Extensions 1→N→G→Q→1 with N=C₃ and Q=D₈.S₃

Direct product G=N×Q with N=C₃ and Q=D₈.S₃

		d	ρ	Label	ID
C₃×D₈.S₃		48	4	C3xD8.S3	288,261

Semidirect products G=N:Q with N=C₃ and Q=D₈.S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₈.S₃) = C₃²⋊₃SD₃₂	φ: D₈.S₃/C₃⋊C₁₆ → C₂ ⊆ Aut C₃	96	4-	C3:1(D8.S3)	288,196
C₃⋊₂(D₈.S₃) = D₂₄.S₃	φ: D₈.S₃/Dic₁₂ → C₂ ⊆ Aut C₃	96	4	C3:2(D8.S3)	288,195
C₃⋊₃(D₈.S₃) = C₃²⋊₈SD₃₂	φ: D₈.S₃/C₃×D₈ → C₂ ⊆ Aut C₃	144		C3:3(D8.S3)	288,302

Non-split extensions G=N.Q with N=C₃ and Q=D₈.S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₈.S₃) = D₈.D₉	φ: D₈.S₃/C₃×D₈ → C₂ ⊆ Aut C₃	144	4-	C3.(D8.S3)	288,34

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Extensions 1→N→G→Q→1 with N=C3 and Q=D8.S3