Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=Dic₅

Direct product G=N×Q with N=C₂²⋊C₄ and Q=Dic₅

		d	ρ	Label	ID
C₂²⋊C₄×Dic₅		160		C2^2:C4xDic5	320,568

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁Dic₅ = C₂⁴⋊₂Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂²⋊C₄	40	4	C2^2:C4:1Dic5	320,94
C₂²⋊C₄⋊₂Dic₅ = (C₂²×C₂₀)⋊C₄	φ: Dic₅/C₅ → C₄ ⊆ Out C₂²⋊C₄	80	4	C2^2:C4:2Dic5	320,97
C₂²⋊C₄⋊₃Dic₅ = C₂⁴.₂D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:3Dic5	320,85
C₂²⋊C₄⋊₄Dic₅ = C₂⁴.₄₇D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4:4Dic5	320,577
C₂²⋊C₄⋊₅Dic₅ = C₂⁴.₈D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4:5Dic5	320,578

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁Dic₅ = C₂₀.₆₀(C₄⋊C₄)	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80	4	C2^2:C4.1Dic5	320,91
C₂²⋊C₄.₂Dic₅ = C₄².₄₃D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.2Dic5	320,626
C₂²⋊C₄.₃Dic₅ = C₄².₁₈₇D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.3Dic5	320,627
C₂²⋊C₄.₄Dic₅ = C₄².₄₇D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.4Dic5	320,638
C₂²⋊C₄.₅Dic₅ = C₂₀⋊₇M₄(2)	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.5Dic5	320,639
C₂²⋊C₄.₆Dic₅ = C₂₀.₃₅C₄²	φ: trivial image	160		C2^2:C4.6Dic5	320,624
C₂²⋊C₄.₇Dic₅ = D₄×C₅⋊₂C₈	φ: trivial image	160		C2^2:C4.7Dic5	320,637

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