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

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

		d	ρ	Label	ID
C₆×Q₈⋊C₉		432		C6xQ8:C9	432,334

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₉⋊C₆ = C₃².GL₂(𝔽₃)	φ: C₆/C₁ → C₆ ⊆ Out Q₈⋊C₉	72	12+	Q8:C9:C6	432,245
Q₈⋊C₉⋊₂C₆ = C₂×C₁₈.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈⋊C₉	144		Q8:C9:2C6	432,328
Q₈⋊C₉⋊₃C₆ = C₂×Q₈⋊3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Out Q₈⋊C₉	144		Q8:C9:3C6	432,335
Q₈⋊C₉⋊₄C₆ = Q₈⋊C₉⋊₄C₆	φ: C₆/C₂ → C₃ ⊆ Out Q₈⋊C₉	72	6	Q8:C9:4C6	432,338
Q₈⋊C₉⋊₅C₆ = C₃×Q₈⋊D₉	φ: C₆/C₃ → C₂ ⊆ Out Q₈⋊C₉	144	4	Q8:C9:5C6	432,246
Q₈⋊C₉⋊₆C₆ = C₁₈×SL₂(𝔽₃)	φ: trivial image	144		Q8:C9:6C6	432,327
Q₈⋊C₉⋊₇C₆ = C₃×Q₈.C₁₈	φ: trivial image	216		Q8:C9:7C6	432,337

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₉.C₆ = C₃².CSU₂(𝔽₃)	φ: C₆/C₁ → C₆ ⊆ Out Q₈⋊C₉	144	12-	Q8:C9.C6	432,243
Q₈⋊C₉.₂C₆ = C₃₆.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈⋊C₉	144	6	Q8:C9.2C6	432,330
Q₈⋊C₉.₃C₆ = C₃×Q₈.D₉	φ: C₆/C₃ → C₂ ⊆ Out Q₈⋊C₉	144	4	Q8:C9.3C6	432,244
Q₈⋊C₉.₄C₆ = C₉×C₄.A₄	φ: trivial image	144	2	Q8:C9.4C6	432,329

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