Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄.₁₀D₄

Direct product G=N×Q with N=C₃ and Q=C₃×C₄.₁₀D₄

		d	ρ	Label	ID
C₃²×C₄.₁₀D₄		144		C3^2xC4.10D4	288,319

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₄.₁₀D₄) = C₃×C₁₂.₄₇D₄	φ: C₃×C₄.₁₀D₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	48	4	C3:1(C3xC4.10D4)	288,258
C₃⋊₂(C₃×C₄.₁₀D₄) = C₃×C₁₂.₁₀D₄	φ: C₃×C₄.₁₀D₄/C₆×Q₈ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC4.10D4)	288,270

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₄.₁₀D₄) = C₉×C₄.₁₀D₄	central extension (φ=1)	144	4	C3.(C3xC4.10D4)	288,51

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C4.10D4