Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₃⋊C₁₆

Direct product G=N×Q with N=C₃ and Q=C₂×C₃⋊C₁₆

		d	ρ	Label	ID
C₆×C₃⋊C₁₆		96		C6xC3:C16	288,245

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₃⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₃⋊C₁₆) = S₃×C₃⋊C₁₆	φ: C₂×C₃⋊C₁₆/C₃⋊C₁₆ → C₂ ⊆ Aut C₃	96	4	C3:1(C2xC3:C16)	288,189
C₃⋊₂(C₂×C₃⋊C₁₆) = C₂×C₂₄.S₃	φ: C₂×C₃⋊C₁₆/C₂×C₂₄ → C₂ ⊆ Aut C₃	288		C3:2(C2xC3:C16)	288,286

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₃⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₃⋊C₁₆) = C₂×C₉⋊C₁₆	φ: C₂×C₃⋊C₁₆/C₂×C₂₄ → C₂ ⊆ Aut C₃	288		C3.(C2xC3:C16)	288,18

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C3⋊C16