Extensions 1→N→G→Q→1 with N=C₄² and Q=C₃xD₅

Direct product G=NxQ with N=C₄² and Q=C₃xD₅

		d	ρ	Label	ID
D₅xC₄xC₁₂		240		D5xC4xC12	480,664

Semidirect products G=N:Q with N=C₄² and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²:₁(C₃xD₅) = (C₄xC₂₀):C₆	φ: C₃xD₅/C₅ → C₆ ⊆ Aut C₄²	80	6	C4^2:1(C3xD5)	480,263
C₄²:₂(C₃xD₅) = C₂₀:₄D₄:C₃	φ: C₃xD₅/C₅ → C₆ ⊆ Aut C₄²	60	6+	C4^2:2(C3xD5)	480,262
C₄²:₃(C₃xD₅) = D₅xC₄²:C₃	φ: C₃xD₅/D₅ → C₃ ⊆ Aut C₄²	60	6	C4^2:3(C3xD5)	480,264
C₄²:₄(C₃xD₅) = C₃xC₄²:D₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:4(C3xD5)	480,665
C₄²:₅(C₃xD₅) = C₃xC₄²:₂D₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:5(C3xD5)	480,669
C₄²:₆(C₃xD₅) = C₃xD₂₀:₄C₄	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	120	2	C4^2:6(C3xD5)	480,83
C₄²:₇(C₃xD₅) = C₁₂xD₂₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:7(C3xD5)	480,666
C₄²:₈(C₃xD₅) = C₃xC₂₀:₄D₄	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:8(C3xD5)	480,667
C₄²:₉(C₃xD₅) = C₃xC₄.D₂₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:9(C3xD5)	480,668

Non-split extensions G=N.Q with N=C₄² and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁(C₃xD₅) = C₃xC₄².D₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.1(C3xD5)	480,81
C₄².₂(C₃xD₅) = C₃xC₂₀:₃C₈	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.2(C3xD5)	480,82
C₄².₃(C₃xD₅) = C₁₂xDic₁₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.3(C3xD5)	480,661
C₄².₄(C₃xD₅) = C₃xC₂₀:₂Q₈	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.4(C3xD5)	480,662
C₄².₅(C₃xD₅) = C₃xC₂₀.₆Q₈	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.5(C3xD5)	480,663
C₄².₆(C₃xD₅) = C₁₂xC₅:₂C₈	central extension (φ=1)	480		C4^2.6(C3xD5)	480,80

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