Extensions 1→N→G→Q→1 with N=C₄.Dic₃ and Q=S₃

Direct product G=N×Q with N=C₄.Dic₃ and Q=S₃

		d	ρ	Label	ID
S₃×C₄.Dic₃		48	4	S3xC4.Dic3	288,461

Semidirect products G=N:Q with N=C₄.Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Dic₃⋊₁S₃ = C₁₂.₈₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	48	4	C4.Dic3:1S3	288,218
C₄.Dic₃⋊₂S₃ = C₁₂.D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	48	4	C4.Dic3:2S3	288,206
C₄.Dic₃⋊₃S₃ = C₁₂.₇₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	24	4+	C4.Dic3:3S3	288,207
C₄.Dic₃⋊₄S₃ = D₁₂⋊₄Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	24	4	C4.Dic3:4S3	288,216
C₄.Dic₃⋊₅S₃ = D₁₂.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	48	4	C4.Dic3:5S3	288,463
C₄.Dic₃⋊₆S₃ = C₃⋊C₈⋊₂₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	24	4	C4.Dic3:6S3	288,466
C₄.Dic₃⋊₇S₃ = D₁₂⋊₁₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	24	4+	C4.Dic3:7S3	288,473
C₄.Dic₃⋊₈S₃ = D₁₂.₂₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	48	4	C4.Dic3:8S3	288,478
C₄.Dic₃⋊₉S₃ = D₁₂.₂₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	48	4-	C4.Dic3:9S3	288,479
C₄.Dic₃⋊₁₀S₃ = Dic₆.₂₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	48	4	C4.Dic3:10S3	288,481
C₄.Dic₃⋊₁₁S₃ = C₃⋊C₈.₂₂D₆	φ: trivial image	48	4	C4.Dic3:11S3	288,465

Non-split extensions G=N.Q with N=C₄.Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Dic₃.₁S₃ = C₁₂.₈₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	48	4	C4.Dic3.1S3	288,225
C₄.Dic₃.₂S₃ = C₁₂.₁₄D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	48	4	C4.Dic3.2S3	288,208
C₄.Dic₃.₃S₃ = C₁₂.₇₁D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	48	4-	C4.Dic3.3S3	288,209
C₄.Dic₃.₄S₃ = C₆².₅Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄.Dic₃	48	4	C4.Dic3.4S3	288,226

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