Extensions 1→N→G→Q→1 with N=C₃×C₁₈ and Q=Q₈

Direct product G=N×Q with N=C₃×C₁₈ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₃×C₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=C₃×C₁₈ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₈)⋊Q₈ = C₂×C₉⋊Dic₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₁₈	144		(C3xC18):Q8	432,303
(C₃×C₁₈)⋊₂Q₈ = C₁₈×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	144		(C3xC18):2Q8	432,341
(C₃×C₁₈)⋊₃Q₈ = C₆×Dic₁₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	144		(C3xC18):3Q8	432,340
(C₃×C₁₈)⋊₄Q₈ = C₂×C₁₂.D₉	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	432		(C3xC18):4Q8	432,380

Non-split extensions G=N.Q with N=C₃×C₁₈ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₈).₁Q₈ = Dic₉⋊Dic₃	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₁₈	144		(C3xC18).1Q8	432,88
(C₃×C₁₈).₂Q₈ = C₁₈.Dic₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₁₈	144		(C3xC18).2Q8	432,89
(C₃×C₁₈).₃Q₈ = Dic₃⋊Dic₉	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₁₈	144		(C3xC18).3Q8	432,90
(C₃×C₁₈).₄Q₈ = C₉×Dic₃⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	144		(C3xC18).4Q8	432,132
(C₃×C₁₈).₅Q₈ = C₉×C₄⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	144		(C3xC18).5Q8	432,133
(C₃×C₁₈).₆Q₈ = C₃×Dic₉⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	144		(C3xC18).6Q8	432,129
(C₃×C₁₈).₇Q₈ = C₃×C₄⋊Dic₉	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	144		(C3xC18).7Q8	432,130
(C₃×C₁₈).₈Q₈ = C₆.Dic₁₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	432		(C3xC18).8Q8	432,181
(C₃×C₁₈).₉Q₈ = C₃₆⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	432		(C3xC18).9Q8	432,182
(C₃×C₁₈).₁₀Q₈ = C₄⋊C₄×C₃×C₉	central extension (φ=1)	432		(C3xC18).10Q8	432,206

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