Extensions 1→N→G→Q→1 with N=C₃×Q₈⋊C₉ and Q=C₂

Direct product G=N×Q with N=C₃×Q₈⋊C₉ and Q=C₂

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

Semidirect products G=N:Q with N=C₃×Q₈⋊C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈⋊C₉)⋊₁C₂ = Q₈⋊C₉⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈⋊C₉	144	4	(C3xQ8:C9):1C2	432,267
(C₃×Q₈⋊C₉)⋊₂C₂ = S₃×Q₈⋊C₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈⋊C₉	144	4	(C3xQ8:C9):2C2	432,268
(C₃×Q₈⋊C₉)⋊₃C₂ = C₃×Q₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈⋊C₉	144	4	(C3xQ8:C9):3C2	432,246
(C₃×Q₈⋊C₉)⋊₄C₂ = C₃².₃GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈⋊C₉	216		(C3xQ8:C9):4C2	432,256
(C₃×Q₈⋊C₉)⋊₅C₂ = C₃×Q₈.C₁₈	φ: trivial image	216		(C3xQ8:C9):5C2	432,337

Non-split extensions G=N.Q with N=C₃×Q₈⋊C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈⋊C₉).₁C₂ = C₃×Q₈.D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈⋊C₉	144	4	(C3xQ8:C9).1C2	432,244
(C₃×Q₈⋊C₉).₂C₂ = C₃².₃CSU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈⋊C₉	432		(C3xQ8:C9).2C2	432,255

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