Extensions 1→N→G→Q→1 with N=C₃² and Q=Q₈

Direct product G=N×Q with N=C₃² and Q=Q₈

		d	ρ	Label	ID
Q₈×C₃²		72		Q8xC3^2	72,38

Semidirect products G=N:Q with N=C₃² and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊Q₈ = PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃²	9	8+	C3^2:Q8	72,41
C₃²⋊₂Q₈ = C₃²⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃²	24	4-	C3^2:2Q8	72,24
C₃²⋊₃Q₈ = C₃×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²	24	2	C3^2:3Q8	72,26
C₃²⋊₄Q₈ = C₃²⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃²	72		C3^2:4Q8	72,31

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