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

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

		d	ρ	Label	ID
C₃×D₄⋊₂S₃		24	4	C3xD4:2S3	144,163

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊₂S₃) = D₁₂⋊S₃	φ: D₄⋊₂S₃/Dic₆ → C₂ ⊆ Aut C₃	24	4	C3:1(D4:2S3)	144,139
C₃⋊₂(D₄⋊₂S₃) = D₁₂⋊₅S₃	φ: D₄⋊₂S₃/C₄×S₃ → C₂ ⊆ Aut C₃	48	4-	C3:2(D4:2S3)	144,138
C₃⋊₃(D₄⋊₂S₃) = D₆.₃D₆	φ: D₄⋊₂S₃/C₂×Dic₃ → C₂ ⊆ Aut C₃	24	4	C3:3(D4:2S3)	144,147
C₃⋊₄(D₄⋊₂S₃) = D₆.₄D₆	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₃	24	4-	C3:4(D4:2S3)	144,148
C₃⋊₅(D₄⋊₂S₃) = C₁₂.D₆	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₃	72		C3:5(D4:2S3)	144,173

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄⋊₂S₃) = D₄⋊₂D₉	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₃	72	4-	C3.(D4:2S3)	144,42

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