Extensions 1→N→G→Q→1 with N=C₂xC₃:S₃ and Q=C₈

Direct product G=NxQ with N=C₂xC₃:S₃ and Q=C₈

		d	ρ	Label	ID
C₂xC₈xC₃:S₃		144		C2xC8xC3:S3	288,756

Semidirect products G=N:Q with N=C₂xC₃:S₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:S₃):₁C₈ = C₂²:F₉	φ: C₈/C₂ → C₄ ⊆ Out C₂xC₃:S₃	24	8+	(C2xC3:S3):1C8	288,867
(C₂xC₃:S₃):₂C₈ = C₂²xF₉	φ: C₈/C₂ → C₄ ⊆ Out C₂xC₃:S₃	36		(C2xC3:S3):2C8	288,1030
(C₂xC₃:S₃):₃C₈ = C₁₂.₇₈D₁₂	φ: C₈/C₄ → C₂ ⊆ Out C₂xC₃:S₃	48		(C2xC3:S3):3C8	288,205
(C₂xC₃:S₃):₄C₈ = C₁₂.₆₀D₁₂	φ: C₈/C₄ → C₂ ⊆ Out C₂xC₃:S₃	144		(C2xC3:S3):4C8	288,295
(C₂xC₃:S₃):₅C₈ = C₆².₆(C₂xC₄)	φ: C₈/C₄ → C₂ ⊆ Out C₂xC₃:S₃	48		(C2xC3:S3):5C8	288,426
(C₂xC₃:S₃):₆C₈ = C₂xC₁₂.₂₉D₆	φ: C₈/C₄ → C₂ ⊆ Out C₂xC₃:S₃	48		(C2xC3:S3):6C8	288,464
(C₂xC₃:S₃):₇C₈ = C₂xC₃:S₃:₃C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂xC₃:S₃	48		(C2xC3:S3):7C8	288,929

Non-split extensions G=N.Q with N=C₂xC₃:S₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:S₃).₁C₈ = C₄.₃F₉	φ: C₈/C₂ → C₄ ⊆ Out C₂xC₃:S₃	48	8	(C2xC3:S3).1C8	288,861
(C₂xC₃:S₃).₂C₈ = C₄.F₉	φ: C₈/C₂ → C₄ ⊆ Out C₂xC₃:S₃	48	8	(C2xC3:S3).2C8	288,862
(C₂xC₃:S₃).₃C₈ = C₂₄.₆₀D₆	φ: C₈/C₄ → C₂ ⊆ Out C₂xC₃:S₃	48	4	(C2xC3:S3).3C8	288,190
(C₂xC₃:S₃).₄C₈ = C₂₄.₆₂D₆	φ: C₈/C₄ → C₂ ⊆ Out C₂xC₃:S₃	48	4	(C2xC3:S3).4C8	288,192
(C₂xC₃:S₃).₅C₈ = C₄₈:S₃	φ: C₈/C₄ → C₂ ⊆ Out C₂xC₃:S₃	144		(C2xC3:S3).5C8	288,273
(C₂xC₃:S₃).₆C₈ = C₃:S₃:₃C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂xC₃:S₃	48	4	(C2xC3:S3).6C8	288,412
(C₂xC₃:S₃).₇C₈ = C₃²:₃M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂xC₃:S₃	48	4	(C2xC3:S3).7C8	288,413
(C₂xC₃:S₃).₈C₈ = C₁₆xC₃:S₃	φ: trivial image	144		(C2xC3:S3).8C8	288,272

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