Extensions 1→N→G→Q→1 with N=C₂ and Q=D₆.D₁₀

Direct product G=N×Q with N=C₂ and Q=D₆.D₁₀

		d	ρ	Label	ID
C₂×D₆.D₁₀		240		C2xD6.D10	480,1083

Non-split extensions G=N.Q with N=C₂ and Q=D₆.D₁₀

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(D₆.D₁₀) = (D₅×C₁₂)⋊C₄	central extension (φ=1)	240	C2.1(D6.D10)	480,433
C₂.₂(D₆.D₁₀) = (S₃×C₂₀)⋊₇C₄	central extension (φ=1)	240	C2.2(D6.D10)	480,447
C₂.₃(D₆.D₁₀) = (C₄×D₁₅)⋊₁₀C₄	central extension (φ=1)	240	C2.3(D6.D10)	480,462
C₂.₄(D₆.D₁₀) = C₄×C₁₅⋊D₄	central extension (φ=1)	240	C2.4(D6.D10)	480,515
C₂.₅(D₆.D₁₀) = C₄×C₃⋊D₂₀	central extension (φ=1)	240	C2.5(D6.D10)	480,519
C₂.₆(D₆.D₁₀) = C₄×C₅⋊D₁₂	central extension (φ=1)	240	C2.6(D6.D10)	480,521
C₂.₇(D₆.D₁₀) = C₄×C₁₅⋊Q₈	central extension (φ=1)	480	C2.7(D6.D10)	480,543
C₂.₈(D₆.D₁₀) = Dic₃⋊C₄⋊D₅	central stem extension (φ=1)	240	C2.8(D6.D10)	480,424
C₂.₉(D₆.D₁₀) = D₁₀⋊Dic₆	central stem extension (φ=1)	240	C2.9(D6.D10)	480,425
C₂.₁₀(D₆.D₁₀) = Dic₅.₈D₁₂	central stem extension (φ=1)	240	C2.10(D6.D10)	480,426
C₂.₁₁(D₆.D₁₀) = D₆⋊Dic₅⋊C₂	central stem extension (φ=1)	240	C2.11(D6.D10)	480,427
C₂.₁₂(D₆.D₁₀) = D₆⋊Dic₁₀	central stem extension (φ=1)	240	C2.12(D6.D10)	480,428
C₂.₁₃(D₆.D₁₀) = Dic₃.D₂₀	central stem extension (φ=1)	240	C2.13(D6.D10)	480,429
C₂.₁₄(D₆.D₁₀) = D₃₀.₃₄D₄	central stem extension (φ=1)	240	C2.14(D6.D10)	480,430
C₂.₁₅(D₆.D₁₀) = D₃₀.₃₅D₄	central stem extension (φ=1)	240	C2.15(D6.D10)	480,431
C₂.₁₆(D₆.D₁₀) = (C₄×Dic₃)⋊D₅	central stem extension (φ=1)	240	C2.16(D6.D10)	480,439
C₂.₁₇(D₆.D₁₀) = (C₄×Dic₁₅)⋊C₂	central stem extension (φ=1)	240	C2.17(D6.D10)	480,442
C₂.₁₈(D₆.D₁₀) = D₆⋊Dic₅.C₂	central stem extension (φ=1)	240	C2.18(D6.D10)	480,443
C₂.₁₉(D₆.D₁₀) = C₅⋊(C₄²⋊₃S₃)	central stem extension (φ=1)	240	C2.19(D6.D10)	480,448
C₂.₂₀(D₆.D₁₀) = D₃₀⋊₈Q₈	central stem extension (φ=1)	240	C2.20(D6.D10)	480,453
C₂.₂₁(D₆.D₁₀) = Dic₅.₇Dic₆	central stem extension (φ=1)	480	C2.21(D6.D10)	480,454
C₂.₂₂(D₆.D₁₀) = Dic₃.₃Dic₁₀	central stem extension (φ=1)	480	C2.22(D6.D10)	480,455
C₂.₂₃(D₆.D₁₀) = C₁₀.D₄⋊S₃	central stem extension (φ=1)	240	C2.23(D6.D10)	480,456
C₂.₂₄(D₆.D₁₀) = Dic₁₅.₄Q₈	central stem extension (φ=1)	480	C2.24(D6.D10)	480,458
C₂.₂₅(D₆.D₁₀) = (C₄×Dic₅)⋊S₃	central stem extension (φ=1)	240	C2.25(D6.D10)	480,463
C₂.₂₆(D₆.D₁₀) = D₆⋊C₄⋊D₅	central stem extension (φ=1)	240	C2.26(D6.D10)	480,523
C₂.₂₇(D₆.D₁₀) = D₁₀⋊D₁₂	central stem extension (φ=1)	240	C2.27(D6.D10)	480,524
C₂.₂₈(D₆.D₁₀) = D₁₀⋊C₄⋊S₃	central stem extension (φ=1)	240	C2.28(D6.D10)	480,528
C₂.₂₉(D₆.D₁₀) = D₆⋊D₂₀	central stem extension (φ=1)	240	C2.29(D6.D10)	480,530
C₂.₃₀(D₆.D₁₀) = D₃₀⋊₁₂D₄	central stem extension (φ=1)	240	C2.30(D6.D10)	480,537
C₂.₃₁(D₆.D₁₀) = Dic₁₅.₃₁D₄	central stem extension (φ=1)	240	C2.31(D6.D10)	480,540

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Extensions 1→N→G→Q→1 with N=C2 and Q=D6.D10

Extensions 1→N→G→Q→1 with N=C₂ and Q=D₆.D₁₀