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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊Q₁₆ = C₂×C₃²⋊Q₁₆	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₃×C₆	96		(C3xC6):Q16	288,888
(C₃×C₆)⋊₂Q₁₆ = C₂×C₃²⋊₂Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃×C₆	96		(C3xC6):2Q16	288,482
(C₃×C₆)⋊₃Q₁₆ = C₂×C₃²⋊₃Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃×C₆	96		(C3xC6):3Q16	288,483
(C₃×C₆)⋊₄Q₁₆ = C₆×Dic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃×C₆	96		(C3xC6):4Q16	288,676
(C₃×C₆)⋊₅Q₁₆ = C₂×C₃²⋊₅Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃×C₆	288		(C3xC6):5Q16	288,762
(C₃×C₆)⋊₆Q₁₆ = C₆×C₃⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃×C₆	96		(C3xC6):6Q16	288,714
(C₃×C₆)⋊₇Q₁₆ = C₂×C₃²⋊₇Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃×C₆	288		(C3xC6):7Q16	288,800

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).₁Q₁₆ = C₆².₄D₄	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₃×C₆	96		(C3xC6).1Q16	288,388
(C₃×C₆).₂Q₁₆ = C₆².₇D₄	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₃×C₆	96		(C3xC6).2Q16	288,391
(C₃×C₆).₃Q₁₆ = Dic₆⋊Dic₃	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃×C₆	96		(C3xC6).3Q16	288,213
(C₃×C₆).₄Q₁₆ = C₆.Dic₁₂	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃×C₆	96		(C3xC6).4Q16	288,214
(C₃×C₆).₅Q₁₆ = C₁₂.₇₃D₁₂	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃×C₆	96		(C3xC6).5Q16	288,215
(C₃×C₆).₆Q₁₆ = C₆.₁₈D₂₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃×C₆	96		(C3xC6).6Q16	288,223
(C₃×C₆).₇Q₁₆ = C₁₂.₈Dic₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃×C₆	96		(C3xC6).7Q16	288,224
(C₃×C₆).₈Q₁₆ = C₃×C₂.Dic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃×C₆	96		(C3xC6).8Q16	288,250
(C₃×C₆).₉Q₁₆ = C₃×C₂₄⋊₁C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃×C₆	96		(C3xC6).9Q16	288,252
(C₃×C₆).₁₀Q₁₆ = C₆.₄Dic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃×C₆	288		(C3xC6).10Q16	288,291
(C₃×C₆).₁₁Q₁₆ = C₂₄⋊₁Dic₃	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃×C₆	288		(C3xC6).11Q16	288,293
(C₃×C₆).₁₂Q₁₆ = C₃×C₆.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃×C₆	96		(C3xC6).12Q16	288,241
(C₃×C₆).₁₃Q₁₆ = C₃×C₆.SD₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃×C₆	96		(C3xC6).13Q16	288,244
(C₃×C₆).₁₄Q₁₆ = C₃×Q₈⋊₂Dic₃	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃×C₆	96		(C3xC6).14Q16	288,269
(C₃×C₆).₁₅Q₁₆ = C₁₂.₉Dic₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃×C₆	288		(C3xC6).15Q16	288,282
(C₃×C₆).₁₆Q₁₆ = C₆².₁₁₄D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃×C₆	288		(C3xC6).16Q16	288,285
(C₃×C₆).₁₇Q₁₆ = C₆².₁₁₇D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃×C₆	288		(C3xC6).17Q16	288,310
(C₃×C₆).₁₈Q₁₆ = C₃²×Q₈⋊C₄	central extension (φ=1)	288		(C3xC6).18Q16	288,321
(C₃×C₆).₁₉Q₁₆ = C₃²×C₂.D₈	central extension (φ=1)	288		(C3xC6).19Q16	288,325

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