Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=C₃×D₅

Direct product G=N×Q with N=C₂×D₄ and Q=C₃×D₅

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

Semidirect products G=N:Q with N=C₂×D₄ and Q=C₃×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁(C₃×D₅) = C₆×D₄⋊D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4):1(C3xD5)	480,724
(C₂×D₄)⋊₂(C₃×D₅) = C₃×D₄.D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	120	4	(C2xD4):2(C3xD5)	480,725
(C₂×D₄)⋊₃(C₃×D₅) = C₃×C₂³⋊D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	120		(C2xD4):3(C3xD5)	480,730
(C₂×D₄)⋊₄(C₃×D₅) = C₃×C₂₀⋊₂D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4):4(C3xD5)	480,731
(C₂×D₄)⋊₅(C₃×D₅) = C₃×Dic₅⋊D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4):5(C3xD5)	480,732
(C₂×D₄)⋊₆(C₃×D₅) = C₃×C₂₀⋊D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4):6(C3xD5)	480,733
(C₂×D₄)⋊₇(C₃×D₅) = C₃×D₄⋊₆D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	120	4	(C2xD4):7(C3xD5)	480,1141
(C₂×D₄)⋊₈(C₃×D₅) = C₆×D₄⋊₂D₅	φ: trivial image	240		(C2xD4):8(C3xD5)	480,1140

Non-split extensions G=N.Q with N=C₂×D₄ and Q=C₃×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁(C₃×D₅) = C₃×D₄⋊Dic₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4).1(C3xD5)	480,110
(C₂×D₄).₂(C₃×D₅) = C₃×C₂₀.D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	120	4	(C2xD4).2(C3xD5)	480,111
(C₂×D₄).₃(C₃×D₅) = C₃×C₂³⋊Dic₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	120	4	(C2xD4).3(C3xD5)	480,112
(C₂×D₄).₄(C₃×D₅) = C₆×D₄.D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4).4(C3xD5)	480,726
(C₂×D₄).₅(C₃×D₅) = C₃×C₂³.₁₈D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4).5(C3xD5)	480,728
(C₂×D₄).₆(C₃×D₅) = C₃×C₂₀.₁₇D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4).6(C3xD5)	480,729
(C₂×D₄).₇(C₃×D₅) = C₃×D₄×Dic₅	φ: trivial image	240		(C2xD4).7(C3xD5)	480,727

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