Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃×C₂².F₅

Direct product G=N×Q with N=C₂ and Q=C₃×C₂².F₅

		d	ρ	Label	ID
C₆×C₂².F₅		240		C6xC2^2.F5	480,1058

Non-split extensions G=N.Q with N=C₂ and Q=C₃×C₂².F₅

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₃×C₂².F₅) = C₃×C₁₀.C₄²	central extension (φ=1)	480	C2.1(C3xC2^2.F5)	480,282
C₂.₂(C₃×C₂².F₅) = C₃×Dic₅⋊C₈	central extension (φ=1)	480	C2.2(C3xC2^2.F5)	480,284
C₂.₃(C₃×C₂².F₅) = C₃×C₂³.₂F₅	central extension (φ=1)	240	C2.3(C3xC2^2.F5)	480,292

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C3×C22.F5