Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃⁴⋊C₂

Direct product G=N×Q with N=C₃ and Q=C₃⁴⋊C₂

		d	ρ	Label	ID
C₃×C₃⁴⋊C₂		162		C3xC3^4:C2	486,259

Semidirect products G=N:Q with N=C₃ and Q=C₃⁴⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃⁴⋊C₂) = C₃⁵⋊C₂	φ: C₃⁴⋊C₂/C₃⁴ → C₂ ⊆ Aut C₃	243		C3:(C3^4:C2)	486,260

Non-split extensions G=N.Q with N=C₃ and Q=C₃⁴⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃⁴⋊C₂) = C₃³⋊₉D₉	φ: C₃⁴⋊C₂/C₃⁴ → C₂ ⊆ Aut C₃	243		C3.(C3^4:C2)	486,247
C₃.₂(C₃⁴⋊C₂) = C₃⁴⋊₁₃S₃	central stem extension (φ=1)	54		C3.2(C3^4:C2)	486,248
C₃.₃(C₃⁴⋊C₂) = 3₊¹⁺⁴⋊₃C₂	central stem extension (φ=1)	27	9	C3.3(C3^4:C2)	486,249

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Extensions 1→N→G→Q→1 with N=C3 and Q=C34⋊C2