Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×Q₁₆

Direct product G=N×Q with N=C₃ and Q=C₆×Q₁₆

		d	ρ	Label	ID
Q₁₆×C₃×C₆		288		Q16xC3xC6	288,831

Semidirect products G=N:Q with N=C₃ and Q=C₆×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×Q₁₆) = C₆×Dic₁₂	φ: C₆×Q₁₆/C₂×C₂₄ → C₂ ⊆ Aut C₃	96		C3:1(C6xQ16)	288,676
C₃⋊₂(C₆×Q₁₆) = C₃×S₃×Q₁₆	φ: C₆×Q₁₆/C₃×Q₁₆ → C₂ ⊆ Aut C₃	96	4	C3:2(C6xQ16)	288,688
C₃⋊₃(C₆×Q₁₆) = C₆×C₃⋊Q₁₆	φ: C₆×Q₁₆/C₆×Q₈ → C₂ ⊆ Aut C₃	96		C3:3(C6xQ16)	288,714

Non-split extensions G=N.Q with N=C₃ and Q=C₆×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆×Q₁₆) = Q₁₆×C₁₈	central extension (φ=1)	288		C3.(C6xQ16)	288,184

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6×Q16