Extensions 1→N→G→Q→1 with N=C₄xD₅ and Q=C₆

Direct product G=NxQ with N=C₄xD₅ and Q=C₆

		d	ρ	Label	ID
D₅xC₂xC₁₂		120		D5xC2xC12	240,156

Semidirect products G=N:Q with N=C₄xD₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₅):₁C₆ = C₃xD₄xD₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₅	60	4	(C4xD5):1C6	240,159
(C₄xD₅):₂C₆ = C₃xD₄:₂D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₅	120	4	(C4xD5):2C6	240,160
(C₄xD₅):₃C₆ = C₃xQ₈:₂D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₅	120	4	(C4xD5):3C6	240,162
(C₄xD₅):₄C₆ = C₃xC₄oD₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₅	120	2	(C4xD5):4C6	240,158

Non-split extensions G=N.Q with N=C₄xD₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₅).₁C₆ = C₃xQ₈xD₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₅	120	4	(C4xD5).1C6	240,161
(C₄xD₅).₂C₆ = C₃xC₈:D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₅	120	2	(C4xD5).2C6	240,34
(C₄xD₅).₃C₆ = C₃xC₄.F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₅	120	4	(C4xD5).3C6	240,112
(C₄xD₅).₄C₆ = C₃xC₄:F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₅	60	4	(C4xD5).4C6	240,114
(C₄xD₅).₅C₆ = C₃xD₅:C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₅	120	4	(C4xD5).5C6	240,111
(C₄xD₅).₆C₆ = C₁₂xF₅	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₅	60	4	(C4xD5).6C6	240,113
(C₄xD₅).₇C₆ = D₅xC₂₄	φ: trivial image	120	2	(C4xD5).7C6	240,33

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