Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.₄₆D₄

Direct product G=N×Q with N=C₃ and Q=C₁₂.₄₆D₄

		d	ρ	Label	ID
C₃×C₁₂.₄₆D₄		48	4	C3xC12.46D4	288,257

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.₄₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂.₄₆D₄) = C₁₂.₇₀D₁₂	φ: C₁₂.₄₆D₄/C₄.Dic₃ → C₂ ⊆ Aut C₃	24	4+	C3:1(C12.46D4)	288,207
C₃⋊₂(C₁₂.₄₆D₄) = C₁₂.₁₉D₁₂	φ: C₁₂.₄₆D₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	72		C3:2(C12.46D4)	288,298
C₃⋊₃(C₁₂.₄₆D₄) = C₁₂.D₁₂	φ: C₁₂.₄₆D₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:3(C12.46D4)	288,206

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.₄₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.₄₆D₄) = C₃₆.₄₈D₄	φ: C₁₂.₄₆D₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	72	4+	C3.(C12.46D4)	288,31

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12.46D4