Extensions 1→N→G→Q→1 with N=C₆×D₄ and Q=D₅

Direct product G=N×Q with N=C₆×D₄ and Q=D₅

		d	ρ	Label	ID
C₆×D₄×D₅		120		C6xD4xD5	480,1139

Semidirect products G=N:Q with N=C₆×D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₄)⋊₁D₅ = C₂×D₄⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):1D5	480,896
(C₆×D₄)⋊₂D₅ = D₄.D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4):2D5	480,897
(C₆×D₄)⋊₃D₅ = C₆₀⋊₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):3D5	480,903
(C₆×D₄)⋊₄D₅ = C₆₀⋊₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):4D5	480,905
(C₆×D₄)⋊₅D₅ = C₂×D₄×D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120		(C6xD4):5D5	480,1169
(C₆×D₄)⋊₆D₅ = C₂×D₄⋊₂D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):6D5	480,1170
(C₆×D₄)⋊₇D₅ = D₄⋊₆D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4):7D5	480,1171
(C₆×D₄)⋊₈D₅ = C₆×D₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):8D5	480,724
(C₆×D₄)⋊₉D₅ = C₃×D₄.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4):9D5	480,725
(C₆×D₄)⋊₁₀D₅ = C₃×C₂³⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120		(C6xD4):10D5	480,730
(C₆×D₄)⋊₁₁D₅ = C₃×C₂₀⋊₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):11D5	480,731
(C₆×D₄)⋊₁₂D₅ = C₃×Dic₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):12D5	480,732
(C₆×D₄)⋊₁₃D₅ = C₃×C₂₀⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):13D5	480,733
(C₆×D₄)⋊₁₄D₅ = D₃₀⋊₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120		(C6xD4):14D5	480,902
(C₆×D₄)⋊₁₅D₅ = Dic₁₅⋊₁₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4):15D5	480,904
(C₆×D₄)⋊₁₆D₅ = C₃×D₄⋊₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4):16D5	480,1141
(C₆×D₄)⋊₁₇D₅ = C₆×D₄⋊₂D₅	φ: trivial image	240		(C6xD4):17D5	480,1140

Non-split extensions G=N.Q with N=C₆×D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₄).₁D₅ = D₄⋊Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).1D5	480,192
(C₆×D₄).₂D₅ = C₆₀.₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4).2D5	480,193
(C₆×D₄).₃D₅ = C₂×D₄.D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).3D5	480,898
(C₆×D₄).₄D₅ = D₄×Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).4D5	480,899
(C₆×D₄).₅D₅ = C₆₀.₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).5D5	480,901
(C₆×D₄).₆D₅ = C₃×D₄⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).6D5	480,110
(C₆×D₄).₇D₅ = C₃×C₂₀.D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4).7D5	480,111
(C₆×D₄).₈D₅ = C₃×C₂³⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4).8D5	480,112
(C₆×D₄).₉D₅ = C₂³.₇D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	120	4	(C6xD4).9D5	480,194
(C₆×D₄).₁₀D₅ = C₆×D₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).10D5	480,726
(C₆×D₄).₁₁D₅ = C₃×C₂³.₁₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).11D5	480,728
(C₆×D₄).₁₂D₅ = C₃×C₂₀.₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).12D5	480,729
(C₆×D₄).₁₃D₅ = C₂³.₂₂D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₆×D₄	240		(C6xD4).13D5	480,900
(C₆×D₄).₁₄D₅ = C₃×D₄×Dic₅	φ: trivial image	240		(C6xD4).14D5	480,727

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