Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃≀C₂

Direct product G=N×Q with N=C₂² and Q=S₃≀C₂

		d	ρ	Label	ID
C₂²×S₃≀C₂		24		C2^2xS3wrC2	288,1031

Semidirect products G=N:Q with N=C₂² and Q=S₃≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁S₃≀C₂ = C₆²⋊D₄	φ: S₃≀C₂/C₃²⋊C₄ → C₂ ⊆ Aut C₂²	24	8+	C2^2:1S3wrC2	288,890
C₂²⋊₂S₃≀C₂ = D₆≀C₂	φ: S₃≀C₂/S₃² → C₂ ⊆ Aut C₂²	12	4+	C2^2:2S3wrC2	288,889

Non-split extensions G=N.Q with N=C₂² and Q=S₃≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁S₃≀C₂ = C₆².₁₃D₄	φ: S₃≀C₂/C₃²⋊C₄ → C₂ ⊆ Aut C₂²	48	8-	C2^2.1S3wrC2	288,885
C₂².₂S₃≀C₂ = C₆².₂D₄	φ: S₃≀C₂/S₃² → C₂ ⊆ Aut C₂²	24	4+	C2^2.2S3wrC2	288,386
C₂².₃S₃≀C₂ = Dic₃≀C₂	φ: S₃≀C₂/S₃² → C₂ ⊆ Aut C₂²	24	4-	C2^2.3S3wrC2	288,389
C₂².₄S₃≀C₂ = C₆².₉D₄	φ: S₃≀C₂/S₃² → C₂ ⊆ Aut C₂²	24	4	C2^2.4S3wrC2	288,881
C₂².₅S₃≀C₂ = C₆².₁₂D₄	φ: S₃≀C₂/S₃² → C₂ ⊆ Aut C₂²	24	4	C2^2.5S3wrC2	288,884
C₂².₆S₃≀C₂ = C₆².₁₅D₄	φ: S₃≀C₂/S₃² → C₂ ⊆ Aut C₂²	48	4-	C2^2.6S3wrC2	288,887
C₂².₇S₃≀C₂ = C₆².D₄	central extension (φ=1)	48		C2^2.7S3wrC2	288,385
C₂².₈S₃≀C₂ = C₆².₃D₄	central extension (φ=1)	48		C2^2.8S3wrC2	288,387
C₂².₉S₃≀C₂ = C₆².₄D₄	central extension (φ=1)	96		C2^2.9S3wrC2	288,388
C₂².₁₀S₃≀C₂ = C₆².₆D₄	central extension (φ=1)	96		C2^2.10S3wrC2	288,390
C₂².₁₁S₃≀C₂ = C₆².₇D₄	central extension (φ=1)	96		C2^2.11S3wrC2	288,391
C₂².₁₂S₃≀C₂ = C₂×S₃²⋊C₄	central extension (φ=1)	24		C2^2.12S3wrC2	288,880
C₂².₁₃S₃≀C₂ = C₂×C₃⋊S₃.Q₈	central extension (φ=1)	48		C2^2.13S3wrC2	288,882
C₂².₁₄S₃≀C₂ = C₂×C₃²⋊D₈	central extension (φ=1)	48		C2^2.14S3wrC2	288,883
C₂².₁₅S₃≀C₂ = C₂×C₃²⋊₂SD₁₆	central extension (φ=1)	48		C2^2.15S3wrC2	288,886
C₂².₁₆S₃≀C₂ = C₂×C₃²⋊Q₁₆	central extension (φ=1)	96		C2^2.16S3wrC2	288,888

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