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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆⋊₁C₆ = C₃×C₃⋊D₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊C₁₆	48	4	C3:C16:1C6	288,260
C₃⋊C₁₆⋊₂C₆ = C₃×D₈.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊C₁₆	48	4	C3:C16:2C6	288,261
C₃⋊C₁₆⋊₃C₆ = C₃×C₈.₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊C₁₆	96	4	C3:C16:3C6	288,262
C₃⋊C₁₆⋊₄C₆ = C₃×D₆.C₈	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊C₁₆	96	2	C3:C16:4C6	288,232
C₃⋊C₁₆⋊₅C₆ = C₃×C₁₂.C₈	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊C₁₆	48	2	C3:C16:5C6	288,246
C₃⋊C₁₆⋊₆C₆ = S₃×C₄₈	φ: trivial image	96	2	C3:C16:6C6	288,231

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆.C₆ = C₃×C₃⋊Q₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₃⋊C₁₆	96	4	C3:C16.C6	288,263

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