Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=Q₈

Direct product G=NxQ with N=C₃xC₆ and Q=Q₈

		d	ρ	Label	ID
Q₈xC₃xC₆		144		Q8xC3xC6	144,180

Semidirect products G=N:Q with N=C₃xC₆ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):Q₈ = C₂xPSU₃(F₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃xC₆	18	8+	(C3xC6):Q8	144,187
(C₃xC₆):₂Q₈ = C₂xC₃²:₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6):2Q8	144,152
(C₃xC₆):₃Q₈ = C₆xDic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃xC₆	48		(C3xC6):3Q8	144,158
(C₃xC₆):₄Q₈ = C₂xC₃²:₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6):4Q8	144,168

Non-split extensions G=N.Q with N=C₃xC₆ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).Q₈ = C₂.PSU₃(F₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃xC₆	24	8+	(C3xC6).Q8	144,120
(C₃xC₆).₂Q₈ = Dic₃:Dic₃	φ: Q₈/C₂ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).2Q8	144,66
(C₃xC₆).₃Q₈ = C₆².C₂²	φ: Q₈/C₂ → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).3Q8	144,67
(C₃xC₆).₄Q₈ = C₃xDic₃:C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).4Q8	144,77
(C₃xC₆).₅Q₈ = C₃xC₄:Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).5Q8	144,78
(C₃xC₆).₆Q₈ = C₆.Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).6Q8	144,93
(C₃xC₆).₇Q₈ = C₁₂:Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).7Q8	144,94
(C₃xC₆).₈Q₈ = C₃²xC₄:C₄	central extension (φ=1)	144		(C3xC6).8Q8	144,103

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