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

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

		d	ρ	Label	ID
C₄⋊C₄×Dic₅		320		C4:C4xDic5	320,602

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁Dic₅ = C₄⋊C₄⋊Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₄⋊C₄	80		C4:C4:1Dic5	320,95
C₄⋊C₄⋊₂Dic₅ = C₁₀.₂₉C₄≀C₂	φ: Dic₅/C₅ → C₄ ⊆ Out C₄⋊C₄	80		C4:C4:2Dic5	320,96
C₄⋊C₄⋊₃Dic₅ = C₂₀.₃₁C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4:3Dic5	320,87
C₄⋊C₄⋊₄Dic₅ = C₂₀.₃₂C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:4Dic5	320,90
C₄⋊C₄⋊₅Dic₅ = C₄⋊C₄⋊₅Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4:5Dic5	320,608
C₄⋊C₄⋊₆Dic₅ = C₂₀⋊₆(C₄⋊C₄)	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4:6Dic5	320,612

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁Dic₅ = C₄².₈D₁₀	φ: Dic₅/C₅ → C₄ ⊆ Out C₄⋊C₄	320		C4:C4.1Dic5	320,101
C₄⋊C₄.₂Dic₅ = C₂₀.₁₀D₈	φ: Dic₅/C₅ → C₄ ⊆ Out C₄⋊C₄	320		C4:C4.2Dic5	320,105
C₄⋊C₄.₃Dic₅ = C₂₀.₅₇D₈	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.3Dic5	320,92
C₄⋊C₄.₄Dic₅ = C₂₀.₂₆Q₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4.4Dic5	320,93
C₄⋊C₄.₅Dic₅ = C₄².₄₃D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.5Dic5	320,626
C₄⋊C₄.₆Dic₅ = C₄².₁₈₇D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.6Dic5	320,627
C₄⋊C₄.₇Dic₅ = C₄².₄₇D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.7Dic5	320,638
C₄⋊C₄.₈Dic₅ = C₂₀⋊₇M₄(2)	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.8Dic5	320,639
C₄⋊C₄.₉Dic₅ = C₄².₂₁₀D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4.9Dic5	320,651
C₄⋊C₄.₁₀Dic₅ = C₂₀.₃₅C₄²	φ: trivial image	160		C4:C4.10Dic5	320,624
C₄⋊C₄.₁₁Dic₅ = D₄×C₅⋊₂C₈	φ: trivial image	160		C4:C4.11Dic5	320,637
C₄⋊C₄.₁₂Dic₅ = Q₈×C₅⋊₂C₈	φ: trivial image	320		C4:C4.12Dic5	320,650

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