Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃₀.₄Q₈

Direct product G=N×Q with N=C₂ and Q=C₃₀.₄Q₈

		d	ρ	Label	ID
C₂×C₃₀.₄Q₈		480		C2xC30.4Q8	480,888

Non-split extensions G=N.Q with N=C₂ and Q=C₃₀.₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₃₀.₄Q₈) = C₆₀.₂₆Q₈	central extension (φ=1)	480		C2.1(C30.4Q8)	480,174
C₂.₂(C₃₀.₄Q₈) = C₃₀.₂₉C₄²	central extension (φ=1)	480		C2.2(C30.4Q8)	480,191
C₂.₃(C₃₀.₄Q₈) = C₆₀.₁Q₈	central stem extension (φ=1)	480		C2.3(C30.4Q8)	480,167
C₂.₄(C₃₀.₄Q₈) = C₆₀.₂Q₈	central stem extension (φ=1)	480		C2.4(C30.4Q8)	480,168
C₂.₅(C₃₀.₄Q₈) = C₆₀.₂₁₀D₄	central stem extension (φ=1)	240	4	C2.5(C30.4Q8)	480,182

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁