Extensions 1→N→G→Q→1 with N=C₄⋊Dic₅ and Q=S₃

Direct product G=N×Q with N=C₄⋊Dic₅ and Q=S₃

		d	ρ	Label	ID
S₃×C₄⋊Dic₅		240		S3xC4:Dic5	480,502

Semidirect products G=N:Q with N=C₄⋊Dic₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊Dic₅⋊₁S₃ = D₆₀⋊₁₂C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:1S3	480,44
C₄⋊Dic₅⋊₂S₃ = D₆⋊C₄.D₅	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:2S3	480,417
C₄⋊Dic₅⋊₃S₃ = C₄⋊Dic₅⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:3S3	480,421
C₄⋊Dic₅⋊₄S₃ = C₆₀.₄₅D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:4S3	480,441
C₄⋊Dic₅⋊₅S₃ = D₆.D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:5S3	480,503
C₄⋊Dic₅⋊₆S₃ = D₃₀⋊₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:6S3	480,505
C₄⋊Dic₅⋊₇S₃ = D₆⋊₄Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:7S3	480,512
C₄⋊Dic₅⋊₈S₃ = D₃₀.₇D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:8S3	480,514
C₄⋊Dic₅⋊₉S₃ = C₆₀⋊₆D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:9S3	480,536
C₄⋊Dic₅⋊₁₀S₃ = D₁₂⋊Dic₅	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:10S3	480,42
C₄⋊Dic₅⋊₁₁S₃ = (C₄×D₁₅)⋊₈C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:11S3	480,423
C₄⋊Dic₅⋊₁₂S₃ = D₃₀⋊₉Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:12S3	480,459
C₄⋊Dic₅⋊₁₃S₃ = Dic₁₅⋊₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:13S3	480,511
C₄⋊Dic₅⋊₁₄S₃ = D₃₀.₂Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:14S3	480,513
C₄⋊Dic₅⋊₁₅S₃ = C₂₀⋊₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	240		C4:Dic5:15S3	480,542
C₄⋊Dic₅⋊₁₆S₃ = (S₃×C₂₀)⋊₅C₄	φ: trivial image	240		C4:Dic5:16S3	480,414
C₄⋊Dic₅⋊₁₇S₃ = D₆₀⋊₁₄C₄	φ: trivial image	240		C4:Dic5:17S3	480,504

Non-split extensions G=N.Q with N=C₄⋊Dic₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊Dic₅.₁S₃ = Dic₃₀⋊₁₂C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.1S3	480,50
C₄⋊Dic₅.₂S₃ = C₆₀.Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.2S3	480,63
C₄⋊Dic₅.₃S₃ = C₆₀.₅Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.3S3	480,66
C₄⋊Dic₅.₄S₃ = Dic₁₅.₂Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.4S3	480,415
C₄⋊Dic₅.₅S₃ = Dic₃.₂Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.5S3	480,422
C₄⋊Dic₅.₆S₃ = C₆₀.₆Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.6S3	480,457
C₄⋊Dic₅.₇S₃ = C₂₀⋊₄Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.7S3	480,545
C₄⋊Dic₅.₈S₃ = Dic₆⋊Dic₅	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.8S3	480,48
C₄⋊Dic₅.₉S₃ = C₃₀.SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.9S3	480,62
C₄⋊Dic₅.₁₀S₃ = C₃₀.₂₀D₈	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.10S3	480,65
C₄⋊Dic₅.₁₁S₃ = Dic₁₅⋊₇Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.11S3	480,420
C₄⋊Dic₅.₁₂S₃ = C₁₂.Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.12S3	480,460
C₄⋊Dic₅.₁₃S₃ = C₂₀⋊Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄⋊Dic₅	480		C4:Dic5.13S3	480,546
C₄⋊Dic₅.₁₄S₃ = Dic₃₀⋊₁₄C₄	φ: trivial image	480		C4:Dic5.14S3	480,416

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