Extensions 1→N→G→Q→1 with N=D₅×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=D₅×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₅×C₄○D₄		80		C2xD5xC4oD4	320,1618

Semidirect products G=N:Q with N=D₅×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₄○D₄)⋊₁C₂ = D₅×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	4	(D5xC4oD4):1C2	320,1439
(D₅×C₄○D₄)⋊₂C₂ = Q₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	4	(D5xC4oD4):2C2	320,1440
(D₅×C₄○D₄)⋊₃C₂ = D₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	40	8+	(D5xC4oD4):3C2	320,1444
(D₅×C₄○D₄)⋊₄C₂ = SD₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	8-	(D5xC4oD4):4C2	320,1445
(D₅×C₄○D₄)⋊₅C₂ = D₄₀⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	8+	(D5xC4oD4):5C2	320,1449
(D₅×C₄○D₄)⋊₆C₂ = C₁₀.C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	4	(D5xC4oD4):6C2	320,1621
(D₅×C₄○D₄)⋊₇C₂ = D₅×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	40	8+	(D5xC4oD4):7C2	320,1622
(D₅×C₄○D₄)⋊₈C₂ = D₂₀.₃₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	8-	(D5xC4oD4):8C2	320,1623
(D₅×C₄○D₄)⋊₉C₂ = D₅×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	8-	(D5xC4oD4):9C2	320,1624
(D₅×C₄○D₄)⋊₁₀C₂ = D₂₀.₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	8+	(D5xC4oD4):10C2	320,1625

Non-split extensions G=N.Q with N=D₅×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₄○D₄).₁C₂ = D₅×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	40	4	(D5xC4oD4).1C2	320,447
(D₅×C₄○D₄).₂C₂ = C₄²⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	4	(D5xC4oD4).2C2	320,448
(D₅×C₄○D₄).₃C₂ = C₂₀.₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	4	(D5xC4oD4).3C2	320,1422
(D₅×C₄○D₄).₄C₂ = D₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	8-	(D5xC4oD4).4C2	320,1448
(D₅×C₄○D₄).₅C₂ = D₅⋊C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	40	8	(D5xC4oD4).5C2	320,1130
(D₅×C₄○D₄).₆C₂ = C₄○D₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	40	8	(D5xC4oD4).6C2	320,1131
(D₅×C₄○D₄).₇C₂ = C₄○D₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	8	(D5xC4oD4).7C2	320,1132
(D₅×C₄○D₄).₈C₂ = D₄⋊F₅⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	8	(D5xC4oD4).8C2	320,1133
(D₅×C₄○D₄).₉C₂ = Dic₅.₂₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	8	(D5xC4oD4).9C2	320,1601
(D₅×C₄○D₄).₁₀C₂ = Dic₅.₂₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	80	8	(D5xC4oD4).10C2	320,1602
(D₅×C₄○D₄).₁₁C₂ = C₄○D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	40	8	(D5xC4oD4).11C2	320,1603
(D₅×C₄○D₄).₁₂C₂ = D₅.2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄○D₄	40	8	(D5xC4oD4).12C2	320,1604
(D₅×C₄○D₄).₁₃C₂ = D₅×C₈○D₄	φ: trivial image	80	4	(D5xC4oD4).13C2	320,1421

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