Extensions 1→N→G→Q→1 with N=C₁₅⋊D₄ and Q=C₄

Direct product G=N×Q with N=C₁₅⋊D₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₁₅⋊D₄		240		C4xC15:D4	480,515

Semidirect products G=N:Q with N=C₁₅⋊D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊D₄⋊₁C₄ = F₅×C₃⋊D₄	φ: C₄/C₁ → C₄ ⊆ Out C₁₅⋊D₄	60	8	C15:D4:1C4	480,1010
C₁₅⋊D₄⋊₂C₄ = C₃⋊D₄⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₁₅⋊D₄	60	8	C15:D4:2C4	480,1012
C₁₅⋊D₄⋊₃C₄ = D₆⋊(C₄×D₅)	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240		C15:D4:3C4	480,516
C₁₅⋊D₄⋊₄C₄ = C₁₅⋊₁₇(C₄×D₄)	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240		C15:D4:4C4	480,517
C₁₅⋊D₄⋊₅C₄ = Dic₁₅⋊₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240		C15:D4:5C4	480,518

Non-split extensions G=N.Q with N=C₁₅⋊D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊D₄.₁C₄ = D₁₂.₂F₅	φ: C₄/C₁ → C₄ ⊆ Out C₁₅⋊D₄	240	8-	C15:D4.1C4	480,987
C₁₅⋊D₄.₂C₄ = D₁₂.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₁₅⋊D₄	240	8-	C15:D4.2C4	480,989
C₁₅⋊D₄.₃C₄ = C₄₀.₃₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240	4	C15:D4.3C4	480,342
C₁₅⋊D₄.₄C₄ = C₄₀.₅₅D₆	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240	4	C15:D4.4C4	480,343
C₁₅⋊D₄.₅C₄ = C₄₀.₃₅D₆	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊D₄	240	4	C15:D4.5C4	480,344
C₁₅⋊D₄.₆C₄ = C₄₀.₅₄D₆	φ: trivial image	240	4	C15:D4.6C4	480,341

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