Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃²

Direct product G=N×Q with N=C₂² and Q=S₃²

		d	ρ	Label	ID
C₂²×S₃²		24		C2^2xS3^2	144,192

Semidirect products G=N:Q with N=C₂² and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊S₃² = S₃×S₄	φ: S₃²/S₃ → S₃ ⊆ Aut C₂²	12	6+	C2^2:S3^2	144,183
C₂²⋊₂S₃² = S₃×C₃⋊D₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂²	24	4	C2^2:2S3^2	144,153
C₂²⋊₃S₃² = Dic₃⋊D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂²	12	4+	C2^2:3S3^2	144,154

Non-split extensions G=N.Q with N=C₂² and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁S₃² = D₆.₃D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₂²	24	4	C2^2.1S3^2	144,147
C₂².₂S₃² = D₆.₄D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₂²	24	4-	C2^2.2S3^2	144,148
C₂².₃S₃² = Dic₃²	central extension (φ=1)	48		C2^2.3S3^2	144,63
C₂².₄S₃² = D₆⋊Dic₃	central extension (φ=1)	48		C2^2.4S3^2	144,64
C₂².₅S₃² = C₆.D₁₂	central extension (φ=1)	24		C2^2.5S3^2	144,65
C₂².₆S₃² = Dic₃⋊Dic₃	central extension (φ=1)	48		C2^2.6S3^2	144,66
C₂².₇S₃² = C₆².C₂²	central extension (φ=1)	48		C2^2.7S3^2	144,67
C₂².₈S₃² = C₂×S₃×Dic₃	central extension (φ=1)	48		C2^2.8S3^2	144,146
C₂².₉S₃² = C₂×C₆.D₆	central extension (φ=1)	24		C2^2.9S3^2	144,149
C₂².₁₀S₃² = C₂×D₆⋊S₃	central extension (φ=1)	48		C2^2.10S3^2	144,150
C₂².₁₁S₃² = C₂×C₃⋊D₁₂	central extension (φ=1)	24		C2^2.11S3^2	144,151
C₂².₁₂S₃² = C₂×C₃²⋊₂Q₈	central extension (φ=1)	48		C2^2.12S3^2	144,152

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