Extensions 1→N→G→Q→1 with N=C₃×D₅ and Q=C₂×C₄

Direct product G=N×Q with N=C₃×D₅ and Q=C₂×C₄

		d	ρ	Label	ID
D₅×C₂×C₁₂		120		D5xC2xC12	240,156

Semidirect products G=N:Q with N=C₃×D₅ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊(C₂×C₄) = C₂×S₃×F₅	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₃×D₅	30	8+	(C3xD5):(C2xC4)	240,195
(C₃×D₅)⋊₂(C₂×C₄) = C₄×S₃×D₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5):2(C2xC4)	240,135
(C₃×D₅)⋊₃(C₂×C₄) = C₂×D₅×Dic₃	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₃×D₅	120		(C3xD5):3(C2xC4)	240,139
(C₃×D₅)⋊₄(C₂×C₄) = C₂²×C₃⋊F₅	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₃×D₅	60		(C3xD5):4(C2xC4)	240,201
(C₃×D₅)⋊₅(C₂×C₄) = C₂×C₆×F₅	φ: C₂×C₄/C₂² → C₂ ⊆ Out C₃×D₅	60		(C3xD5):5(C2xC4)	240,200

Non-split extensions G=N.Q with N=C₃×D₅ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅).(C₂×C₄) = Dic₃×F₅	φ: C₂×C₄/C₂ → C₂² ⊆ Out C₃×D₅	60	8-	(C3xD5).(C2xC4)	240,95
(C₃×D₅).₂(C₂×C₄) = C₄×C₃⋊F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5).2(C2xC4)	240,120
(C₃×D₅).₃(C₂×C₄) = C₁₂×F₅	φ: C₂×C₄/C₄ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5).3(C2xC4)	240,113

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