Extensions 1→N→G→Q→1 with N=D₄×C₂×C₆ and Q=C₃

Direct product G=N×Q with N=D₄×C₂×C₆ and Q=C₃

		d	ρ	Label	ID
D₄×C₆²		144		D4xC6^2	288,1019

Semidirect products G=N:Q with N=D₄×C₂×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂×C₆)⋊C₃ = C₃×D₄×A₄	φ: C₃/C₁ → C₃ ⊆ Out D₄×C₂×C₆	36	6	(D4xC2xC6):C3	288,980

Non-split extensions G=N.Q with N=D₄×C₂×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂×C₆).C₃ = D₄×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Out D₄×C₂×C₆	36	6	(D4xC2xC6).C3	288,344
(D₄×C₂×C₆).₂C₃ = D₄×C₂×C₁₈	φ: trivial image	144		(D4xC2xC6).2C3	288,368

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Extensions 1→N→G→Q→1 with N=D4×C2×C6 and Q=C3