Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=D₉

Direct product G=N×Q with N=C₃×Q₈ and Q=D₉

		d	ρ	Label	ID
C₃×Q₈×D₉		144	4	C3xQ8xD9	432,364

Semidirect products G=N:Q with N=C₃×Q₈ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁D₉ = C₃².₃GL₂(𝔽₃)	φ: D₉/C₃ → S₃ ⊆ Out C₃×Q₈	216		(C3xQ8):1D9	432,256
(C₃×Q₈)⋊₂D₉ = C₃×Q₈⋊D₉	φ: D₉/C₃ → S₃ ⊆ Out C₃×Q₈	144	4	(C3xQ8):2D9	432,246
(C₃×Q₈)⋊₃D₉ = C₃₆.₂₀D₆	φ: D₉/C₉ → C₂ ⊆ Out C₃×Q₈	216		(C3xQ8):3D9	432,195
(C₃×Q₈)⋊₄D₉ = Q₈×C₉⋊S₃	φ: D₉/C₉ → C₂ ⊆ Out C₃×Q₈	216		(C3xQ8):4D9	432,392
(C₃×Q₈)⋊₅D₉ = C₃₆.₂₉D₆	φ: D₉/C₉ → C₂ ⊆ Out C₃×Q₈	216		(C3xQ8):5D9	432,393
(C₃×Q₈)⋊₆D₉ = C₃×Q₈⋊₂D₉	φ: D₉/C₉ → C₂ ⊆ Out C₃×Q₈	144	4	(C3xQ8):6D9	432,157
(C₃×Q₈)⋊₇D₉ = C₃×Q₈⋊₃D₉	φ: trivial image	144	4	(C3xQ8):7D9	432,365

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁D₉ = Q₈.D₂₇	φ: D₉/C₃ → S₃ ⊆ Out C₃×Q₈	432	4-	(C3xQ8).1D9	432,37
(C₃×Q₈).₂D₉ = Q₈⋊D₂₇	φ: D₉/C₃ → S₃ ⊆ Out C₃×Q₈	216	4+	(C3xQ8).2D9	432,38
(C₃×Q₈).₃D₉ = C₃².₃CSU₂(𝔽₃)	φ: D₉/C₃ → S₃ ⊆ Out C₃×Q₈	432		(C3xQ8).3D9	432,255
(C₃×Q₈).₄D₉ = C₃×Q₈.D₉	φ: D₉/C₃ → S₃ ⊆ Out C₃×Q₈	144	4	(C3xQ8).4D9	432,244
(C₃×Q₈).₅D₉ = C₂₇⋊Q₁₆	φ: D₉/C₉ → C₂ ⊆ Out C₃×Q₈	432	4-	(C3xQ8).5D9	432,17
(C₃×Q₈).₆D₉ = Q₈⋊₂D₂₇	φ: D₉/C₉ → C₂ ⊆ Out C₃×Q₈	216	4+	(C3xQ8).6D9	432,18
(C₃×Q₈).₇D₉ = Q₈×D₂₇	φ: D₉/C₉ → C₂ ⊆ Out C₃×Q₈	216	4-	(C3xQ8).7D9	432,49
(C₃×Q₈).₈D₉ = Q₈⋊₃D₂₇	φ: D₉/C₉ → C₂ ⊆ Out C₃×Q₈	216	4+	(C3xQ8).8D9	432,50
(C₃×Q₈).₉D₉ = C₃₆.₁₉D₆	φ: D₉/C₉ → C₂ ⊆ Out C₃×Q₈	432		(C3xQ8).9D9	432,194
(C₃×Q₈).₁₀D₉ = C₃×C₉⋊Q₁₆	φ: D₉/C₉ → C₂ ⊆ Out C₃×Q₈	144	4	(C3xQ8).10D9	432,156

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