Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃wrC₂

Direct product G=NxQ with N=C₂² and Q=S₃wrC₂

		d	ρ	Label	ID
C₂²xS₃wrC₂		24		C2^2xS3wrC2	288,1031

Semidirect products G=N:Q with N=C₂² and Q=S₃wrC₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁S₃wrC₂ = C₆²:D₄	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₂²	24	8+	C2^2:1S3wrC2	288,890
C₂²:₂S₃wrC₂ = D₆wrC₂	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₂²	12	4+	C2^2:2S3wrC2	288,889

Non-split extensions G=N.Q with N=C₂² and Q=S₃wrC₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁S₃wrC₂ = C₆².₁₃D₄	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₂²	48	8-	C2^2.1S3wrC2	288,885
C₂².₂S₃wrC₂ = C₆².₂D₄	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₂²	24	4+	C2^2.2S3wrC2	288,386
C₂².₃S₃wrC₂ = Dic₃wrC₂	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₂²	24	4-	C2^2.3S3wrC2	288,389
C₂².₄S₃wrC₂ = C₆².₉D₄	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₂²	24	4	C2^2.4S3wrC2	288,881
C₂².₅S₃wrC₂ = C₆².₁₂D₄	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₂²	24	4	C2^2.5S3wrC2	288,884
C₂².₆S₃wrC₂ = C₆².₁₅D₄	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₂²	48	4-	C2^2.6S3wrC2	288,887
C₂².₇S₃wrC₂ = C₆².D₄	central extension (φ=1)	48		C2^2.7S3wrC2	288,385
C₂².₈S₃wrC₂ = C₆².₃D₄	central extension (φ=1)	48		C2^2.8S3wrC2	288,387
C₂².₉S₃wrC₂ = C₆².₄D₄	central extension (φ=1)	96		C2^2.9S3wrC2	288,388
C₂².₁₀S₃wrC₂ = C₆².₆D₄	central extension (φ=1)	96		C2^2.10S3wrC2	288,390
C₂².₁₁S₃wrC₂ = C₆².₇D₄	central extension (φ=1)	96		C2^2.11S3wrC2	288,391
C₂².₁₂S₃wrC₂ = C₂xS₃²:C₄	central extension (φ=1)	24		C2^2.12S3wrC2	288,880
C₂².₁₃S₃wrC₂ = C₂xC₃:S₃.Q₈	central extension (φ=1)	48		C2^2.13S3wrC2	288,882
C₂².₁₄S₃wrC₂ = C₂xC₃²:D₈	central extension (φ=1)	48		C2^2.14S3wrC2	288,883
C₂².₁₅S₃wrC₂ = C₂xC₃²:₂SD₁₆	central extension (φ=1)	48		C2^2.15S3wrC2	288,886
C₂².₁₆S₃wrC₂ = C₂xC₃²:Q₁₆	central extension (φ=1)	96		C2^2.16S3wrC2	288,888

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