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

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

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

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

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄)⋊₁C₁₀ = D₈×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):1C10	320,938
(C₄×D₄)⋊₂C₁₀ = C₅×D₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):2C10	320,943
(C₄×D₄)⋊₃C₁₀ = C₅×C₄⋊D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):3C10	320,960
(C₄×D₄)⋊₄C₁₀ = C₅×D₄.₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):4C10	320,964
(C₄×D₄)⋊₅C₁₀ = C₅×C₂².₁₁C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):5C10	320,1520
(C₄×D₄)⋊₆C₁₀ = C₅×C₂³.₃₃C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):6C10	320,1522
(C₄×D₄)⋊₇C₁₀ = C₅×C₂².₁₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):7C10	320,1527
(C₄×D₄)⋊₈C₁₀ = C₅×C₂³.₃₆C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):8C10	320,1531
(C₄×D₄)⋊₉C₁₀ = C₅×C₂².₂₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):9C10	320,1534
(C₄×D₄)⋊₁₀C₁₀ = C₅×C₂².₃₂C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):10C10	320,1540
(C₄×D₄)⋊₁₁C₁₀ = C₅×C₂².₃₃C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):11C10	320,1541
(C₄×D₄)⋊₁₂C₁₀ = C₅×C₂².₃₄C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):12C10	320,1542
(C₄×D₄)⋊₁₃C₁₀ = C₅×C₂².₃₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):13C10	320,1544
(C₄×D₄)⋊₁₄C₁₀ = C₅×D₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):14C10	320,1547
(C₄×D₄)⋊₁₅C₁₀ = C₅×D₄⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):15C10	320,1548
(C₄×D₄)⋊₁₆C₁₀ = C₅×D₄⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):16C10	320,1549
(C₄×D₄)⋊₁₇C₁₀ = C₅×Q₈⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):17C10	320,1550
(C₄×D₄)⋊₁₈C₁₀ = C₅×Q₈⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):18C10	320,1552
(C₄×D₄)⋊₁₉C₁₀ = C₅×C₂².₄₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):19C10	320,1553
(C₄×D₄)⋊₂₀C₁₀ = C₅×C₂².₄₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):20C10	320,1555
(C₄×D₄)⋊₂₁C₁₀ = C₅×C₂².₄₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):21C10	320,1557
(C₄×D₄)⋊₂₂C₁₀ = C₅×C₂².₅₃C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):22C10	320,1561
(C₄×D₄)⋊₂₃C₁₀ = C₄○D₄×C₂₀	φ: trivial image	160	(C4xD4):23C10	320,1519

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

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄).₁C₁₀ = C₅×D₄⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).1C10	320,130
(C₄×D₄).₂C₁₀ = C₅×C₈⋊₉D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).2C10	320,936
(C₄×D₄).₃C₁₀ = C₅×C₈⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).3C10	320,937
(C₄×D₄).₄C₁₀ = SD₁₆×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).4C10	320,939
(C₄×D₄).₅C₁₀ = C₅×SD₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).5C10	320,941
(C₄×D₄).₆C₁₀ = C₅×D₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).6C10	320,962
(C₄×D₄).₇C₁₀ = C₅×D₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).7C10	320,975
(C₄×D₄).₈C₁₀ = C₅×D₄⋊₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).8C10	320,977
(C₄×D₄).₉C₁₀ = C₅×D₄.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).9C10	320,979
(C₄×D₄).₁₀C₁₀ = C₅×D₄×Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).10C10	320,1551
(C₄×D₄).₁₁C₁₀ = C₅×C₂².₄₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).11C10	320,1554
(C₄×D₄).₁₂C₁₀ = C₅×D₄⋊₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).12C10	320,1556
(C₄×D₄).₁₃C₁₀ = C₅×C₂².₅₀C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).13C10	320,1558
(C₄×D₄).₁₄C₁₀ = D₄×C₄₀	φ: trivial image	160	(C4xD4).14C10	320,935

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

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