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

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

		d	ρ	Label	ID
C₂×C₃⁴⋊C₂		162		C2xC3^4:C2	324,175

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⁴⋊C₂⋊₁C₂ = S₃×C₃³⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃⁴⋊C₂	54		C3^4:C2:1C2	324,168
C₃⁴⋊C₂⋊₂C₂ = C₃⋊S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃⁴⋊C₂	18		C3^4:C2:2C2	324,169

Non-split extensions G=N.Q with N=C₃⁴⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⁴⋊C₂.C₂ = C₃⁴⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃⁴⋊C₂	18		C3^4:C2.C2	324,164

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