Extensions 1→N→G→Q→1 with N=C₃³ and Q=Q₈

Direct product G=NxQ with N=C₃³ and Q=Q₈

		d	ρ	Label	ID
Q₈xC₃³		216		Q8xC3^3	216,152

Semidirect products G=N:Q with N=C₃³ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³:₁Q₈ = C₃xPSU₃(F₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃³	24	8	C3^3:1Q8	216,160
C₃³:₂Q₈ = C₃³:Q₈	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃³	24	8	C3^3:2Q8	216,161
C₃³:₃Q₈ = C₃xC₃²:₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃³	24	4	C3^3:3Q8	216,123
C₃³:₄Q₈ = C₃³:₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃³	72		C3^3:4Q8	216,130
C₃³:₅Q₈ = C₃³:₅Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃³	24	4	C3^3:5Q8	216,133
C₃³:₆Q₈ = C₃²xDic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃³	72		C3^3:6Q8	216,135
C₃³:₇Q₈ = C₃xC₃²:₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃³	72		C3^3:7Q8	216,140
C₃³:₈Q₈ = C₃³:₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃³	216		C3^3:8Q8	216,145

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