Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×SD₁₆

Direct product G=N×Q with N=C₃ and Q=C₆×SD₁₆

		d	ρ	Label	ID
SD₁₆×C₃×C₆		144		SD16xC3xC6	288,830

Semidirect products G=N:Q with N=C₃ and Q=C₆×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×SD₁₆) = C₆×C₂₄⋊C₂	φ: C₆×SD₁₆/C₂×C₂₄ → C₂ ⊆ Aut C₃	96		C3:1(C6xSD16)	288,673
C₃⋊₂(C₆×SD₁₆) = C₃×S₃×SD₁₆	φ: C₆×SD₁₆/C₃×SD₁₆ → C₂ ⊆ Aut C₃	48	4	C3:2(C6xSD16)	288,684
C₃⋊₃(C₆×SD₁₆) = C₆×D₄.S₃	φ: C₆×SD₁₆/C₆×D₄ → C₂ ⊆ Aut C₃	48		C3:3(C6xSD16)	288,704
C₃⋊₄(C₆×SD₁₆) = C₆×Q₈⋊₂S₃	φ: C₆×SD₁₆/C₆×Q₈ → C₂ ⊆ Aut C₃	96		C3:4(C6xSD16)	288,712

Non-split extensions G=N.Q with N=C₃ and Q=C₆×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆×SD₁₆) = SD₁₆×C₁₈	central extension (φ=1)	144		C3.(C6xSD16)	288,183

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