Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄○D₁₂

Direct product G=N×Q with N=C₃ and Q=C₄○D₁₂

		d	ρ	Label	ID
C₃×C₄○D₁₂		24	2	C3xC4oD12	144,161

Semidirect products G=N:Q with N=C₃ and Q=C₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄○D₁₂) = D₆.₆D₆	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₃	24	4+	C3:1(C4oD12)	144,142
C₃⋊₂(C₄○D₁₂) = D₆.D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₃	24	4	C3:2(C4oD12)	144,141
C₃⋊₃(C₄○D₁₂) = D₁₂⋊₅S₃	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₃	48	4-	C3:3(C4oD12)	144,138
C₃⋊₄(C₄○D₁₂) = D₆.₃D₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₃	24	4	C3:4(C4oD12)	144,147
C₃⋊₅(C₄○D₁₂) = C₁₂.₅₉D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₃	72		C3:5(C4oD12)	144,171

Non-split extensions G=N.Q with N=C₃ and Q=C₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄○D₁₂) = D₃₆⋊₅C₂	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₃	72	2	C3.(C4oD12)	144,40

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