Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂.₁₀D₄

Direct product G=N×Q with N=C₃ and Q=C₁₂.₁₀D₄

		d	ρ	Label	ID
C₃×C₁₂.₁₀D₄		48	4	C3xC12.10D4	288,270

Semidirect products G=N:Q with N=C₃ and Q=C₁₂.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂.₁₀D₄) = C₁₂.₁₄D₁₂	φ: C₁₂.₁₀D₄/C₄.Dic₃ → C₂ ⊆ Aut C₃	48	4	C3:1(C12.10D4)	288,208
C₃⋊₂(C₁₂.₁₀D₄) = (C₆×C₁₂).C₄	φ: C₁₂.₁₀D₄/C₆×Q₈ → C₂ ⊆ Aut C₃	144		C3:2(C12.10D4)	288,311

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.₁₀D₄) = C₃₆.₉D₄	φ: C₁₂.₁₀D₄/C₆×Q₈ → C₂ ⊆ Aut C₃	144	4	C3.(C12.10D4)	288,42

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Extensions 1→N→G→Q→1 with N=C3 and Q=C12.10D4