Extensions 1→N→G→Q→1 with N=Q₈×C₁₀ and Q=C₄

Direct product G=N×Q with N=Q₈×C₁₀ and Q=C₄

		d	ρ	Label	ID
Q₈×C₂×C₂₀		320		Q8xC2xC20	320,1518

Semidirect products G=N:Q with N=Q₈×C₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₀)⋊₁C₄ = D₁₀.Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80		(Q8xC10):1C4	320,264
(Q₈×C₁₀)⋊₂C₄ = (C₂×Q₈)⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	8+	(Q8xC10):2C4	320,266
(Q₈×C₁₀)⋊₃C₄ = C₂×Q₈⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80		(Q8xC10):3C4	320,1119
(Q₈×C₁₀)⋊₄C₄ = (C₂×Q₈)⋊₄F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	8-	(Q8xC10):4C4	320,1120
(Q₈×C₁₀)⋊₅C₄ = C₂×Q₈⋊₂F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80		(Q8xC10):5C4	320,1121
(Q₈×C₁₀)⋊₆C₄ = (C₂×Q₈)⋊₆F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	8+	(Q8xC10):6C4	320,1122
(Q₈×C₁₀)⋊₇C₄ = (C₂×Q₈)⋊₇F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	8+	(Q8xC10):7C4	320,1123
(Q₈×C₁₀)⋊₈C₄ = (C₂×F₅)⋊Q₈	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80		(Q8xC10):8C4	320,1128
(Q₈×C₁₀)⋊₉C₄ = C₂×Q₈×F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80		(Q8xC10):9C4	320,1599
(Q₈×C₁₀)⋊₁₀C₄ = D₅.2_-¹⁺⁴	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	8-	(Q8xC10):10C4	320,1600
(Q₈×C₁₀)⋊₁₁C₄ = C₁₀.₂₉C₄≀C₂	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80		(Q8xC10):11C4	320,96
(Q₈×C₁₀)⋊₁₂C₄ = C₄²⋊Dic₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):12C4	320,99
(Q₈×C₁₀)⋊₁₃C₄ = C₅×C₂³.₃₁D₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80		(Q8xC10):13C4	320,133
(Q₈×C₁₀)⋊₁₄C₄ = C₅×C₄²⋊₃C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):14C4	320,159
(Q₈×C₁₀)⋊₁₅C₄ = C₂×Q₈⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	320		(Q8xC10):15C4	320,851
(Q₈×C₁₀)⋊₁₆C₄ = (Q₈×C₁₀)⋊₁₆C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10):16C4	320,852
(Q₈×C₁₀)⋊₁₇C₄ = (Q₈×C₁₀)⋊₁₇C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	320		(Q8xC10):17C4	320,857
(Q₈×C₁₀)⋊₁₈C₄ = C₂×D₄⋊₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	80		(Q8xC10):18C4	320,862
(Q₈×C₁₀)⋊₁₉C₄ = (D₄×C₁₀)⋊₂₁C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):19C4	320,863
(Q₈×C₁₀)⋊₂₀C₄ = (D₄×C₁₀)⋊₂₂C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):20C4	320,867
(Q₈×C₁₀)⋊₂₁C₄ = C₂×Q₈×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	320		(Q8xC10):21C4	320,1483
(Q₈×C₁₀)⋊₂₂C₄ = C₁₀.₄₂2_-¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10):22C4	320,1484
(Q₈×C₁₀)⋊₂₃C₄ = C₅×C₂³.₆₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	320		(Q8xC10):23C4	320,892
(Q₈×C₁₀)⋊₂₄C₄ = C₅×C₂³.C₂³	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):24C4	320,911
(Q₈×C₁₀)⋊₂₅C₄ = C₁₀×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	320		(Q8xC10):25C4	320,916
(Q₈×C₁₀)⋊₂₆C₄ = C₅×C₂³.₃₈D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10):26C4	320,920
(Q₈×C₁₀)⋊₂₇C₄ = C₁₀×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	80		(Q8xC10):27C4	320,921
(Q₈×C₁₀)⋊₂₈C₄ = C₅×C₄²⋊C₂²	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):28C4	320,922
(Q₈×C₁₀)⋊₂₉C₄ = C₅×C₂³.₃₂C₂³	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10):29C4	320,1521

Non-split extensions G=N.Q with N=Q₈×C₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₀).₁C₄ = (C₂×Q₈).F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	160		(Q8xC10).1C4	320,265
(Q₈×C₁₀).₂C₄ = (Q₈×C₁₀).C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	8-	(Q8xC10).2C4	320,267
(Q₈×C₁₀).₃C₄ = Dic₅.Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	320		(Q8xC10).3C4	320,269
(Q₈×C₁₀).₄C₄ = Dic₅.₁₂Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	320		(Q8xC10).4C4	320,268
(Q₈×C₁₀).₅C₄ = Q₈×C₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	320		(Q8xC10).5C4	320,1124
(Q₈×C₁₀).₆C₄ = (C₂×Q₈).₅F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	160		(Q8xC10).6C4	320,1125
(Q₈×C₁₀).₇C₄ = C₂₀.₆M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	320		(Q8xC10).7C4	320,1126
(Q₈×C₁₀).₈C₄ = (C₂×Q₈).₇F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	8-	(Q8xC10).8C4	320,1127
(Q₈×C₁₀).₉C₄ = C₂×Q₈.F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	160		(Q8xC10).9C4	320,1597
(Q₈×C₁₀).₁₀C₄ = Dic₅.₂₀C₂⁴	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	8+	(Q8xC10).10C4	320,1598
(Q₈×C₁₀).₁₁C₄ = C₄².₇D₁₀	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	160		(Q8xC10).11C4	320,98
(Q₈×C₁₀).₁₂C₄ = C₂₀.₅Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	320		(Q8xC10).12C4	320,104
(Q₈×C₁₀).₁₃C₄ = C₄².₃Dic₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10).13C4	320,106
(Q₈×C₁₀).₁₄C₄ = C₅×C₄².C₂²	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	160		(Q8xC10).14C4	320,134
(Q₈×C₁₀).₁₅C₄ = C₅×C₄.₆Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	320		(Q8xC10).15C4	320,138
(Q₈×C₁₀).₁₆C₄ = C₅×C₄².₃C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10).16C4	320,161
(Q₈×C₁₀).₁₇C₄ = C₂₀.₂₆Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	320		(Q8xC10).17C4	320,93
(Q₈×C₁₀).₁₈C₄ = Q₈×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	320		(Q8xC10).18C4	320,650
(Q₈×C₁₀).₁₉C₄ = C₄².₂₁₀D₁₀	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	320		(Q8xC10).19C4	320,651
(Q₈×C₁₀).₂₀C₄ = C₂×C₂₀.₁₀D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).20C4	320,853
(Q₈×C₁₀).₂₁C₄ = (D₄×C₁₀).₂₄C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).21C4	320,861
(Q₈×C₁₀).₂₂C₄ = C₂×D₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).22C4	320,1490
(Q₈×C₁₀).₂₃C₄ = C₂₀.₇₆C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10).23C4	320,1491
(Q₈×C₁₀).₂₄C₄ = C₅×Q₈⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	320		(Q8xC10).24C4	320,131
(Q₈×C₁₀).₂₅C₄ = C₅×(C₂²×C₈)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).25C4	320,909
(Q₈×C₁₀).₂₆C₄ = C₁₀×C₄.₁₀D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	160		(Q8xC10).26C4	320,913
(Q₈×C₁₀).₂₇C₄ = C₅×C₈⋊₄Q₈	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	320		(Q8xC10).27C4	320,947
(Q₈×C₁₀).₂₈C₄ = C₅×Q₈○M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10).28C4	320,1570
(Q₈×C₁₀).₂₉C₄ = Q₈×C₄₀	φ: trivial image	320		(Q8xC10).29C4	320,946
(Q₈×C₁₀).₃₀C₄ = C₁₀×C₈○D₄	φ: trivial image	160		(Q8xC10).30C4	320,1569

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Extensions 1→N→G→Q→1 with N=Q8×C10 and Q=C4

Extensions 1→N→G→Q→1 with N=Q₈×C₁₀ and Q=C₄