Extensions 1→N→G→Q→1 with N=C₄ and Q=C₈×D₅

Direct product G=N×Q with N=C₄ and Q=C₈×D₅

		d	ρ	Label	ID
D₅×C₄×C₈		160		D5xC4xC8	320,311

Semidirect products G=N:Q with N=C₄ and Q=C₈×D₅

extension	φ:Q→Aut N	d	Label	ID
C₄⋊₁(C₈×D₅) = D₂₀⋊₅C₈	φ: C₈×D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	160	C4:1(C8xD5)	320,461
C₄⋊₂(C₈×D₅) = C₈×D₂₀	φ: C₈×D₅/C₄₀ → C₂ ⊆ Aut C₄	160	C4:2(C8xD5)	320,313
C₄⋊₃(C₈×D₅) = D₅×C₄⋊C₈	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160	C4:3(C8xD5)	320,459

Non-split extensions G=N.Q with N=C₄ and Q=C₈×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₈×D₅) = D₂₀⋊₄C₈	φ: C₈×D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	160		C4.1(C8xD5)	320,41
C₄.₂(C₈×D₅) = Dic₁₀⋊₄C₈	φ: C₈×D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	320		C4.2(C8xD5)	320,42
C₄.₃(C₈×D₅) = D₂₀.₄C₈	φ: C₈×D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	160	4	C4.3(C8xD5)	320,73
C₄.₄(C₈×D₅) = Dic₁₀⋊₅C₈	φ: C₈×D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	320		C4.4(C8xD5)	320,457
C₄.₅(C₈×D₅) = D₂₀.₅C₈	φ: C₈×D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	160	4	C4.5(C8xD5)	320,534
C₄.₆(C₈×D₅) = Dic₁₀⋊₃C₈	φ: C₈×D₅/C₄₀ → C₂ ⊆ Aut C₄	320		C4.6(C8xD5)	320,14
C₄.₇(C₈×D₅) = D₂₀⋊₃C₈	φ: C₈×D₅/C₄₀ → C₂ ⊆ Aut C₄	160		C4.7(C8xD5)	320,17
C₄.₈(C₈×D₅) = D₂₀.₃C₈	φ: C₈×D₅/C₄₀ → C₂ ⊆ Aut C₄	160	2	C4.8(C8xD5)	320,66
C₄.₉(C₈×D₅) = C₈×Dic₁₀	φ: C₈×D₅/C₄₀ → C₂ ⊆ Aut C₄	320		C4.9(C8xD5)	320,305
C₄.₁₀(C₈×D₅) = D₂₀.₆C₈	φ: C₈×D₅/C₄₀ → C₂ ⊆ Aut C₄	160	2	C4.10(C8xD5)	320,528
C₄.₁₁(C₈×D₅) = C₂₀.₅₃D₈	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320		C4.11(C8xD5)	320,37
C₄.₁₂(C₈×D₅) = C₂₀.₃₉SD₁₆	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320		C4.12(C8xD5)	320,38
C₄.₁₃(C₈×D₅) = C₄₀.₉Q₈	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	80	4	C4.13(C8xD5)	320,69
C₄.₁₄(C₈×D₅) = C₄².₂₀₀D₁₀	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160		C4.14(C8xD5)	320,460
C₄.₁₅(C₈×D₅) = D₅×M₅(2)	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₄	80	4	C4.15(C8xD5)	320,533
C₄.₁₆(C₈×D₅) = D₅×C₃₂	central extension (φ=1)	160	2	C4.16(C8xD5)	320,4
C₄.₁₇(C₈×D₅) = C₃₂⋊D₅	central extension (φ=1)	160	2	C4.17(C8xD5)	320,5
C₄.₁₈(C₈×D₅) = C₈×C₅⋊₂C₈	central extension (φ=1)	320		C4.18(C8xD5)	320,11
C₄.₁₉(C₈×D₅) = C₄².₂₇₉D₁₀	central extension (φ=1)	320		C4.19(C8xD5)	320,12
C₄.₂₀(C₈×D₅) = C₁₆×Dic₅	central extension (φ=1)	320		C4.20(C8xD5)	320,58
C₄.₂₁(C₈×D₅) = C₈₀⋊₁₇C₄	central extension (φ=1)	320		C4.21(C8xD5)	320,60
C₄.₂₂(C₈×D₅) = C₄².₂₈₂D₁₀	central extension (φ=1)	160		C4.22(C8xD5)	320,312
C₄.₂₃(C₈×D₅) = D₅×C₂×C₁₆	central extension (φ=1)	160		C4.23(C8xD5)	320,526
C₄.₂₄(C₈×D₅) = C₂×C₈₀⋊C₂	central extension (φ=1)	160		C4.24(C8xD5)	320,527

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Extensions 1→N→G→Q→1 with N=C4 and Q=C8×D5

Extensions 1→N→G→Q→1 with N=C₄ and Q=C₈×D₅