Extensions 1→N→G→Q→1 with N=D₄ and Q=C₆²

Direct product G=N×Q with N=D₄ and Q=C₆²

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

Semidirect products G=N:Q with N=D₄ and Q=C₆²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₆² = D₈×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₄	144		D4:1C6^2	288,829
D₄⋊₂C₆² = C₃²×C₈⋊C₂²	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₄	72		D4:2C6^2	288,833
D₄⋊₃C₆² = C₄○D₄×C₃×C₆	φ: trivial image	144		D4:3C6^2	288,1021
D₄⋊₄C₆² = C₃²×2₊¹⁺⁴	φ: trivial image	72		D4:4C6^2	288,1022

Non-split extensions G=N.Q with N=D₄ and Q=C₆²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁C₆² = SD₁₆×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₄	144		D4.1C6^2	288,830
D₄.₂C₆² = C₃²×C₄○D₈	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₄	144		D4.2C6^2	288,832
D₄.₃C₆² = C₃²×C₈.C₂²	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₄	144		D4.3C6^2	288,834
D₄.₄C₆² = C₃²×2_-¹⁺⁴	φ: trivial image	144		D4.4C6^2	288,1023

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