Extensions 1→N→G→Q→1 with N=C₂ and Q=C₁₀×C₃⋊D₄

Direct product G=N×Q with N=C₂ and Q=C₁₀×C₃⋊D₄

		d	ρ	Label	ID
C₂×C₁₀×C₃⋊D₄		240		C2xC10xC3:D4	480,1164

Non-split extensions G=N.Q with N=C₂ and Q=C₁₀×C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₁₀×C₃⋊D₄) = C₁₀×Dic₃⋊C₄	central extension (φ=1)	480		C2.1(C10xC3:D4)	480,802
C₂.₂(C₁₀×C₃⋊D₄) = C₁₀×D₆⋊C₄	central extension (φ=1)	240		C2.2(C10xC3:D4)	480,806
C₂.₃(C₁₀×C₃⋊D₄) = C₂₀×C₃⋊D₄	central extension (φ=1)	240		C2.3(C10xC3:D4)	480,807
C₂.₄(C₁₀×C₃⋊D₄) = C₁₀×C₆.D₄	central extension (φ=1)	240		C2.4(C10xC3:D4)	480,831
C₂.₅(C₁₀×C₃⋊D₄) = C₅×C₁₂.₄₈D₄	central stem extension (φ=1)	240		C2.5(C10xC3:D4)	480,803
C₂.₆(C₁₀×C₃⋊D₄) = C₅×C₂³.₂₈D₆	central stem extension (φ=1)	240		C2.6(C10xC3:D4)	480,808
C₂.₇(C₁₀×C₃⋊D₄) = C₅×C₁₂⋊₇D₄	central stem extension (φ=1)	240		C2.7(C10xC3:D4)	480,809
C₂.₈(C₁₀×C₃⋊D₄) = C₁₀×D₄⋊S₃	central stem extension (φ=1)	240		C2.8(C10xC3:D4)	480,810
C₂.₉(C₁₀×C₃⋊D₄) = C₅×D₁₂⋊₆C₂²	central stem extension (φ=1)	120	4	C2.9(C10xC3:D4)	480,811
C₂.₁₀(C₁₀×C₃⋊D₄) = C₁₀×D₄.S₃	central stem extension (φ=1)	240		C2.10(C10xC3:D4)	480,812
C₂.₁₁(C₁₀×C₃⋊D₄) = C₅×C₂³.₂₃D₆	central stem extension (φ=1)	240		C2.11(C10xC3:D4)	480,814
C₂.₁₂(C₁₀×C₃⋊D₄) = C₅×C₂³.₁₂D₆	central stem extension (φ=1)	240		C2.12(C10xC3:D4)	480,815
C₂.₁₃(C₁₀×C₃⋊D₄) = C₅×C₂³⋊₂D₆	central stem extension (φ=1)	120		C2.13(C10xC3:D4)	480,816
C₂.₁₄(C₁₀×C₃⋊D₄) = C₅×D₆⋊₃D₄	central stem extension (φ=1)	240		C2.14(C10xC3:D4)	480,817
C₂.₁₅(C₁₀×C₃⋊D₄) = C₅×C₂³.₁₄D₆	central stem extension (φ=1)	240		C2.15(C10xC3:D4)	480,818
C₂.₁₆(C₁₀×C₃⋊D₄) = C₅×C₁₂⋊₃D₄	central stem extension (φ=1)	240		C2.16(C10xC3:D4)	480,819
C₂.₁₇(C₁₀×C₃⋊D₄) = C₁₀×Q₈⋊₂S₃	central stem extension (φ=1)	240		C2.17(C10xC3:D4)	480,820
C₂.₁₈(C₁₀×C₃⋊D₄) = C₅×Q₈.₁₁D₆	central stem extension (φ=1)	240	4	C2.18(C10xC3:D4)	480,821
C₂.₁₉(C₁₀×C₃⋊D₄) = C₁₀×C₃⋊Q₁₆	central stem extension (φ=1)	480		C2.19(C10xC3:D4)	480,822
C₂.₂₀(C₁₀×C₃⋊D₄) = C₅×Dic₃⋊Q₈	central stem extension (φ=1)	480		C2.20(C10xC3:D4)	480,823
C₂.₂₁(C₁₀×C₃⋊D₄) = C₅×D₆⋊₃Q₈	central stem extension (φ=1)	240		C2.21(C10xC3:D4)	480,825
C₂.₂₂(C₁₀×C₃⋊D₄) = C₅×C₁₂.₂₃D₄	central stem extension (φ=1)	240		C2.22(C10xC3:D4)	480,826
C₂.₂₃(C₁₀×C₃⋊D₄) = C₅×D₄⋊D₆	central stem extension (φ=1)	120	4	C2.23(C10xC3:D4)	480,828
C₂.₂₄(C₁₀×C₃⋊D₄) = C₅×Q₈.₁₃D₆	central stem extension (φ=1)	240	4	C2.24(C10xC3:D4)	480,829
C₂.₂₅(C₁₀×C₃⋊D₄) = C₅×Q₈.₁₄D₆	central stem extension (φ=1)	240	4	C2.25(C10xC3:D4)	480,830
C₂.₂₆(C₁₀×C₃⋊D₄) = C₅×C₂⁴⋊₄S₃	central stem extension (φ=1)	120		C2.26(C10xC3:D4)	480,832

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Extensions 1→N→G→Q→1 with N=C2 and Q=C10×C3⋊D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₁₀×C₃⋊D₄