Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃⁴

Direct product G=N×Q with N=C₆ and Q=C₃⁴

		d	ρ	Label	ID
C₃⁴×C₆		486		C3^4xC6	486,261

Non-split extensions G=N.Q with N=C₆ and Q=C₃⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁C₃⁴ = C₃×C₆×He₃	central extension (φ=1)	162		C6.1C3^4	486,251
C₆.₂C₃⁴ = C₃×C₆×3_-¹⁺²	central extension (φ=1)	162		C6.2C3^4	486,252
C₆.₃C₃⁴ = C₆×C₉○He₃	central extension (φ=1)	162		C6.3C3^4	486,253
C₆.₄C₃⁴ = C₂×3₊¹⁺⁴	central extension (φ=1)	54	9	C6.4C3^4	486,254
C₆.₅C₃⁴ = C₂×3_-¹⁺⁴	central extension (φ=1)	54	9	C6.5C3^4	486,255

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