Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=D₅

Direct product G=N×Q with N=C₄⋊C₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₄⋊C₄		80		D5xC4:C4	160,112

Semidirect products G=N:Q with N=C₄⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁D₅ = D₂₀⋊₆C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:1D5	160,16
C₄⋊C₄⋊₂D₅ = D₁₀.₁₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:2D5	160,115
C₄⋊C₄⋊₃D₅ = C₄⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:3D5	160,116
C₄⋊C₄⋊₄D₅ = D₁₀⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:4D5	160,117
C₄⋊C₄⋊₅D₅ = D₁₀⋊₂Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:5D5	160,118
C₄⋊C₄⋊₆D₅ = C₄⋊C₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:6D5	160,119
C₄⋊C₄⋊₇D₅ = C₄⋊C₄⋊₇D₅	φ: trivial image	80		C4:C4:7D5	160,113
C₄⋊C₄⋊₈D₅ = D₂₀⋊₈C₄	φ: trivial image	80		C4:C4:8D5	160,114

Non-split extensions G=N.Q with N=C₄⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁D₅ = C₁₀.D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.1D5	160,14
C₄⋊C₄.₂D₅ = C₂₀.Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.2D5	160,15
C₄⋊C₄.₃D₅ = C₁₀.Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.3D5	160,17
C₄⋊C₄.₄D₅ = C₂₀⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.4D5	160,109
C₄⋊C₄.₅D₅ = Dic₅.Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.5D5	160,110
C₄⋊C₄.₆D₅ = C₄.Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.6D5	160,111
C₄⋊C₄.₇D₅ = Dic₅⋊₃Q₈	φ: trivial image	160		C4:C4.7D5	160,108

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