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

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

		d	ρ	Label	ID
C₃×D₄×D₅		60	4	C3xD4xD5	240,159

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₃×D₅) = C₃×D₄⋊D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out D₄	120	4	D4:(C3xD5)	240,44
D₄⋊₂(C₃×D₅) = C₃×D₄⋊₂D₅	φ: trivial image	120	4	D4:2(C3xD5)	240,160

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×D₅) = C₃×D₄.D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out D₄	120	4	D4.(C3xD5)	240,45

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