Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₉⋊C₆

Direct product G=N×Q with N=Q₈ and Q=C₉⋊C₆

		d	ρ	Label	ID
Q₈×C₉⋊C₆		72	12-	Q8xC9:C6	432,370

Semidirect products G=N:Q with N=Q₈ and Q=C₉⋊C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₉⋊C₆) = C₃².GL₂(𝔽₃)	φ: C₉⋊C₆/C₃² → S₃ ⊆ Out Q₈	72	12+	Q8:(C9:C6)	432,245
Q₈⋊₂(C₉⋊C₆) = D₁₈.A₄	φ: C₉⋊C₆/D₉ → C₃ ⊆ Out Q₈	72	12-	Q8:2(C9:C6)	432,263
Q₈⋊₃(C₉⋊C₆) = D₃₆.C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Out Q₈	72	12+	Q8:3(C9:C6)	432,163
Q₈⋊₄(C₉⋊C₆) = D₃₆⋊₃C₆	φ: trivial image	72	12+	Q8:4(C9:C6)	432,371

Non-split extensions G=N.Q with N=Q₈ and Q=C₉⋊C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₉⋊C₆) = C₃².CSU₂(𝔽₃)	φ: C₉⋊C₆/C₃² → S₃ ⊆ Out Q₈	144	12-	Q8.(C9:C6)	432,243
Q₈.₂(C₉⋊C₆) = Dic₉.A₄	φ: C₉⋊C₆/D₉ → C₃ ⊆ Out Q₈	144	12+	Q8.2(C9:C6)	432,261
Q₈.₃(C₉⋊C₆) = Dic₁₈.C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Out Q₈	144	12-	Q8.3(C9:C6)	432,162

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