Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃²xC₆

Direct product G=NxQ with N=Q₈ and Q=C₃²xC₆

		d	ρ	Label	ID
Q₈xC₃²xC₆		432		Q8xC3^2xC6	432,732

Semidirect products G=N:Q with N=Q₈ and Q=C₃²xC₆

extension	φ:Q→Out N	d	Label	ID
Q₈:(C₃²xC₆) = C₃xC₆xSL₂(F₃)	φ: C₃²xC₆/C₃xC₆ → C₃ ⊆ Out Q₈	144	Q8:(C3^2xC6)	432,698
Q₈:₂(C₃²xC₆) = SD₁₆xC₃³	φ: C₃²xC₆/C₃³ → C₂ ⊆ Out Q₈	216	Q8:2(C3^2xC6)	432,518
Q₈:₃(C₃²xC₆) = C₄oD₄xC₃³	φ: trivial image	216	Q8:3(C3^2xC6)	432,733

Non-split extensions G=N.Q with N=Q₈ and Q=C₃²xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃²xC₆) = C₃²xC₄.A₄	φ: C₃²xC₆/C₃xC₆ → C₃ ⊆ Out Q₈	144		Q8.(C3^2xC6)	432,699
Q₈.₂(C₃²xC₆) = Q₁₆xC₃³	φ: C₃²xC₆/C₃³ → C₂ ⊆ Out Q₈	432		Q8.2(C3^2xC6)	432,519

Extensions 1→N→G→Q→1 with N=Q8 and Q=C32xC6