Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=C₁₆

Direct product G=N×Q with N=C₃×C₆ and Q=C₁₆

		d	ρ	Label	ID
C₆×C₄₈		288		C6xC48	288,327

Semidirect products G=N:Q with N=C₃×C₆ and Q=C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊C₁₆ = C₂×C₂.F₉	φ: C₁₆/C₂ → C₈ ⊆ Aut C₃×C₆	96		(C3xC6):C16	288,865
(C₃×C₆)⋊₂C₁₆ = C₂×C₃²⋊₂C₁₆	φ: C₁₆/C₄ → C₄ ⊆ Aut C₃×C₆	96		(C3xC6):2C16	288,420
(C₃×C₆)⋊₃C₁₆ = C₆×C₃⋊C₁₆	φ: C₁₆/C₈ → C₂ ⊆ Aut C₃×C₆	96		(C3xC6):3C16	288,245
(C₃×C₆)⋊₄C₁₆ = C₂×C₂₄.S₃	φ: C₁₆/C₈ → C₂ ⊆ Aut C₃×C₆	288		(C3xC6):4C16	288,286

Non-split extensions G=N.Q with N=C₃×C₆ and Q=C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).C₁₆ = C₃²⋊C₃₂	φ: C₁₆/C₂ → C₈ ⊆ Aut C₃×C₆	96	8	(C3xC6).C16	288,373
(C₃×C₆).₂C₁₆ = C₃²⋊₂C₃₂	φ: C₁₆/C₄ → C₄ ⊆ Aut C₃×C₆	96	4	(C3xC6).2C16	288,188
(C₃×C₆).₃C₁₆ = C₃×C₃⋊C₃₂	φ: C₁₆/C₈ → C₂ ⊆ Aut C₃×C₆	96	2	(C3xC6).3C16	288,64
(C₃×C₆).₄C₁₆ = C₄₈.S₃	φ: C₁₆/C₈ → C₂ ⊆ Aut C₃×C₆	288		(C3xC6).4C16	288,65

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