Extensions 1→N→G→Q→1 with N=C₂ and Q=D₂₀⋊₅S₃

Direct product G=N×Q with N=C₂ and Q=D₂₀⋊₅S₃

		d	ρ	Label	ID
C₂×D₂₀⋊₅S₃		240		C2xD20:5S3	480,1074

Non-split extensions G=N.Q with N=C₂ and Q=D₂₀⋊₅S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₂₀⋊₅S₃) = (S₃×C₂₀)⋊₅C₄	central extension (φ=1)	240		C2.1(D20:5S3)	480,414
C₂.₂(D₂₀⋊₅S₃) = Dic₃₀⋊₁₄C₄	central extension (φ=1)	480		C2.2(D20:5S3)	480,416
C₂.₃(D₂₀⋊₅S₃) = (D₅×Dic₃)⋊C₄	central extension (φ=1)	240		C2.3(D20:5S3)	480,469
C₂.₄(D₂₀⋊₅S₃) = Dic₃×D₂₀	central extension (φ=1)	240		C2.4(D20:5S3)	480,501
C₂.₅(D₂₀⋊₅S₃) = C₁₅⋊₁₇(C₄×D₄)	central extension (φ=1)	240		C2.5(D20:5S3)	480,517
C₂.₆(D₂₀⋊₅S₃) = Dic₁₅.₂Q₈	central stem extension (φ=1)	480		C2.6(D20:5S3)	480,415
C₂.₇(D₂₀⋊₅S₃) = D₆⋊C₄.D₅	central stem extension (φ=1)	240		C2.7(D20:5S3)	480,417
C₂.₈(D₂₀⋊₅S₃) = (C₂×C₆₀).C₂²	central stem extension (φ=1)	240		C2.8(D20:5S3)	480,438
C₂.₉(D₂₀⋊₅S₃) = (C₄×Dic₃)⋊D₅	central stem extension (φ=1)	240		C2.9(D20:5S3)	480,439
C₂.₁₀(D₂₀⋊₅S₃) = C₆₀.₄₄D₄	central stem extension (φ=1)	240		C2.10(D20:5S3)	480,440
C₂.₁₁(D₂₀⋊₅S₃) = C₆₀.₄₅D₄	central stem extension (φ=1)	240		C2.11(D20:5S3)	480,441
C₂.₁₂(D₂₀⋊₅S₃) = C₆₀.₆Q₈	central stem extension (φ=1)	480		C2.12(D20:5S3)	480,457
C₂.₁₃(D₂₀⋊₅S₃) = (C₆×D₅).D₄	central stem extension (φ=1)	240		C2.13(D20:5S3)	480,483
C₂.₁₄(D₂₀⋊₅S₃) = Dic₁₅⋊D₄	central stem extension (φ=1)	240		C2.14(D20:5S3)	480,484
C₂.₁₅(D₂₀⋊₅S₃) = D₁₀.₁₇D₁₂	central stem extension (φ=1)	240		C2.15(D20:5S3)	480,490
C₂.₁₆(D₂₀⋊₅S₃) = D₁₀⋊₄Dic₆	central stem extension (φ=1)	240		C2.16(D20:5S3)	480,507
C₂.₁₇(D₂₀⋊₅S₃) = D₁₀⋊C₄⋊S₃	central stem extension (φ=1)	240		C2.17(D20:5S3)	480,528
C₂.₁₈(D₂₀⋊₅S₃) = C₆₀⋊₄D₄	central stem extension (φ=1)	240		C2.18(D20:5S3)	480,532
C₂.₁₉(D₂₀⋊₅S₃) = Dic₁₅.₁₀D₄	central stem extension (φ=1)	240		C2.19(D20:5S3)	480,538

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁