Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³⋊F₅

Direct product G=N×Q with N=C₂ and Q=C₂³⋊F₅

		d	ρ	Label	ID
C₂×C₂³⋊F₅		80		C2xC2^3:F5	320,1134

Non-split extensions G=N.Q with N=C₂ and Q=C₂³⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³⋊F₅) = (C₂²×C₄).F₅	central extension (φ=1)	160		C2.1(C2^3:F5)	320,252
C₂.₂(C₂³⋊F₅) = C₂²⋊F₅⋊C₄	central extension (φ=1)	80		C2.2(C2^3:F5)	320,255
C₂.₃(C₂³⋊F₅) = C₂⁴.F₅	central extension (φ=1)	80		C2.3(C2^3:F5)	320,271
C₂.₄(C₂³⋊F₅) = (C₂²×C₄)⋊F₅	central stem extension (φ=1)	80	4	C2.4(C2^3:F5)	320,254
C₂.₅(C₂³⋊F₅) = D₁₀.SD₁₆	central stem extension (φ=1)	80		C2.5(C2^3:F5)	320,258
C₂.₆(C₂³⋊F₅) = (C₂×D₄)⋊F₅	central stem extension (φ=1)	40	8+	C2.6(C2^3:F5)	320,260
C₂.₇(C₂³⋊F₅) = (D₄×C₁₀).C₄	central stem extension (φ=1)	80	8-	C2.7(C2^3:F5)	320,261
C₂.₈(C₂³⋊F₅) = D₁₀.Q₁₆	central stem extension (φ=1)	80		C2.8(C2^3:F5)	320,264
C₂.₉(C₂³⋊F₅) = (C₂×Q₈)⋊F₅	central stem extension (φ=1)	80	8+	C2.9(C2^3:F5)	320,266
C₂.₁₀(C₂³⋊F₅) = (Q₈×C₁₀).C₄	central stem extension (φ=1)	80	8-	C2.10(C2^3:F5)	320,267
C₂.₁₁(C₂³⋊F₅) = C₂⁴⋊₂F₅	central stem extension (φ=1)	40	4	C2.11(C2^3:F5)	320,272

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁