Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄○D₁₂

Direct product G=N×Q with N=C₃ and Q=D₄○D₁₂

		d	ρ	Label	ID
C₃×D₄○D₁₂		48	4	C3xD4oD12	288,999

Semidirect products G=N:Q with N=C₃ and Q=D₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄○D₁₂) = D₁₂⋊₂₄D₆	φ: D₄○D₁₂/C₂×D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:1(D4oD12)	288,955
C₃⋊₂(D₄○D₁₂) = D₁₂⋊₂₇D₆	φ: D₄○D₁₂/C₄○D₁₂ → C₂ ⊆ Aut C₃	24	4+	C3:2(D4oD12)	288,956
C₃⋊₃(D₄○D₁₂) = D₁₂⋊₁₃D₆	φ: D₄○D₁₂/S₃×D₄ → C₂ ⊆ Aut C₃	24	8+	C3:3(D4oD12)	288,962
C₃⋊₄(D₄○D₁₂) = D₁₂⋊₁₆D₆	φ: D₄○D₁₂/Q₈⋊₃S₃ → C₂ ⊆ Aut C₃	48	8+	C3:4(D4oD12)	288,968
C₃⋊₅(D₄○D₁₂) = C₆².₁₅₄C₂³	φ: D₄○D₁₂/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	72		C3:5(D4oD12)	288,1014

Non-split extensions G=N.Q with N=C₃ and Q=D₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄○D₁₂) = D₄⋊₈D₁₈	φ: D₄○D₁₂/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	72	4+	C3.(D4oD12)	288,363

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