Extensions 1→N→G→Q→1 with N=C₃ and Q=C₈○D₁₂

Direct product G=N×Q with N=C₃ and Q=C₈○D₁₂

		d	ρ	Label	ID
C₃×C₈○D₁₂		48	2	C3xC8oD12	288,672

Semidirect products G=N:Q with N=C₃ and Q=C₈○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈○D₁₂) = C₂₄.₆₃D₆	φ: C₈○D₁₂/S₃×C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C8oD12)	288,451
C₃⋊₂(C₈○D₁₂) = C₂₄.₆₄D₆	φ: C₈○D₁₂/C₈⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:2(C8oD12)	288,452
C₃⋊₃(C₈○D₁₂) = C₃⋊C₈.₂₂D₆	φ: C₈○D₁₂/C₄.Dic₃ → C₂ ⊆ Aut C₃	48	4	C3:3(C8oD12)	288,465
C₃⋊₄(C₈○D₁₂) = C₂₄.₉₅D₆	φ: C₈○D₁₂/C₂×C₂₄ → C₂ ⊆ Aut C₃	144		C3:4(C8oD12)	288,758
C₃⋊₅(C₈○D₁₂) = D₁₂.₂Dic₃	φ: C₈○D₁₂/C₄○D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:5(C8oD12)	288,462

Non-split extensions G=N.Q with N=C₃ and Q=C₈○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₈○D₁₂) = D₃₆.₂C₄	φ: C₈○D₁₂/C₂×C₂₄ → C₂ ⊆ Aut C₃	144	2	C3.(C8oD12)	288,112

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