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

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

		d	ρ	Label	ID
D₄×C₂×C₂₀		160		D4xC2xC20	320,1517

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₀)⋊₁C₄ = D₁₀.SD₁₆	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80		(D4xC10):1C4	320,258
(D₄×C₁₀)⋊₂C₄ = (C₂×D₄)⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	40	8+	(D4xC10):2C4	320,260
(D₄×C₁₀)⋊₃C₄ = (C₂×D₄)⋊₇F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	40	8+	(D4xC10):3C4	320,1108
(D₄×C₁₀)⋊₄C₄ = (C₂×F₅)⋊D₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	40		(D4xC10):4C4	320,1117
(D₄×C₁₀)⋊₅C₄ = C₂×D₂₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80		(D4xC10):5C4	320,1104
(D₄×C₁₀)⋊₆C₄ = (D₄×C₁₀)⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	40	8+	(D4xC10):6C4	320,1105
(D₄×C₁₀)⋊₇C₄ = C₂×D₄⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80		(D4xC10):7C4	320,1106
(D₄×C₁₀)⋊₈C₄ = (C₂×D₄)⋊₆F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80	8-	(D4xC10):8C4	320,1107
(D₄×C₁₀)⋊₉C₄ = (C₂×D₄)⋊₈F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80	8-	(D4xC10):9C4	320,1109
(D₄×C₁₀)⋊₁₀C₄ = C₂.(D₄×F₅)	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80		(D4xC10):10C4	320,1118
(D₄×C₁₀)⋊₁₁C₄ = C₂×D₄×F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	40		(D4xC10):11C4	320,1595
(D₄×C₁₀)⋊₁₂C₄ = D₁₀.C₂⁴	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	40	8+	(D4xC10):12C4	320,1596
(D₄×C₁₀)⋊₁₃C₄ = C₄⋊C₄⋊Dic₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80		(D4xC10):13C4	320,95
(D₄×C₁₀)⋊₁₄C₄ = C₄²⋊₃Dic₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	40	4	(D4xC10):14C4	320,103
(D₄×C₁₀)⋊₁₅C₄ = C₅×C₂².SD₁₆	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80		(D4xC10):15C4	320,132
(D₄×C₁₀)⋊₁₆C₄ = C₅×C₄²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	40	4	(D4xC10):16C4	320,158
(D₄×C₁₀)⋊₁₇C₄ = C₂×D₄⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10):17C4	320,841
(D₄×C₁₀)⋊₁₈C₄ = (D₄×C₁₀)⋊₁₈C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):18C4	320,842
(D₄×C₁₀)⋊₁₉C₄ = C₂⁴.₁₉D₁₀	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10):19C4	320,848
(D₄×C₁₀)⋊₂₀C₄ = C₂×D₄⋊₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):20C4	320,862
(D₄×C₁₀)⋊₂₁C₄ = (D₄×C₁₀)⋊₂₁C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80	4	(D4xC10):21C4	320,863
(D₄×C₁₀)⋊₂₂C₄ = (D₄×C₁₀)⋊₂₂C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80	4	(D4xC10):22C4	320,867
(D₄×C₁₀)⋊₂₃C₄ = C₂×D₄×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10):23C4	320,1467
(D₄×C₁₀)⋊₂₄C₄ = C₂⁴.₃₈D₁₀	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):24C4	320,1470
(D₄×C₁₀)⋊₂₅C₄ = C₂×C₂³⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):25C4	320,846
(D₄×C₁₀)⋊₂₆C₄ = C₂⁴.₁₈D₁₀	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10):26C4	320,847
(D₄×C₁₀)⋊₂₇C₄ = C₅×C₂³.₂₃D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10):27C4	320,887
(D₄×C₁₀)⋊₂₈C₄ = C₅×C₂⁴.₃C₂²	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10):28C4	320,891
(D₄×C₁₀)⋊₂₉C₄ = C₁₀×C₂³⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):29C4	320,910
(D₄×C₁₀)⋊₃₀C₄ = C₅×C₂³.C₂³	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80	4	(D4xC10):30C4	320,911
(D₄×C₁₀)⋊₃₁C₄ = C₁₀×D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10):31C4	320,915
(D₄×C₁₀)⋊₃₂C₄ = C₅×C₂³.₃₇D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):32C4	320,919
(D₄×C₁₀)⋊₃₃C₄ = C₁₀×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):33C4	320,921
(D₄×C₁₀)⋊₃₄C₄ = C₅×C₄²⋊C₂²	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80	4	(D4xC10):34C4	320,922
(D₄×C₁₀)⋊₃₅C₄ = C₅×C₂².₁₁C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):35C4	320,1520

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₀).₁C₄ = (C₂×D₄).F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).1C4	320,259
(D₄×C₁₀).₂C₄ = (D₄×C₁₀).C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80	8-	(D4xC10).2C4	320,261
(D₄×C₁₀).₃C₄ = Dic₅.SD₁₆	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).3C4	320,263
(D₄×C₁₀).₄C₄ = C₅⋊C₈⋊₇D₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).4C4	320,1111
(D₄×C₁₀).₅C₄ = (C₂×D₄).₇F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).5C4	320,1113
(D₄×C₁₀).₆C₄ = (C₂×D₄).₉F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80	8-	(D4xC10).6C4	320,1115
(D₄×C₁₀).₇C₄ = Dic₅.₂₃D₈	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).7C4	320,262
(D₄×C₁₀).₈C₄ = D₄×C₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).8C4	320,1110
(D₄×C₁₀).₉C₄ = C₂₀⋊₂M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).9C4	320,1112
(D₄×C₁₀).₁₀C₄ = (C₂×D₄).₈F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).10C4	320,1114
(D₄×C₁₀).₁₁C₄ = D₅⋊(C₄.D₄)	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	40	8+	(D4xC10).11C4	320,1116
(D₄×C₁₀).₁₂C₄ = C₂×D₄.F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).12C4	320,1593
(D₄×C₁₀).₁₃C₄ = Dic₅.C₂⁴	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80	8-	(D4xC10).13C4	320,1594
(D₄×C₁₀).₁₄C₄ = C₄².₇D₁₀	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).14C4	320,98
(D₄×C₁₀).₁₅C₄ = C₄².Dic₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80	4	(D4xC10).15C4	320,100
(D₄×C₁₀).₁₆C₄ = C₂₀.₉D₈	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).16C4	320,102
(D₄×C₁₀).₁₇C₄ = C₅×C₄².C₂²	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).17C4	320,134
(D₄×C₁₀).₁₈C₄ = C₅×C₄.D₈	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	160		(D4xC10).18C4	320,136
(D₄×C₁₀).₁₉C₄ = C₅×C₄².C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₀	80	4	(D4xC10).19C4	320,160
(D₄×C₁₀).₂₀C₄ = C₂₀.₅₇D₈	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10).20C4	320,92
(D₄×C₁₀).₂₁C₄ = D₄×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10).21C4	320,637
(D₄×C₁₀).₂₂C₄ = C₂₀⋊₇M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10).22C4	320,639
(D₄×C₁₀).₂₃C₄ = C₂×C₂₀.D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).23C4	320,843
(D₄×C₁₀).₂₄C₄ = (D₄×C₁₀).₂₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10).24C4	320,861
(D₄×C₁₀).₂₅C₄ = C₂×D₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10).25C4	320,1490
(D₄×C₁₀).₂₆C₄ = C₂₀.₇₆C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80	4	(D4xC10).26C4	320,1491
(D₄×C₁₀).₂₇C₄ = C₅×D₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10).27C4	320,130
(D₄×C₁₀).₂₈C₄ = C₄².₄₇D₁₀	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10).28C4	320,638
(D₄×C₁₀).₂₉C₄ = (D₄×C₁₀).₂₉C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80	4	(D4xC10).29C4	320,864
(D₄×C₁₀).₃₀C₄ = C₅×(C₂²×C₈)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10).30C4	320,909
(D₄×C₁₀).₃₁C₄ = C₁₀×C₄.D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).31C4	320,912
(D₄×C₁₀).₃₂C₄ = C₅×M₄(2).₈C₂²	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80	4	(D4xC10).32C4	320,914
(D₄×C₁₀).₃₃C₄ = C₅×C₈⋊₉D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10).33C4	320,936
(D₄×C₁₀).₃₄C₄ = C₅×C₈⋊₆D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	160		(D4xC10).34C4	320,937
(D₄×C₁₀).₃₅C₄ = C₅×Q₈○M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₀	80	4	(D4xC10).35C4	320,1570
(D₄×C₁₀).₃₆C₄ = D₄×C₄₀	φ: trivial image	160		(D4xC10).36C4	320,935
(D₄×C₁₀).₃₇C₄ = C₁₀×C₈○D₄	φ: trivial image	160		(D4xC10).37C4	320,1569

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

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