Extensions 1→N→G→Q→1 with N=C₂xS₃² and Q=C₂²

Direct product G=NxQ with N=C₂xS₃² and Q=C₂²

		d	ρ	Label	ID
S₃²xC₂³		48		S3^2xC2^3	288,1040

Semidirect products G=N:Q with N=C₂xS₃² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₃²):₁C₂² = D₆wrC₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	12	4+	(C2xS3^2):1C2^2	288,889
(C₂xS₃²):₂C₂² = D₁₂:₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	48	4	(C2xS3^2):2C2^2	288,955
(C₂xS₃²):₃C₂² = D₁₂:₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	24	4+	(C2xS3^2):3C2^2	288,956
(C₂xS₃²):₄C₂² = D₁₂:₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	48	8-	(C2xS3^2):4C2^2	288,961
(C₂xS₃²):₅C₂² = D₁₂:₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	24	8+	(C2xS3^2):5C2^2	288,962
(C₂xS₃²):₆C₂² = D₁₂:₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	48	8+	(C2xS3^2):6C2^2	288,968
(C₂xS₃²):₇C₂² = C₃²:2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	24	4	(C2xS3^2):7C2^2	288,978
(C₂xS₃²):₈C₂² = C₂xS₃xD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	48		(C2xS3^2):8C2^2	288,951
(C₂xS₃²):₉C₂² = C₂xD₆:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	48		(C2xS3^2):9C2^2	288,952
(C₂xS₃²):₁₀C₂² = S₃²xD₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	24	8+	(C2xS3^2):10C2^2	288,958
(C₂xS₃²):₁₁C₂² = C₂xS₃xC₃:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	48		(C2xS3^2):11C2^2	288,976
(C₂xS₃²):₁₂C₂² = C₂xDic₃:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	24		(C2xS3^2):12C2^2	288,977
(C₂xS₃²):₁₃C₂² = C₂²xS₃wrC₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	24		(C2xS3^2):13C2^2	288,1031

Non-split extensions G=N.Q with N=C₂xS₃² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₃²).₁C₂² = C₄.₄S₃wrC₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	24	8+	(C2xS3^2).1C2^2	288,869
(C₂xS₃²).₂C₂² = C₄:S₃wrC₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	24	8+	(C2xS3^2).2C2^2	288,879
(C₂xS₃²).₃C₂² = C₆².₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	24	4	(C2xS3^2).3C2^2	288,881
(C₂xS₃²).₄C₂² = C₆²:D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xS₃²	24	8+	(C2xS3^2).4C2^2	288,890
(C₂xS₃²).₅C₂² = S₃²:Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	24	4	(C2xS3^2).5C2^2	288,868
(C₂xS₃²).₆C₂² = C₄xS₃wrC₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	24	4	(C2xS3^2).6C2^2	288,877
(C₂xS₃²).₇C₂² = S₃²:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	24	4	(C2xS3^2).7C2^2	288,878
(C₂xS₃²).₈C₂² = C₂xS₃²:C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	24		(C2xS3^2).8C2^2	288,880
(C₂xS₃²).₉C₂² = S₃xC₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	48	4	(C2xS3^2).9C2^2	288,953
(C₂xS₃²).₁₀C₂² = D₁₂:₂₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	24	4	(C2xS3^2).10C2^2	288,954
(C₂xS₃²).₁₁C₂² = S₃xD₄:₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	48	8-	(C2xS3^2).11C2^2	288,959
(C₂xS₃²).₁₂C₂² = Dic₆:₁₂D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	24	8+	(C2xS3^2).12C2^2	288,960
(C₂xS₃²).₁₃C₂² = S₃xQ₈:₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	48	8+	(C2xS3^2).13C2^2	288,966
(C₂xS₃²).₁₄C₂² = D₁₂:₁₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xS₃²	48	8-	(C2xS3^2).14C2^2	288,967
(C₂xS₃²).₁₅C₂² = S₃²xC₂xC₄	φ: trivial image	48		(C2xS3^2).15C2^2	288,950
(C₂xS₃²).₁₆C₂² = S₃²xQ₈	φ: trivial image	48	8-	(C2xS3^2).16C2^2	288,965

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