Extensions 1→N→G→Q→1 with N=Q₈xC₃² and Q=C₂

Direct product G=NxQ with N=Q₈xC₃² and Q=C₂

		d	ρ	Label	ID
Q₈xC₃xC₆		144		Q8xC3xC6	144,180

Semidirect products G=N:Q with N=Q₈xC₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₃²):₁C₂ = C₃xQ₈:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃²	48	4	(Q8xC3^2):1C2	144,82
(Q₈xC₃²):₂C₂ = C₃²:₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃²	72		(Q8xC3^2):2C2	144,98
(Q₈xC₃²):₃C₂ = C₃xS₃xQ₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃²	48	4	(Q8xC3^2):3C2	144,164
(Q₈xC₃²):₄C₂ = C₃xQ₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃²	48	4	(Q8xC3^2):4C2	144,165
(Q₈xC₃²):₅C₂ = Q₈xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃²	72		(Q8xC3^2):5C2	144,174
(Q₈xC₃²):₆C₂ = C₁₂.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃²	72		(Q8xC3^2):6C2	144,175
(Q₈xC₃²):₇C₂ = C₃²xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃²	72		(Q8xC3^2):7C2	144,107
(Q₈xC₃²):₈C₂ = C₃²xC₄oD₄	φ: trivial image	72		(Q8xC3^2):8C2	144,181

Non-split extensions G=N.Q with N=Q₈xC₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₃²).₁C₂ = C₃xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃²	48	4	(Q8xC3^2).1C2	144,83
(Q₈xC₃²).₂C₂ = C₃²:₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃²	144		(Q8xC3^2).2C2	144,99
(Q₈xC₃²).₃C₂ = C₃²xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃²	144		(Q8xC3^2).3C2	144,108

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