Extensions 1→N→G→Q→1 with N=C₃⁴ and Q=C₂

Direct product G=N×Q with N=C₃⁴ and Q=C₂

		d	ρ	Label	ID
C₃³×C₆		162		C3^3xC6	162,55

Semidirect products G=N:Q with N=C₃⁴ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⁴⋊₁C₂ = S₃×C₃³	φ: C₂/C₁ → C₂ ⊆ Aut C₃⁴	54		C3^4:1C2	162,51
C₃⁴⋊₂C₂ = C₃²×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃⁴	18		C3^4:2C2	162,52
C₃⁴⋊₃C₂ = C₃×C₃³⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃⁴	54		C3^4:3C2	162,53
C₃⁴⋊₄C₂ = C₃⁴⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃⁴	81		C3^4:4C2	162,54

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