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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₃×Q₁₆) = C₆×Dic₁₂	φ: C₃×Q₁₆/C₂₄ → C₂ ⊆ Aut C₆	96		C6:1(C3xQ16)	288,676
C₆⋊₂(C₃×Q₁₆) = C₆×C₃⋊Q₁₆	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₆	96		C6:2(C3xQ16)	288,714

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃×Q₁₆) = C₃×C₂.Dic₁₂	φ: C₃×Q₁₆/C₂₄ → C₂ ⊆ Aut C₆	96		C6.1(C3xQ16)	288,250
C₆.₂(C₃×Q₁₆) = C₃×C₂₄⋊₁C₄	φ: C₃×Q₁₆/C₂₄ → C₂ ⊆ Aut C₆	96		C6.2(C3xQ16)	288,252
C₆.₃(C₃×Q₁₆) = C₃×C₆.Q₁₆	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₆	96		C6.3(C3xQ16)	288,241
C₆.₄(C₃×Q₁₆) = C₃×C₆.SD₁₆	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₆	96		C6.4(C3xQ16)	288,244
C₆.₅(C₃×Q₁₆) = C₃×Q₈⋊₂Dic₃	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₆	96		C6.5(C3xQ16)	288,269
C₆.₆(C₃×Q₁₆) = C₉×Q₈⋊C₄	central extension (φ=1)	288		C6.6(C3xQ16)	288,53
C₆.₇(C₃×Q₁₆) = C₉×C₂.D₈	central extension (φ=1)	288		C6.7(C3xQ16)	288,57
C₆.₈(C₃×Q₁₆) = Q₁₆×C₁₈	central extension (φ=1)	288		C6.8(C3xQ16)	288,184
C₆.₉(C₃×Q₁₆) = C₃²×Q₈⋊C₄	central extension (φ=1)	288		C6.9(C3xQ16)	288,321
C₆.₁₀(C₃×Q₁₆) = C₃²×C₂.D₈	central extension (φ=1)	288		C6.10(C3xQ16)	288,325

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