Extensions 1→N→G→Q→1 with N=C₃⋊Dic₃ and Q=S₃

Direct product G=N×Q with N=C₃⋊Dic₃ and Q=S₃

		d	ρ	Label	ID
S₃×C₃⋊Dic₃		72		S3xC3:Dic3	216,124

Semidirect products G=N:Q with N=C₃⋊Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃⋊₁S₃ = C₆.S₃²	φ: S₃/C₁ → S₃ ⊆ Out C₃⋊Dic₃	36	6	C3:Dic3:1S3	216,34
C₃⋊Dic₃⋊₂S₃ = He₃⋊(C₂×C₄)	φ: S₃/C₁ → S₃ ⊆ Out C₃⋊Dic₃	36	6-	C3:Dic3:2S3	216,36
C₃⋊Dic₃⋊₃S₃ = He₃⋊₃D₄	φ: S₃/C₁ → S₃ ⊆ Out C₃⋊Dic₃	36	6	C3:Dic3:3S3	216,37
C₃⋊Dic₃⋊₄S₃ = C₃³⋊₇D₄	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Dic₃	36		C3:Dic3:4S3	216,128
C₃⋊Dic₃⋊₅S₃ = C₃³⋊₉(C₂×C₄)	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3:5S3	216,131
C₃⋊Dic₃⋊₆S₃ = C₃³⋊₉D₄	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3:6S3	216,132
C₃⋊Dic₃⋊₇S₃ = C₃³⋊₈(C₂×C₄)	φ: trivial image	36		C3:Dic3:7S3	216,126

Non-split extensions G=N.Q with N=C₃⋊Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃.S₃ = He₃⋊₂Q₈	φ: S₃/C₁ → S₃ ⊆ Out C₃⋊Dic₃	72	6-	C3:Dic3.S3	216,33
C₃⋊Dic₃.₂S₃ = C₃³⋊₄C₈	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.2S3	216,118
C₃⋊Dic₃.₃S₃ = C₃³⋊₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3.3S3	216,130
C₃⋊Dic₃.₄S₃ = C₃³⋊₅Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3.4S3	216,133

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