Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₁₆D₆

Direct product G=N×Q with N=C₃ and Q=C₂³.₁₆D₆

		d	ρ	Label	ID
C₃×C₂³.₁₆D₆		48		C3xC2^3.16D6	288,648

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₁₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₁₆D₆) = C₆².₄₇C₂³	φ: C₂³.₁₆D₆/C₄×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(C2^3.16D6)	288,525
C₃⋊₂(C₂³.₁₆D₆) = C₆².₄₈C₂³	φ: C₂³.₁₆D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.16D6)	288,526
C₃⋊₃(C₂³.₁₆D₆) = C₆².₉₉C₂³	φ: C₂³.₁₆D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:3(C2^3.16D6)	288,605
C₃⋊₄(C₂³.₁₆D₆) = C₆².₂₂₁C₂³	φ: C₂³.₁₆D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3:4(C2^3.16D6)	288,734
C₃⋊₅(C₂³.₁₆D₆) = C₆².₉₇C₂³	φ: C₂³.₁₆D₆/C₂²×Dic₃ → C₂ ⊆ Aut C₃	48		C3:5(C2^3.16D6)	288,603

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₁₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₁₆D₆) = C₂³.₁₆D₁₈	φ: C₂³.₁₆D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(C2^3.16D6)	288,87

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