Extensions 1→N→G→Q→1 with N=C₆.S₃² and Q=C₂

Direct product G=NxQ with N=C₆.S₃² and Q=C₂

		d	ρ	Label	ID
C₂xC₆.S₃²		72		C2xC6.S3^2	432,317

Semidirect products G=N:Q with N=C₆.S₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.S₃²:₁C₂ = C₁₂:S₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	72	12+	C6.S3^2:1C2	432,295
C₆.S₃²:₂C₂ = C₁₂.₈₄S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	72	6	C6.S3^2:2C2	432,296
C₆.S₃²:₃C₂ = C₆².₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	72	12-	C6.S3^2:3C2	432,318
C₆.S₃²:₄C₂ = C₆².₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	72	6	C6.S3^2:4C2	432,319
C₆.S₃²:₅C₂ = C₆²:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	36	12+	C6.S3^2:5C2	432,323
C₆.S₃²:₆C₂ = C₄xC₃²:D₆	φ: trivial image	36	6	C6.S3^2:6C2	432,300

Non-split extensions G=N.Q with N=C₆.S₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.S₃².C₂ = C₃:S₃:Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	72	12-	C6.S3^2.C2	432,294

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