Extensions 1→N→G→Q→1 with N=C₃xC₃:C₈ and Q=S₃

Direct product G=NxQ with N=C₃xC₃:C₈ and Q=S₃

		d	ρ	Label	ID
C₃xS₃xC₃:C₈		48	4	C3xS3xC3:C8	432,414

Semidirect products G=N:Q with N=C₃xC₃:C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃:C₈):₁S₃ = C₃³:₈D₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	72		(C3xC3:C8):1S3	432,438
(C₃xC₃:C₈):₂S₃ = C₃³:₁₆SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	144		(C3xC3:C8):2S3	432,443
(C₃xC₃:C₈):₃S₃ = C₃³:₁₇SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	72		(C3xC3:C8):3S3	432,444
(C₃xC₃:C₈):₄S₃ = C₃xC₃:D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):4S3	432,419
(C₃xC₃:C₈):₅S₃ = C₃:S₃xC₃:C₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	144		(C3xC3:C8):5S3	432,431
(C₃xC₃:C₈):₆S₃ = C₁₂.₆₉S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	72		(C3xC3:C8):6S3	432,432
(C₃xC₃:C₈):₇S₃ = C₃³:₈M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	144		(C3xC3:C8):7S3	432,434
(C₃xC₃:C₈):₈S₃ = C₃³:₉M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	72		(C3xC3:C8):8S3	432,435
(C₃xC₃:C₈):₉S₃ = C₃xD₁₂.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):9S3	432,421
(C₃xC₃:C₈):₁₀S₃ = C₃xC₃²:₅SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):10S3	432,422
(C₃xC₃:C₈):₁₁S₃ = C₃xD₆.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):11S3	432,416
(C₃xC₃:C₈):₁₂S₃ = C₃xC₁₂.₃₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8):12S3	432,417
(C₃xC₃:C₈):₁₃S₃ = C₃xC₁₂.₂₉D₆	φ: trivial image	48	4	(C3xC3:C8):13S3	432,415

Non-split extensions G=N.Q with N=C₃xC₃:C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃:C₈).₁S₃ = C₃:D₇₂	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	72	4+	(C3xC3:C8).1S3	432,64
(C₃xC₃:C₈).₂S₃ = C₃:Dic₃₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	144	4-	(C3xC3:C8).2S3	432,65
(C₃xC₃:C₈).₃S₃ = C₃³:₈Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	144		(C3xC3:C8).3S3	432,447
(C₃xC₃:C₈).₄S₃ = D₃₆.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	144	4-	(C3xC3:C8).4S3	432,62
(C₃xC₃:C₈).₅S₃ = C₆.D₃₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	72	4+	(C3xC3:C8).5S3	432,63
(C₃xC₃:C₈).₆S₃ = C₃xC₃²:₃Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	48	4	(C3xC3:C8).6S3	432,424
(C₃xC₃:C₈).₇S₃ = D₉xC₃:C₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	144	4	(C3xC3:C8).7S3	432,58
(C₃xC₃:C₈).₈S₃ = C₃₆.₃₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	72	4	(C3xC3:C8).8S3	432,59
(C₃xC₃:C₈).₉S₃ = C₃₆.₃₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	144	4	(C3xC3:C8).9S3	432,60
(C₃xC₃:C₈).₁₀S₃ = C₃₆.₄₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₃:C₈	72	4	(C3xC3:C8).10S3	432,61

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