Extensions 1→N→G→Q→1 with N=D₅ and Q=C₄×S₃

Direct product G=N×Q with N=D₅ and Q=C₄×S₃

		d	ρ	Label	ID
C₄×S₃×D₅		60	4	C4xS3xD5	240,135

Semidirect products G=N:Q with N=D₅ and Q=C₄×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₄×S₃) = C₂×S₃×F₅	φ: C₄×S₃/D₆ → C₂ ⊆ Out D₅	30	8+	D5:(C4xS3)	240,195

Non-split extensions G=N.Q with N=D₅ and Q=C₄×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₄×S₃) = Dic₃×F₅	φ: C₄×S₃/Dic₃ → C₂ ⊆ Out D₅	60	8-	D5.1(C4xS3)	240,95
D₅.₂(C₄×S₃) = C₄×C₃⋊F₅	φ: C₄×S₃/C₁₂ → C₂ ⊆ Out D₅	60	4	D5.2(C4xS3)	240,120

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D5 and Q=C4×S3