Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃×SD₁₆

Direct product G=N×Q with N=C₆ and Q=C₃×SD₁₆

		d	ρ	Label	ID
SD₁₆×C₃×C₆		144		SD16xC3xC6	288,830

Semidirect products G=N:Q with N=C₆ and Q=C₃×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₃×SD₁₆) = C₆×C₂₄⋊C₂	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₆	96		C6:1(C3xSD16)	288,673
C₆⋊₂(C₃×SD₁₆) = C₆×D₄.S₃	φ: C₃×SD₁₆/C₃×D₄ → C₂ ⊆ Aut C₆	48		C6:2(C3xSD16)	288,704
C₆⋊₃(C₃×SD₁₆) = C₆×Q₈⋊₂S₃	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₆	96		C6:3(C3xSD16)	288,712

Non-split extensions G=N.Q with N=C₆ and Q=C₃×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃×SD₁₆) = C₃×C₂.Dic₁₂	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₆	96		C6.1(C3xSD16)	288,250
C₆.₂(C₃×SD₁₆) = C₃×C₈⋊Dic₃	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₆	96		C6.2(C3xSD16)	288,251
C₆.₃(C₃×SD₁₆) = C₃×C₂.D₂₄	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₆	96		C6.3(C3xSD16)	288,255
C₆.₄(C₃×SD₁₆) = C₃×C₆.SD₁₆	φ: C₃×SD₁₆/C₃×D₄ → C₂ ⊆ Aut C₆	96		C6.4(C3xSD16)	288,244
C₆.₅(C₃×SD₁₆) = C₃×D₄⋊Dic₃	φ: C₃×SD₁₆/C₃×D₄ → C₂ ⊆ Aut C₆	48		C6.5(C3xSD16)	288,266
C₆.₆(C₃×SD₁₆) = C₃×C₁₂.Q₈	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₆	96		C6.6(C3xSD16)	288,242
C₆.₇(C₃×SD₁₆) = C₃×C₆.D₈	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₆	96		C6.7(C3xSD16)	288,243
C₆.₈(C₃×SD₁₆) = C₃×Q₈⋊₂Dic₃	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₆	96		C6.8(C3xSD16)	288,269
C₆.₉(C₃×SD₁₆) = C₉×D₄⋊C₄	central extension (φ=1)	144		C6.9(C3xSD16)	288,52
C₆.₁₀(C₃×SD₁₆) = C₉×Q₈⋊C₄	central extension (φ=1)	288		C6.10(C3xSD16)	288,53
C₆.₁₁(C₃×SD₁₆) = C₉×C₄.Q₈	central extension (φ=1)	288		C6.11(C3xSD16)	288,56
C₆.₁₂(C₃×SD₁₆) = SD₁₆×C₁₈	central extension (φ=1)	144		C6.12(C3xSD16)	288,183
C₆.₁₃(C₃×SD₁₆) = C₃²×D₄⋊C₄	central extension (φ=1)	144		C6.13(C3xSD16)	288,320
C₆.₁₄(C₃×SD₁₆) = C₃²×Q₈⋊C₄	central extension (φ=1)	288		C6.14(C3xSD16)	288,321
C₆.₁₅(C₃×SD₁₆) = C₃²×C₄.Q₈	central extension (φ=1)	288		C6.15(C3xSD16)	288,324

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