Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=D₁₅

Direct product G=N×Q with N=C₄⋊C₄ and Q=D₁₅

		d	ρ	Label	ID
C₄⋊C₄×D₁₅		240		C4:C4xD15	480,856

Semidirect products G=N:Q with N=C₄⋊C₄ and Q=D₁₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁D₁₅ = D₆₀⋊₉C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:1D15	480,169
C₄⋊C₄⋊₂D₁₅ = D₃₀.₂₉D₄	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:2D15	480,859
C₄⋊C₄⋊₃D₁₅ = C₄⋊D₆₀	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:3D15	480,860
C₄⋊C₄⋊₄D₁₅ = D₃₀⋊₅Q₈	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:4D15	480,861
C₄⋊C₄⋊₅D₁₅ = D₃₀⋊₆Q₈	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:5D15	480,862
C₄⋊C₄⋊₆D₁₅ = C₄⋊C₄⋊D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:6D15	480,863
C₄⋊C₄⋊₇D₁₅ = C₄⋊C₄⋊₇D₁₅	φ: trivial image	240		C4:C4:7D15	480,857
C₄⋊C₄⋊₈D₁₅ = D₆₀⋊₁₁C₄	φ: trivial image	240		C4:C4:8D15	480,858

Non-split extensions G=N.Q with N=C₄⋊C₄ and Q=D₁₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁D₁₅ = C₆₀.₁Q₈	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.1D15	480,167
C₄⋊C₄.₂D₁₅ = C₆₀.₂Q₈	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.2D15	480,168
C₄⋊C₄.₃D₁₅ = Dic₃₀⋊₉C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.3D15	480,170
C₄⋊C₄.₄D₁₅ = C₄⋊Dic₃₀	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.4D15	480,853
C₄⋊C₄.₅D₁₅ = Dic₁₅.₃Q₈	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.5D15	480,854
C₄⋊C₄.₆D₁₅ = C₄.Dic₃₀	φ: D₁₅/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.6D15	480,855
C₄⋊C₄.₇D₁₅ = Dic₁₅⋊₁₀Q₈	φ: trivial image	480		C4:C4.7D15	480,852

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