Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂₀⋊D₆

Direct product G=N×Q with N=C₂ and Q=C₂₀⋊D₆

		d	ρ	Label	ID
C₂×C₂₀⋊D₆		120		C2xC20:D6	480,1089

Non-split extensions G=N.Q with N=C₂ and Q=C₂₀⋊D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂₀⋊D₆) = D₂₀⋊₈Dic₃	central extension (φ=1)	240		C2.1(C20:D6)	480,510
C₂.₂(C₂₀⋊D₆) = Dic₁₅⋊₈D₄	central extension (φ=1)	240		C2.2(C20:D6)	480,511
C₂.₃(C₂₀⋊D₆) = D₃₀.₂Q₈	central extension (φ=1)	240		C2.3(C20:D6)	480,513
C₂.₄(C₂₀⋊D₆) = Dic₁₅⋊₉D₄	central extension (φ=1)	240		C2.4(C20:D6)	480,518
C₂.₅(C₂₀⋊D₆) = D₃₀.₂₇D₄	central extension (φ=1)	120		C2.5(C20:D6)	480,549
C₂.₆(C₂₀⋊D₆) = C₄₀⋊₁₄D₆	central stem extension (φ=1)	120	4	C2.6(C20:D6)	480,331
C₂.₇(C₂₀⋊D₆) = C₄₀⋊₅D₆	central stem extension (φ=1)	120	4	C2.7(C20:D6)	480,332
C₂.₈(C₂₀⋊D₆) = D₂₄⋊₆D₅	central stem extension (φ=1)	120	4	C2.8(C20:D6)	480,333
C₂.₉(C₂₀⋊D₆) = C₄₀⋊₈D₆	central stem extension (φ=1)	120	4	C2.9(C20:D6)	480,334
C₂.₁₀(C₂₀⋊D₆) = Dic₁₀.D₆	central stem extension (φ=1)	240	4	C2.10(C20:D6)	480,340
C₂.₁₁(C₂₀⋊D₆) = Dic₆.D₁₀	central stem extension (φ=1)	240	4	C2.11(C20:D6)	480,352
C₂.₁₂(C₂₀⋊D₆) = D₄₀⋊₅S₃	central stem extension (φ=1)	240	4	C2.12(C20:D6)	480,353
C₂.₁₃(C₂₀⋊D₆) = D₃₀.₃D₄	central stem extension (φ=1)	240	4	C2.13(C20:D6)	480,354
C₂.₁₄(C₂₀⋊D₆) = D₂₄⋊₅D₅	central stem extension (φ=1)	240	4	C2.14(C20:D6)	480,355
C₂.₁₅(C₂₀⋊D₆) = D₃₀.₄D₄	central stem extension (φ=1)	240	4	C2.15(C20:D6)	480,356
C₂.₁₆(C₂₀⋊D₆) = D₃₀.D₄	central stem extension (φ=1)	240		C2.16(C20:D6)	480,432
C₂.₁₇(C₂₀⋊D₆) = Dic₁₅⋊D₄	central stem extension (φ=1)	240		C2.17(C20:D6)	480,484
C₂.₁₈(C₂₀⋊D₆) = Dic₁₅.D₄	central stem extension (φ=1)	240		C2.18(C20:D6)	480,506
C₂.₁₉(C₂₀⋊D₆) = D₆⋊₄Dic₁₀	central stem extension (φ=1)	240		C2.19(C20:D6)	480,512
C₂.₂₀(C₂₀⋊D₆) = D₃₀.₇D₄	central stem extension (φ=1)	240		C2.20(C20:D6)	480,514
C₂.₂₁(C₂₀⋊D₆) = Dic₁₅⋊₂D₄	central stem extension (φ=1)	240		C2.21(C20:D6)	480,529
C₂.₂₂(C₂₀⋊D₆) = D₃₀⋊₁₂D₄	central stem extension (φ=1)	240		C2.22(C20:D6)	480,537
C₂.₂₃(C₂₀⋊D₆) = C₆₀⋊₁₀D₄	central stem extension (φ=1)	240		C2.23(C20:D6)	480,539
C₂.₂₄(C₂₀⋊D₆) = Dic₁₅.₃₁D₄	central stem extension (φ=1)	240		C2.24(C20:D6)	480,540
C₂.₂₅(C₂₀⋊D₆) = C₁₂⋊₂D₂₀	central stem extension (φ=1)	240		C2.25(C20:D6)	480,541
C₂.₂₆(C₂₀⋊D₆) = C₂₀⋊₂D₁₂	central stem extension (φ=1)	240		C2.26(C20:D6)	480,542
C₂.₂₇(C₂₀⋊D₆) = C₂₀⋊Dic₆	central stem extension (φ=1)	480		C2.27(C20:D6)	480,546
C₂.₂₈(C₂₀⋊D₆) = D₆⋊₄D₂₀	central stem extension (φ=1)	120		C2.28(C20:D6)	480,550
C₂.₂₉(C₂₀⋊D₆) = D₃₀⋊₄D₄	central stem extension (φ=1)	120		C2.29(C20:D6)	480,551

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Extensions 1→N→G→Q→1 with N=C2 and Q=C20⋊D6

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂₀⋊D₆