Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³⋊D₁₀

Direct product G=N×Q with N=C₂ and Q=C₂³⋊D₁₀

		d	ρ	Label	ID
C₂×C₂³⋊D₁₀		80		C2xC2^3:D10	320,1471

Non-split extensions G=N.Q with N=C₂ and Q=C₂³⋊D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³⋊D₁₀) = C₂⁴.₄₆D₁₀	central extension (φ=1)	160		C2.1(C2^3:D10)	320,573
C₂.₂(C₂³⋊D₁₀) = C₂⁴.₄₈D₁₀	central extension (φ=1)	80		C2.2(C2^3:D10)	320,582
C₂.₃(C₂³⋊D₁₀) = C₂⁴.₁₂D₁₀	central extension (φ=1)	160		C2.3(C2^3:D10)	320,583
C₂.₄(C₂³⋊D₁₀) = D₁₀⋊₅(C₄⋊C₄)	central extension (φ=1)	160		C2.4(C2^3:D10)	320,616
C₂.₅(C₂³⋊D₁₀) = C₂⁴.₁₈D₁₀	central extension (φ=1)	160		C2.5(C2^3:D10)	320,847
C₂.₆(C₂³⋊D₁₀) = C₂³⋊Dic₁₀	central stem extension (φ=1)	160		C2.6(C2^3:D10)	320,574
C₂.₇(C₂³⋊D₁₀) = C₂⁴.₁₄D₁₀	central stem extension (φ=1)	160		C2.7(C2^3:D10)	320,586
C₂.₈(C₂³⋊D₁₀) = C₂³⋊₂D₂₀	central stem extension (φ=1)	160		C2.8(C2^3:D10)	320,587
C₂.₉(C₂³⋊D₁₀) = (C₂×C₄)⋊Dic₁₀	central stem extension (φ=1)	320		C2.9(C2^3:D10)	320,606
C₂.₁₀(C₂³⋊D₁₀) = (C₂×C₄)⋊₃D₂₀	central stem extension (φ=1)	160		C2.10(C2^3:D10)	320,618
C₂.₁₁(C₂³⋊D₁₀) = C₂⁴⋊₂D₁₀	central stem extension (φ=1)	40	4	C2.11(C2^3:D10)	320,659
C₂.₁₂(C₂³⋊D₁₀) = D₂₀⋊₁₆D₄	central stem extension (φ=1)	80		C2.12(C2^3:D10)	320,663
C₂.₁₃(C₂³⋊D₁₀) = D₂₀⋊₁₇D₄	central stem extension (φ=1)	160		C2.13(C2^3:D10)	320,664
C₂.₁₄(C₂³⋊D₁₀) = Dic₁₀⋊₁₇D₄	central stem extension (φ=1)	160		C2.14(C2^3:D10)	320,667
C₂.₁₅(C₂³⋊D₁₀) = D₂₀.₃₆D₄	central stem extension (φ=1)	80		C2.15(C2^3:D10)	320,673
C₂.₁₆(C₂³⋊D₁₀) = D₂₀.₃₇D₄	central stem extension (φ=1)	160		C2.16(C2^3:D10)	320,674
C₂.₁₇(C₂³⋊D₁₀) = Dic₁₀.₃₇D₄	central stem extension (φ=1)	160		C2.17(C2^3:D10)	320,677
C₂.₁₈(C₂³⋊D₁₀) = C₂²⋊C₄⋊D₁₀	central stem extension (φ=1)	80	4	C2.18(C2^3:D10)	320,680
C₂.₁₉(C₂³⋊D₁₀) = C₄²⋊₅D₁₀	central stem extension (φ=1)	80	4	C2.19(C2^3:D10)	320,688
C₂.₂₀(C₂³⋊D₁₀) = D₂₀.₁₄D₄	central stem extension (φ=1)	80	4	C2.20(C2^3:D10)	320,689
C₂.₂₁(C₂³⋊D₁₀) = D₂₀⋊₅D₄	central stem extension (φ=1)	40	4	C2.21(C2^3:D10)	320,704
C₂.₂₂(C₂³⋊D₁₀) = D₂₀.₁₅D₄	central stem extension (φ=1)	80	4	C2.22(C2^3:D10)	320,722
C₂.₂₃(C₂³⋊D₁₀) = D₂₀⋊D₄	central stem extension (φ=1)	80		C2.23(C2^3:D10)	320,783
C₂.₂₄(C₂³⋊D₁₀) = Dic₁₀⋊D₄	central stem extension (φ=1)	160		C2.24(C2^3:D10)	320,785
C₂.₂₅(C₂³⋊D₁₀) = D₁₀⋊₆SD₁₆	central stem extension (φ=1)	80		C2.25(C2^3:D10)	320,796
C₂.₂₆(C₂³⋊D₁₀) = D₁₀⋊₈SD₁₆	central stem extension (φ=1)	160		C2.26(C2^3:D10)	320,797
C₂.₂₇(C₂³⋊D₁₀) = D₂₀⋊₇D₄	central stem extension (φ=1)	160		C2.27(C2^3:D10)	320,799
C₂.₂₈(C₂³⋊D₁₀) = Dic₁₀.₁₆D₄	central stem extension (φ=1)	160		C2.28(C2^3:D10)	320,800
C₂.₂₉(C₂³⋊D₁₀) = D₁₀⋊₅Q₁₆	central stem extension (φ=1)	160		C2.29(C2^3:D10)	320,813
C₂.₃₀(C₂³⋊D₁₀) = D₂₀.₁₇D₄	central stem extension (φ=1)	160		C2.30(C2^3:D10)	320,814
C₂.₃₁(C₂³⋊D₁₀) = D₂₀⋊₁₈D₄	central stem extension (φ=1)	40	8+	C2.31(C2^3:D10)	320,825
C₂.₃₂(C₂³⋊D₁₀) = D₂₀.₃₈D₄	central stem extension (φ=1)	80	8-	C2.32(C2^3:D10)	320,828
C₂.₃₃(C₂³⋊D₁₀) = D₂₀.₃₉D₄	central stem extension (φ=1)	80	8+	C2.33(C2^3:D10)	320,829
C₂.₃₄(C₂³⋊D₁₀) = D₂₀.₄₀D₄	central stem extension (φ=1)	80	8-	C2.34(C2^3:D10)	320,832
C₂.₃₅(C₂³⋊D₁₀) = C₂⁴.₂₁D₁₀	central stem extension (φ=1)	160		C2.35(C2^3:D10)	320,850

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Extensions 1→N→G→Q→1 with N=C2 and Q=C23⋊D10

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³⋊D₁₀