Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂⁴⋊₂D₅

Direct product G=N×Q with N=C₂ and Q=C₂⁴⋊₂D₅

		d	ρ	Label	ID
C₂×C₂⁴⋊₂D₅		80		C2xC2^4:2D5	320,1512

Non-split extensions G=N.Q with N=C₂ and Q=C₂⁴⋊₂D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂⁴⋊₂D₅) = C₂⁴.₆₂D₁₀	central extension (φ=1)	160		C2.1(C2^4:2D5)	320,837
C₂.₂(C₂⁴⋊₂D₅) = C₂⁴.₆₅D₁₀	central extension (φ=1)	160		C2.2(C2^4:2D5)	320,840
C₂.₃(C₂⁴⋊₂D₅) = C₂⁵.₂D₅	central extension (φ=1)	80		C2.3(C2^4:2D5)	320,874
C₂.₄(C₂⁴⋊₂D₅) = (C₂×C₁₀)⋊₈D₈	central stem extension (φ=1)	80		C2.4(C2^4:2D5)	320,844
C₂.₅(C₂⁴⋊₂D₅) = (C₅×D₄).₃₁D₄	central stem extension (φ=1)	80		C2.5(C2^4:2D5)	320,845
C₂.₆(C₂⁴⋊₂D₅) = C₂⁴.₂₀D₁₀	central stem extension (φ=1)	160		C2.6(C2^4:2D5)	320,849
C₂.₇(C₂⁴⋊₂D₅) = C₂⁴.₂₁D₁₀	central stem extension (φ=1)	160		C2.7(C2^4:2D5)	320,850
C₂.₈(C₂⁴⋊₂D₅) = (C₅×Q₈)⋊₁₃D₄	central stem extension (φ=1)	160		C2.8(C2^4:2D5)	320,854
C₂.₉(C₂⁴⋊₂D₅) = (C₂×C₁₀)⋊₈Q₁₆	central stem extension (φ=1)	160		C2.9(C2^4:2D5)	320,855
C₂.₁₀(C₂⁴⋊₂D₅) = C₁₀.C₂²≀C₂	central stem extension (φ=1)	320		C2.10(C2^4:2D5)	320,856
C₂.₁₁(C₂⁴⋊₂D₅) = (C₂²×D₅)⋊Q₈	central stem extension (φ=1)	160		C2.11(C2^4:2D5)	320,858
C₂.₁₂(C₂⁴⋊₂D₅) = (C₅×D₄)⋊₁₄D₄	central stem extension (φ=1)	160		C2.12(C2^4:2D5)	320,865
C₂.₁₃(C₂⁴⋊₂D₅) = (C₅×D₄).₃₂D₄	central stem extension (φ=1)	160		C2.13(C2^4:2D5)	320,866
C₂.₁₄(C₂⁴⋊₂D₅) = 2₊¹⁺⁴⋊D₅	central stem extension (φ=1)	40	8+	C2.14(C2^4:2D5)	320,868
C₂.₁₅(C₂⁴⋊₂D₅) = 2₊¹⁺⁴.D₅	central stem extension (φ=1)	80	8-	C2.15(C2^4:2D5)	320,869
C₂.₁₆(C₂⁴⋊₂D₅) = 2₊¹⁺⁴.₂D₅	central stem extension (φ=1)	80	8-	C2.16(C2^4:2D5)	320,870
C₂.₁₇(C₂⁴⋊₂D₅) = 2₊¹⁺⁴⋊₂D₅	central stem extension (φ=1)	40	8+	C2.17(C2^4:2D5)	320,871
C₂.₁₈(C₂⁴⋊₂D₅) = 2_-¹⁺⁴⋊₂D₅	central stem extension (φ=1)	80	8+	C2.18(C2^4:2D5)	320,872
C₂.₁₉(C₂⁴⋊₂D₅) = 2_-¹⁺⁴.₂D₅	central stem extension (φ=1)	80	8-	C2.19(C2^4:2D5)	320,873

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