₉₂D₄	φ: C₂xC₅:₂C₈/C₅:₂C₈ → C₂ ⊆ Aut C₄	160	4	C4.3(C2xC5:2C8)	320,119
C₄.₄(C₂xC₅:₂C₈) = Q₈xC₅:₂C₈	φ: C₂xC₅:₂C₈/C₅:₂C₈ → C₂ ⊆ Aut C₄	320		C4.4(C2xC5:2C8)	320,650
C₄.₅(C₂xC₅:₂C₈) = C₄₀.₇₀C₂³	φ: C₂xC₅:₂C₈/C₅:₂C₈ → C₂ ⊆ Aut C₄	160	4	C4.5(C2xC5:2C8)	320,767
C₄.₆(C₂xC₅:₂C₈) = C₄₀:₆C₈	φ: C₂xC₅:₂C₈/C₂xC₂₀ → C₂ ⊆ Aut C₄	320		C4.6(C2xC5:2C8)	320,15
C₄.₇(C₂xC₅:₂C₈) = C₄₀:₅C₈	φ: C₂xC₅:₂C₈/C₂xC₂₀ → C₂ ⊆ Aut C₄	320		C4.7(C2xC5:2C8)	320,16
C₄.₈(C₂xC₅:₂C₈) = C₄₀.₇C₈	φ: C₂xC₅:₂C₈/C₂xC₂₀ → C₂ ⊆ Aut C₄	80	2	C4.8(C2xC5:2C8)	320,21
C₄.₉(C₂xC₅:₂C₈) = C₂xC₂₀.₄C₈	φ: C₂xC₅:₂C₈/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.9(C2xC5:2C8)	320,724
C₄.₁₀(C₂xC₅:₂C₈) = C₈xC₅:₂C₈	central extension (φ=1)	320		C4.10(C2xC5:2C8)	320,11
C₄.₁₁(C₂xC₅:₂C₈) = C₄₀:₈C₈	central extension (φ=1)	320		C4.11(C2xC5:2C8)	320,13
C₄.₁₂(C₂xC₅:₂C₈) = C₄xC₅:₂C₁₆	central extension (φ=1)	320		C4.12(C2xC5:2C8)	320,18
C₄.₁₃(C₂xC₅:₂C₈) = C₄₀.₁₀C₈	central extension (φ=1)	320		C4.13(C2xC5:2C8)	320,19
C₄.₁₄(C₂xC₅:₂C₈) = C₂xC₅:₂C₃₂	central extension (φ=1)	320		C4.14(C2xC5:2C8)	320,56
C₄.₁₅(C₂xC₅:₂C₈) = C₈₀.₉C₄	central extension (φ=1)	160	2	C4.15(C2xC5:2C8)	320,57
C₄.₁₆(C₂xC₅:₂C₈) = C₄².₆Dic₅	central extension (φ=1)	160		C4.16(C2xC5:2C8)	320,552
C₄.₁₇(C₂xC₅:₂C₈) = C₂²xC₅:₂C₁₆	central extension (φ=1)	320		C4.17(C2xC5:2C8)	320,723

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