Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×D₄⋊₂S₃

Direct product G=N×Q with N=C₃ and Q=C₂×D₄⋊₂S₃

		d	ρ	Label	ID
C₆×D₄⋊₂S₃		48		C6xD4:2S3	288,993

Semidirect products G=N:Q with N=C₃ and Q=C₂×D₄⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×D₄⋊₂S₃) = C₂×D₁₂⋊S₃	φ: C₂×D₄⋊₂S₃/C₂×Dic₆ → C₂ ⊆ Aut C₃	48		C3:1(C2xD4:2S3)	288,944
C₃⋊₂(C₂×D₄⋊₂S₃) = C₂×D₁₂⋊₅S₃	φ: C₂×D₄⋊₂S₃/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2xD4:2S3)	288,943
C₃⋊₃(C₂×D₄⋊₂S₃) = S₃×D₄⋊₂S₃	φ: C₂×D₄⋊₂S₃/D₄⋊₂S₃ → C₂ ⊆ Aut C₃	48	8-	C3:3(C2xD4:2S3)	288,959
C₃⋊₄(C₂×D₄⋊₂S₃) = C₂×D₆.₃D₆	φ: C₂×D₄⋊₂S₃/C₂²×Dic₃ → C₂ ⊆ Aut C₃	48		C3:4(C2xD4:2S3)	288,970
C₃⋊₅(C₂×D₄⋊₂S₃) = C₂×D₆.₄D₆	φ: C₂×D₄⋊₂S₃/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:5(C2xD4:2S3)	288,971
C₃⋊₆(C₂×D₄⋊₂S₃) = C₂×C₁₂.D₆	φ: C₂×D₄⋊₂S₃/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3:6(C2xD4:2S3)	288,1008

Non-split extensions G=N.Q with N=C₃ and Q=C₂×D₄⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×D₄⋊₂S₃) = C₂×D₄⋊₂D₉	φ: C₂×D₄⋊₂S₃/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3.(C2xD4:2S3)	288,357

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