Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₃xD₅

Direct product G=NxQ with N=C₂xC₄ and Q=C₃xD₅

		d	ρ	Label	ID
D₅xC₂xC₁₂		120		D5xC2xC12	240,156

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁(C₃xD₅) = C₃xD₁₀:C₄	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₄	120		(C2xC4):1(C3xD5)	240,43
(C₂xC₄):₂(C₃xD₅) = C₆xD₂₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₄	120		(C2xC4):2(C3xD5)	240,157
(C₂xC₄):₃(C₃xD₅) = C₃xC₄oD₂₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₄	120	2	(C2xC4):3(C3xD5)	240,158

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁(C₃xD₅) = C₃xC₁₀.D₄	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4).1(C3xD5)	240,41
(C₂xC₄).₂(C₃xD₅) = C₃xC₄.Dic₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₄	120	2	(C2xC4).2(C3xD5)	240,39
(C₂xC₄).₃(C₃xD₅) = C₃xC₄:Dic₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4).3(C3xD5)	240,42
(C₂xC₄).₄(C₃xD₅) = C₆xDic₁₀	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4).4(C3xD5)	240,155
(C₂xC₄).₅(C₃xD₅) = C₆xC₅:₂C₈	central extension (φ=1)	240		(C2xC4).5(C3xD5)	240,38
(C₂xC₄).₆(C₃xD₅) = C₁₂xDic₅	central extension (φ=1)	240		(C2xC4).6(C3xD5)	240,40

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