Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₃⋊Q₁₆

Direct product G=N×Q with N=C₃ and Q=C₂×C₃⋊Q₁₆

		d	ρ	Label	ID
C₆×C₃⋊Q₁₆		96		C6xC3:Q16	288,714

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₃⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₃⋊Q₁₆) = C₂×C₃²⋊₃Q₁₆	φ: C₂×C₃⋊Q₁₆/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C2xC3:Q16)	288,483
C₃⋊₂(C₂×C₃⋊Q₁₆) = S₃×C₃⋊Q₁₆	φ: C₂×C₃⋊Q₁₆/C₃⋊Q₁₆ → C₂ ⊆ Aut C₃	96	8-	C3:2(C2xC3:Q16)	288,590
C₃⋊₃(C₂×C₃⋊Q₁₆) = C₂×C₃²⋊₂Q₁₆	φ: C₂×C₃⋊Q₁₆/C₂×Dic₆ → C₂ ⊆ Aut C₃	96		C3:3(C2xC3:Q16)	288,482
C₃⋊₄(C₂×C₃⋊Q₁₆) = C₂×C₃²⋊₇Q₁₆	φ: C₂×C₃⋊Q₁₆/C₆×Q₈ → C₂ ⊆ Aut C₃	288		C3:4(C2xC3:Q16)	288,800

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₃⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₃⋊Q₁₆) = C₂×C₉⋊Q₁₆	φ: C₂×C₃⋊Q₁₆/C₆×Q₈ → C₂ ⊆ Aut C₃	288		C3.(C2xC3:Q16)	288,151

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