Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃²⋊D₆

Direct product G=N×Q with N=C₂ and Q=C₃²⋊D₆

		d	ρ	Label	ID
C₂×C₃²⋊D₆		18	6+	C2xC3^2:D6	216,102

Non-split extensions G=N.Q with N=C₂ and Q=C₃²⋊D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₃²⋊D₆) = C₆.S₃²	central extension (φ=1)	36	6	C2.1(C3^2:D6)	216,34
C₂.₂(C₃²⋊D₆) = He₃⋊(C₂×C₄)	central extension (φ=1)	36	6-	C2.2(C3^2:D6)	216,36
C₂.₃(C₃²⋊D₆) = He₃⋊₂Q₈	central stem extension (φ=1)	72	6-	C2.3(C3^2:D6)	216,33
C₂.₄(C₃²⋊D₆) = He₃⋊₂D₄	central stem extension (φ=1)	36	6+	C2.4(C3^2:D6)	216,35
C₂.₅(C₃²⋊D₆) = He₃⋊₃D₄	central stem extension (φ=1)	36	6	C2.5(C3^2:D6)	216,37

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