Extensions 1→N→G→Q→1 with N=C₄ and Q=C₈xD₅

Direct product G=NxQ with N=C₄ and Q=C₈xD₅

		d	ρ	Label	ID
D₅xC₄xC₈		160		D5xC4xC8	320,311

Semidirect products G=N:Q with N=C₄ and Q=C₈xD₅

extension	φ:Q→Aut N	d	Label	ID
C₄:₁(C₈xD₅) = D₂₀:₅C₈	φ: C₈xD₅/C₅:₂C₈ → C₂ ⊆ Aut C₄	160	C4:1(C8xD5)	320,461
C₄:₂(C₈xD₅) = C₈xD₂₀	φ: C₈xD₅/C₄₀ → C₂ ⊆ Aut C₄	160	C4:2(C8xD5)	320,313
C₄:₃(C₈xD₅) = D₅xC₄:C₈	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₄	160	C4:3(C8xD5)	320,459

Non-split extensions G=N.Q with N=C₄ and Q=C₈xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₈xD₅) = D₂₀:₄C₈	φ: C₈xD₅/C₅:₂C₈ → C₂ ⊆ Aut C₄	160		C4.1(C8xD5)	320,41
C₄.₂(C₈xD₅) = Dic₁₀:₄C₈	φ: C₈xD₅/C₅:₂C₈ → C₂ ⊆ Aut C₄	320		C4.2(C8xD5)	320,42
C₄.₃(C₈xD₅) = D₂₀.₄C₈	φ: C₈xD₅/C₅:₂C₈ → C₂ ⊆ Aut C₄	160	4	C4.3(C8xD5)	320,73
C₄.₄(C₈xD₅) = Dic₁₀:₅C₈	φ: C₈xD₅/C₅:₂C₈ → C₂ ⊆ Aut C₄	320		C4.4(C8xD5)	320,457
C₄.₅(C₈xD₅) = D₂₀.₅C₈	φ: C₈xD₅/C₅:₂C₈ → C₂ ⊆ Aut C₄	160	4	C4.5(C8xD5)	320,534
C₄.₆(C₈xD₅) = Dic₁₀:₃C₈	φ: C₈xD₅/C₄₀ → C₂ ⊆ Aut C₄	320		C4.6(C8xD5)	320,14
C₄.₇(C₈xD₅) = D₂₀:₃C₈	φ: C₈xD₅/C₄₀ → C₂ ⊆ Aut C₄	160		C4.7(C8xD5)	320,17
C₄.₈(C₈xD₅) = D₂₀.₃C₈	φ: C₈xD₅/C₄₀ → C₂ ⊆ Aut C₄	160	2	C4.8(C8xD5)	320,66
C₄.₉(C₈xD₅) = C₈xDic₁₀	φ: C₈xD₅/C₄₀ → C₂ ⊆ Aut C₄	320		C4.9(C8xD5)	320,305
C₄.₁₀(C₈xD₅) = D₂₀.₆C₈	φ: C₈xD₅/C₄₀ → C₂ ⊆ Aut C₄	160	2	C4.10(C8xD5)	320,528
C₄.₁₁(C₈xD₅) = C₂₀.₅₃D₈	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₄	320		C4.11(C8xD5)	320,37
C₄.₁₂(C₈xD₅) = C₂₀.₃₉SD₁₆	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₄	320		C4.12(C8xD5)	320,38
C₄.₁₃(C₈xD₅) = C₄₀.₉Q₈	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₄	80	4	C4.13(C8xD5)	320,69
C₄.₁₄(C₈xD₅) = C₄².₂₀₀D₁₀	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₄	160		C4.14(C8xD5)	320,460
C₄.₁₅(C₈xD₅) = D₅xM₅(2)	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₄	80	4	C4.15(C8xD5)	320,533
C₄.₁₆(C₈xD₅) = D₅xC₃₂	central extension (φ=1)	160	2	C4.16(C8xD5)	320,4
C₄.₁₇(C₈xD₅) = C₃₂:D₅	central extension (φ=1)	160	2	C4.17(C8xD5)	320,5
C₄.₁₈(C₈xD₅) = C₈xC₅:₂C₈	central extension (φ=1)	320		C4.18(C8xD5)	320,11
C₄.₁₉(C₈xD₅) = C₄².₂₇₉D₁₀	central extension (φ=1)	320		C4.19(C8xD5)	320,12
C₄.₂₀(C₈xD₅) = C₁₆xDic₅	central extension (φ=1)	320		C4.20(C8xD5)	320,58
C₄.₂₁(C₈xD₅) = C₈₀:₁₇C₄	central extension (φ=1)	320		C4.21(C8xD5)	320,60
C₄.₂₂(C₈xD₅) = C₄².₂₈₂D₁₀	central extension (φ=1)	160		C4.22(C8xD5)	320,312
C₄.₂₃(C₈xD₅) = D₅xC₂xC₁₆	central extension (φ=1)	160		C4.23(C8xD5)	320,526
C₄.₂₄(C₈xD₅) = C₂xC₈₀:C₂	central extension (φ=1)	160		C4.24(C8xD5)	320,527

Extensions 1→N→G→Q→1 with N=C4 and Q=C8xD5

Extensions 1→N→G→Q→1 with N=C₄ and Q=C₈xD₅