Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₃×D₅

Direct product G=N×Q with N=C₄○D₄ and Q=C₃×D₅

		d	ρ	Label	ID
C₃×D₅×C₄○D₄		120	4	C3xD5xC4oD4	480,1145

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₃×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊(C₃×D₅) = D₂₀.A₄	φ: C₃×D₅/C₅ → C₆ ⊆ Out C₄○D₄	80	4-	C4oD4:(C3xD5)	480,1043
C₄○D₄⋊₂(C₃×D₅) = D₅×C₄.A₄	φ: C₃×D₅/D₅ → C₃ ⊆ Out C₄○D₄	80	4	C4oD4:2(C3xD5)	480,1042
C₄○D₄⋊₃(C₃×D₅) = C₃×D₄⋊D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₄○D₄	120	4	C4oD4:3(C3xD5)	480,742
C₄○D₄⋊₄(C₃×D₅) = C₃×D₄.₈D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₄○D₄	240	4	C4oD4:4(C3xD5)	480,743
C₄○D₄⋊₅(C₃×D₅) = C₃×D₄⋊₈D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₄○D₄	120	4	C4oD4:5(C3xD5)	480,1146
C₄○D₄⋊₆(C₃×D₅) = C₃×D₄.₁₀D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₄○D₄	240	4	C4oD4:6(C3xD5)	480,1147

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₃×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.(C₃×D₅) = Dic₁₀.A₄	φ: C₃×D₅/C₅ → C₆ ⊆ Out C₄○D₄	120	4+	C4oD4.(C3xD5)	480,1041
C₄○D₄.₂(C₃×D₅) = SL₂(𝔽₃).Dic₅	φ: C₃×D₅/D₅ → C₃ ⊆ Out C₄○D₄	160	4	C4oD4.2(C3xD5)	480,267
C₄○D₄.₃(C₃×D₅) = C₃×D₄⋊₂Dic₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₄○D₄	120	4	C4oD4.3(C3xD5)	480,115
C₄○D₄.₄(C₃×D₅) = C₃×D₄.₉D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₄○D₄	240	4	C4oD4.4(C3xD5)	480,744
C₄○D₄.₅(C₃×D₅) = C₃×D₄.Dic₅	φ: trivial image	240	4	C4oD4.5(C3xD5)	480,741

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