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

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

		d	ρ	Label	ID
Q₈×C₃³		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 = C₃×PSU₃(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 = C₃×C₃²⋊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 = C₃²×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃³	72		C3^3:6Q8	216,135
C₃³⋊₇Q₈ = C₃×C₃²⋊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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