Extensions 1→N→G→Q→1 with N=C₄².D₅ and Q=C₂

Direct product G=N×Q with N=C₄².D₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄².D₅		320		C2xC4^2.D5	320,548

Semidirect products G=N:Q with N=C₄².D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².D₅⋊₁C₂ = C₄².D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:1C2	320,22
C₄².D₅⋊₂C₂ = M₄(2).₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	80	4	C4^2.D5:2C2	320,450
C₄².D₅⋊₃C₂ = D₁₀⋊₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:3C2	320,463
C₄².D₅⋊₄C₂ = C₄².₄₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:4C2	320,638
C₄².D₅⋊₅C₂ = C₄².₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:5C2	320,641
C₄².D₅⋊₆C₂ = C₄².₅₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:6C2	320,645
C₄².D₅⋊₇C₂ = C₄².₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:7C2	320,653
C₄².D₅⋊₈C₂ = C₄².₆₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:8C2	320,682
C₄².D₅⋊₉C₂ = C₄².₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:9C2	320,685
C₄².D₅⋊₁₀C₂ = C₄².₆₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:10C2	320,687
C₄².D₅⋊₁₁C₂ = C₄².₇₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:11C2	320,694
C₄².D₅⋊₁₂C₂ = C₄².₇₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:12C2	320,698
C₄².D₅⋊₁₃C₂ = C₄².₇₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:13C2	320,701
C₄².D₅⋊₁₄C₂ = C₄².₈₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:14C2	320,713
C₄².D₅⋊₁₅C₂ = C₄².₈₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:15C2	320,716
C₄².D₅⋊₁₆C₂ = C₄².₂₄₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:16C2	320,317
C₄².D₅⋊₁₇C₂ = D₅×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:17C2	320,331
C₄².D₅⋊₁₈C₂ = C₄².₁₈₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:18C2	320,332
C₄².D₅⋊₁₉C₂ = D₁₀.₆C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:19C2	320,334
C₄².D₅⋊₂₀C₂ = C₄².₇Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:20C2	320,553
C₄².D₅⋊₂₁C₂ = C₂₀.₃₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:21C2	320,624
C₄².D₅⋊₂₂C₂ = C₄².₁₈₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:22C2	320,627
C₄².D₅⋊₂₃C₂ = C₄².₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	160		C4^2.D5:23C2	320,98
C₄².D₅⋊₂₄C₂ = D₁₀.₅C₄²	φ: trivial image	160		C4^2.D5:24C2	320,316
C₄².D₅⋊₂₅C₂ = C₄×C₄.Dic₅	φ: trivial image	160		C4^2.D5:25C2	320,549

Non-split extensions G=N.Q with N=C₄².D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².D₅.₁C₂ = C₄².₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	320		C4^2.D5.1C2	320,23
C₄².D₅.₂C₂ = Dic₅.₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	320		C4^2.D5.2C2	320,455
C₄².D₅.₃C₂ = C₄².₂₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	320		C4^2.D5.3C2	320,651
C₄².D₅.₄C₂ = C₄².₅₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	320		C4^2.D5.4C2	320,657
C₄².D₅.₅C₂ = C₄².₆₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	320		C4^2.D5.5C2	320,692
C₄².D₅.₆C₂ = C₄².₇₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	320		C4^2.D5.6C2	320,696
C₄².D₅.₇C₂ = C₄².₇₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	320		C4^2.D5.7C2	320,707
C₄².D₅.₈C₂ = C₄².₇₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	320		C4^2.D5.8C2	320,709
C₄².D₅.₉C₂ = C₄².₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	320		C4^2.D5.9C2	320,101
C₄².D₅.₁₀C₂ = C₄².₃F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₅	80	4	C4^2.D5.10C2	320,198

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Extensions 1→N→G→Q→1 with N=C42.D5 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄².D₅ and Q=C₂