Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃×C₄⋊F₅

Direct product G=N×Q with N=C₂ and Q=C₃×C₄⋊F₅

		d	ρ	Label	ID
C₆×C₄⋊F₅		120		C6xC4:F5	480,1051

Non-split extensions G=N.Q with N=C₂ and Q=C₃×C₄⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₃×C₄⋊F₅) = C₃×C₂₀⋊C₈	central extension (φ=1)	480		C2.1(C3xC4:F5)	480,281
C₂.₂(C₃×C₄⋊F₅) = C₃×Dic₅⋊C₈	central extension (φ=1)	480		C2.2(C3xC4:F5)	480,284
C₂.₃(C₃×C₄⋊F₅) = C₃×D₁₀.₃Q₈	central extension (φ=1)	120		C2.3(C3xC4:F5)	480,286
C₂.₄(C₃×C₄⋊F₅) = C₃×C₄₀⋊C₄	central stem extension (φ=1)	120	4	C2.4(C3xC4:F5)	480,273
C₂.₅(C₃×C₄⋊F₅) = C₃×D₅.D₈	central stem extension (φ=1)	120	4	C2.5(C3xC4:F5)	480,274
C₂.₆(C₃×C₄⋊F₅) = C₃×C₄₀.C₄	central stem extension (φ=1)	240	4	C2.6(C3xC4:F5)	480,275
C₂.₇(C₃×C₄⋊F₅) = C₃×D₁₀.Q₈	central stem extension (φ=1)	240	4	C2.7(C3xC4:F5)	480,276

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁