Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₆²

Direct product G=N×Q with N=Q₈ and Q=C₆²

		d	ρ	Label	ID
Q₈×C₆²		288		Q8xC6^2	288,1020

Semidirect products G=N:Q with N=Q₈ and Q=C₆²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₆² = C₂×C₆×SL₂(𝔽₃)	φ: C₆²/C₂×C₆ → C₃ ⊆ Out Q₈	96		Q8:C6^2	288,981
Q₈⋊₂C₆² = SD₁₆×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Q₈	144		Q8:2C6^2	288,830
Q₈⋊₃C₆² = C₃²×C₈⋊C₂²	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Q₈	72		Q8:3C6^2	288,833
Q₈⋊₄C₆² = C₄○D₄×C₃×C₆	φ: trivial image	144		Q8:4C6^2	288,1021
Q₈⋊₅C₆² = C₃²×2₊¹⁺⁴	φ: trivial image	72		Q8:5C6^2	288,1022

Non-split extensions G=N.Q with N=Q₈ and Q=C₆²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁C₆² = C₆×C₄.A₄	φ: C₆²/C₂×C₆ → C₃ ⊆ Out Q₈	96		Q8.1C6^2	288,983
Q₈.₂C₆² = C₃×Q₈.A₄	φ: C₆²/C₂×C₆ → C₃ ⊆ Out Q₈	72	4	Q8.2C6^2	288,984
Q₈.₃C₆² = C₃×D₄.A₄	φ: C₆²/C₂×C₆ → C₃ ⊆ Out Q₈	48	4	Q8.3C6^2	288,985
Q₈.₄C₆² = Q₁₆×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Q₈	288		Q8.4C6^2	288,831
Q₈.₅C₆² = C₃²×C₄○D₈	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Q₈	144		Q8.5C6^2	288,832
Q₈.₆C₆² = C₃²×C₈.C₂²	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Q₈	144		Q8.6C6^2	288,834
Q₈.₇C₆² = C₃²×2_-¹⁺⁴	φ: trivial image	144		Q8.7C6^2	288,1023

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