Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₆D₆

Direct product G=N×Q with N=C₃ and Q=C₂³.₆D₆

		d	ρ	Label	ID
C₃×C₂³.₆D₆		24	4	C3xC2^3.6D6	288,240

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₆D₆) = C₆².₃₂D₄	φ: C₂³.₆D₆/C₆.D₄ → C₂ ⊆ Aut C₃	24	4	C3:1(C2^3.6D6)	288,229
C₃⋊₂(C₂³.₆D₆) = C₆².₁₁₀D₄	φ: C₂³.₆D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	72		C3:2(C2^3.6D6)	288,281
C₃⋊₃(C₂³.₆D₆) = C₆².₃₁D₄	φ: C₂³.₆D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	24	4	C3:3(C2^3.6D6)	288,228

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₆D₆) = C₂².D₃₆	φ: C₂³.₆D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	72	4	C3.(C2^3.6D6)	288,13

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Extensions 1→N→G→Q→1 with N=C3 and Q=C23.6D6