Extensions 1→N→G→Q→1 with N=C₆×Q₈ and Q=C₃

Direct product G=N×Q with N=C₆×Q₈ and Q=C₃

		d	ρ	Label	ID
Q₈×C₃×C₆		144		Q8xC3xC6	144,180

Semidirect products G=N:Q with N=C₆×Q₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Q₈)⋊C₃ = C₆×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out C₆×Q₈	48		(C6xQ8):C3	144,156

Non-split extensions G=N.Q with N=C₆×Q₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Q₈).C₃ = C₂×Q₈⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₆×Q₈	144		(C6xQ8).C3	144,35
(C₆×Q₈).₂C₃ = Q₈×C₁₈	φ: trivial image	144		(C6xQ8).2C3	144,49

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Extensions 1→N→G→Q→1 with N=C6×Q8 and Q=C3