Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xSD₁₆

Direct product G=NxQ with N=C₃ and Q=C₆xSD₁₆

		d	ρ	Label	ID
SD₁₆xC₃xC₆		144		SD16xC3xC6	288,830

Semidirect products G=N:Q with N=C₃ and Q=C₆xSD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆xSD₁₆) = C₆xC₂₄:C₂	φ: C₆xSD₁₆/C₂xC₂₄ → C₂ ⊆ Aut C₃	96		C3:1(C6xSD16)	288,673
C₃:₂(C₆xSD₁₆) = C₃xS₃xSD₁₆	φ: C₆xSD₁₆/C₃xSD₁₆ → C₂ ⊆ Aut C₃	48	4	C3:2(C6xSD16)	288,684
C₃:₃(C₆xSD₁₆) = C₆xD₄.S₃	φ: C₆xSD₁₆/C₆xD₄ → C₂ ⊆ Aut C₃	48		C3:3(C6xSD16)	288,704
C₃:₄(C₆xSD₁₆) = C₆xQ₈:₂S₃	φ: C₆xSD₁₆/C₆xQ₈ → C₂ ⊆ Aut C₃	96		C3:4(C6xSD16)	288,712

Non-split extensions G=N.Q with N=C₃ and Q=C₆xSD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆xSD₁₆) = SD₁₆xC₁₈	central extension (φ=1)	144		C3.(C6xSD16)	288,183

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