Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×Dic₁₂

Direct product G=N×Q with N=C₃ and Q=C₂×Dic₁₂

		d	ρ	Label	ID
C₆×Dic₁₂		96		C6xDic12	288,676

Semidirect products G=N:Q with N=C₃ and Q=C₂×Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×Dic₁₂) = S₃×Dic₁₂	φ: C₂×Dic₁₂/Dic₁₂ → C₂ ⊆ Aut C₃	96	4-	C3:1(C2xDic12)	288,447
C₃⋊₂(C₂×Dic₁₂) = C₂×C₃²⋊₅Q₁₆	φ: C₂×Dic₁₂/C₂×C₂₄ → C₂ ⊆ Aut C₃	288		C3:2(C2xDic12)	288,762
C₃⋊₃(C₂×Dic₁₂) = C₂×C₃²⋊₃Q₁₆	φ: C₂×Dic₁₂/C₂×Dic₆ → C₂ ⊆ Aut C₃	96		C3:3(C2xDic12)	288,483

Non-split extensions G=N.Q with N=C₃ and Q=C₂×Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×Dic₁₂) = C₂×Dic₃₆	φ: C₂×Dic₁₂/C₂×C₂₄ → C₂ ⊆ Aut C₃	288		C3.(C2xDic12)	288,109

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×Dic12