Extensions 1→N→G→Q→1 with N=C₆xD₄ and Q=D₅

Direct product G=NxQ with N=C₆xD₄ and Q=D₅

		d	ρ	Label	ID
C₆xD₄xD₅		120		C6xD4xD5	480,1139

Semidirect products G=N:Q with N=C₆xD₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₄):₁D₅ = C₂xD₄:D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):1D5	480,896
(C₆xD₄):₂D₅ = D₄.D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4):2D5	480,897
(C₆xD₄):₃D₅ = C₆₀:₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):3D5	480,903
(C₆xD₄):₄D₅ = C₆₀:₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):4D5	480,905
(C₆xD₄):₅D₅ = C₂xD₄xD₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120		(C6xD4):5D5	480,1169
(C₆xD₄):₆D₅ = C₂xD₄:₂D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):6D5	480,1170
(C₆xD₄):₇D₅ = D₄:₆D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4):7D5	480,1171
(C₆xD₄):₈D₅ = C₆xD₄:D₅	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):8D5	480,724
(C₆xD₄):₉D₅ = C₃xD₄.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4):9D5	480,725
(C₆xD₄):₁₀D₅ = C₃xC₂³:D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120		(C6xD4):10D5	480,730
(C₆xD₄):₁₁D₅ = C₃xC₂₀:₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):11D5	480,731
(C₆xD₄):₁₂D₅ = C₃xDic₅:D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):12D5	480,732
(C₆xD₄):₁₃D₅ = C₃xC₂₀:D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):13D5	480,733
(C₆xD₄):₁₄D₅ = D₃₀:₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120		(C6xD4):14D5	480,902
(C₆xD₄):₁₅D₅ = Dic₁₅:₁₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4):15D5	480,904
(C₆xD₄):₁₆D₅ = C₃xD₄:₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4):16D5	480,1141
(C₆xD₄):₁₇D₅ = C₆xD₄:₂D₅	φ: trivial image	240		(C6xD4):17D5	480,1140

Non-split extensions G=N.Q with N=C₆xD₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₄).₁D₅ = D₄:Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).1D5	480,192
(C₆xD₄).₂D₅ = C₆₀.₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4).2D5	480,193
(C₆xD₄).₃D₅ = C₂xD₄.D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).3D5	480,898
(C₆xD₄).₄D₅ = D₄xDic₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).4D5	480,899
(C₆xD₄).₅D₅ = C₆₀.₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).5D5	480,901
(C₆xD₄).₆D₅ = C₃xD₄:Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).6D5	480,110
(C₆xD₄).₇D₅ = C₃xC₂₀.D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4).7D5	480,111
(C₆xD₄).₈D₅ = C₃xC₂³:Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4).8D5	480,112
(C₆xD₄).₉D₅ = C₂³.₇D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	120	4	(C6xD4).9D5	480,194
(C₆xD₄).₁₀D₅ = C₆xD₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).10D5	480,726
(C₆xD₄).₁₁D₅ = C₃xC₂³.₁₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).11D5	480,728
(C₆xD₄).₁₂D₅ = C₃xC₂₀.₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).12D5	480,729
(C₆xD₄).₁₃D₅ = C₂³.₂₂D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₆xD₄	240		(C6xD4).13D5	480,900
(C₆xD₄).₁₄D₅ = C₃xD₄xDic₅	φ: trivial image	240		(C6xD4).14D5	480,727

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