Extensions 1→N→G→Q→1 with N=C₁₀.D₄ and Q=S₃

Direct product G=N×Q with N=C₁₀.D₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₁₀.D₄		240		S3xC10.D4	480,475

Semidirect products G=N:Q with N=C₁₀.D₄ and Q=S₃

extension	φ:Q→Out N	d	Label	ID
C₁₀.D₄⋊₁S₃ = D₆⋊Dic₅⋊C₂	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:1S3	480,427
C₁₀.D₄⋊₂S₃ = D₆⋊Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:2S3	480,428
C₁₀.D₄⋊₃S₃ = C₁₀.D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:3S3	480,456
C₁₀.D₄⋊₄S₃ = C₆₀⋊₅C₄⋊C₂	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:4S3	480,418
C₁₀.D₄⋊₅S₃ = D₆⋊₂Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:5S3	480,493
C₁₀.D₄⋊₆S₃ = D₃₀⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:6S3	480,496
C₁₀.D₄⋊₇S₃ = D₆⋊₃Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:7S3	480,508
C₁₀.D₄⋊₈S₃ = D₃₀.₆D₄	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:8S3	480,509
C₁₀.D₄⋊₉S₃ = D₃₀.₃₅D₄	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:9S3	480,431
C₁₀.D₄⋊₁₀S₃ = D₆⋊Dic₅.C₂	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:10S3	480,443
C₁₀.D₄⋊₁₁S₃ = D₃₀⋊₈Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:11S3	480,453
C₁₀.D₄⋊₁₂S₃ = (S₃×Dic₅)⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:12S3	480,476
C₁₀.D₄⋊₁₃S₃ = D₃₀.Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:13S3	480,480
C₁₀.D₄⋊₁₄S₃ = Dic₁₅⋊₁₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:14S3	480,482
C₁₀.D₄⋊₁₅S₃ = C₄⋊Dic₃⋊D₅	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:15S3	480,413
C₁₀.D₄⋊₁₆S₃ = Dic₅⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:16S3	480,492
C₁₀.D₄⋊₁₇S₃ = D₃₀⋊₂Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:17S3	480,495
C₁₀.D₄⋊₁₈S₃ = (C₂×D₁₂).D₅	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:18S3	480,499
C₁₀.D₄⋊₁₉S₃ = D₃₀⋊₃Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	240	C10.D4:19S3	480,500
C₁₀.D₄⋊₂₀S₃ = D₃₀.₂₃(C₂×C₄)	φ: trivial image	240	C10.D4:20S3	480,479
C₁₀.D₄⋊₂₁S₃ = C₁₅⋊₂₂(C₄×D₄)	φ: trivial image	240	C10.D4:21S3	480,522

Non-split extensions G=N.Q with N=C₁₀.D₄ and Q=S₃

extension	φ:Q→Out N	d	Label	ID
C₁₀.D₄.₁S₃ = Dic₃.₃Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	480	C10.D4.1S3	480,455
C₁₀.D₄.₂S₃ = Dic₃⋊Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	480	C10.D4.2S3	480,404
C₁₀.D₄.₃S₃ = Dic₅.₁Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	480	C10.D4.3S3	480,410
C₁₀.D₄.₄S₃ = Dic₃.Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	480	C10.D4.4S3	480,419
C₁₀.D₄.₅S₃ = Dic₁₅⋊₅Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	480	C10.D4.5S3	480,401
C₁₀.D₄.₆S₃ = Dic₁₅.₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	480	C10.D4.6S3	480,458
C₁₀.D₄.₇S₃ = Dic₁₅⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	480	C10.D4.7S3	480,405
C₁₀.D₄.₈S₃ = Dic₅.₂Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	480	C10.D4.8S3	480,411
C₁₀.D₄.₉S₃ = Dic₁₅.Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₁₀.D₄	480	C10.D4.9S3	480,412
C₁₀.D₄.₁₀S₃ = Dic₃⋊₅Dic₁₀	φ: trivial image	480	C10.D4.10S3	480,400

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Extensions 1→N→G→Q→1 with N=C10.D4 and Q=S3

Extensions 1→N→G→Q→1 with N=C₁₀.D₄ and Q=S₃