Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₂×C₁₀

Direct product G=N×Q with N=C₄○D₄ and Q=C₂×C₁₀

		d	ρ	Label	ID
C₄○D₄×C₂×C₁₀		160		C4oD4xC2xC10	320,1631

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁(C₂×C₁₀) = C₅×D₄○D₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out C₄○D₄	80	4	C4oD4:1(C2xC10)	320,1578
C₄○D₄⋊₂(C₂×C₁₀) = C₅×D₄○SD₁₆	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out C₄○D₄	80	4	C4oD4:2(C2xC10)	320,1579
C₄○D₄⋊₃(C₂×C₁₀) = C₁₀×C₄○D₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	160		C4oD4:3(C2xC10)	320,1574
C₄○D₄⋊₄(C₂×C₁₀) = C₁₀×C₈⋊C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80		C4oD4:4(C2xC10)	320,1575
C₄○D₄⋊₅(C₂×C₁₀) = C₅×D₈⋊C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4:5(C2xC10)	320,1577
C₄○D₄⋊₆(C₂×C₁₀) = C₁₀×2₊¹⁺⁴	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80		C4oD4:6(C2xC10)	320,1632
C₄○D₄⋊₇(C₂×C₁₀) = C₁₀×2_-¹⁺⁴	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	160		C4oD4:7(C2xC10)	320,1633
C₄○D₄⋊₈(C₂×C₁₀) = C₅×C₂.C₂⁵	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4:8(C2xC10)	320,1634

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁(C₂×C₁₀) = C₅×D₄⋊₄D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out C₄○D₄	40	4	C4oD4.1(C2xC10)	320,954
C₄○D₄.₂(C₂×C₁₀) = C₅×D₄.₈D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out C₄○D₄	80	4	C4oD4.2(C2xC10)	320,955
C₄○D₄.₃(C₂×C₁₀) = C₅×D₄.₉D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out C₄○D₄	80	4	C4oD4.3(C2xC10)	320,956
C₄○D₄.₄(C₂×C₁₀) = C₅×D₄.₁₀D₄	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out C₄○D₄	80	4	C4oD4.4(C2xC10)	320,957
C₄○D₄.₅(C₂×C₁₀) = C₅×Q₈○D₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out C₄○D₄	160	4	C4oD4.5(C2xC10)	320,1580
C₄○D₄.₆(C₂×C₁₀) = C₁₀×C₄≀C₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80		C4oD4.6(C2xC10)	320,921
C₄○D₄.₇(C₂×C₁₀) = C₅×C₄²⋊C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4.7(C2xC10)	320,922
C₄○D₄.₈(C₂×C₁₀) = C₅×C₈○D₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80	2	C4oD4.8(C2xC10)	320,944
C₄○D₄.₉(C₂×C₁₀) = C₅×C₈.₂₆D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4.9(C2xC10)	320,945
C₄○D₄.₁₀(C₂×C₁₀) = C₅×D₄.₃D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4.10(C2xC10)	320,972
C₄○D₄.₁₁(C₂×C₁₀) = C₅×D₄.₄D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4.11(C2xC10)	320,973
C₄○D₄.₁₂(C₂×C₁₀) = C₅×D₄.₅D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	160	4	C4oD4.12(C2xC10)	320,974
C₄○D₄.₁₃(C₂×C₁₀) = C₁₀×C₈.C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₄○D₄	160		C4oD4.13(C2xC10)	320,1576
C₄○D₄.₁₄(C₂×C₁₀) = C₁₀×C₈○D₄	φ: trivial image	160		C4oD4.14(C2xC10)	320,1569
C₄○D₄.₁₅(C₂×C₁₀) = C₅×Q₈○M₄(2)	φ: trivial image	80	4	C4oD4.15(C2xC10)	320,1570

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