Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₄²⋊C₃

Direct product G=N×Q with N=C₃ and Q=C₂×C₄²⋊C₃

		d	ρ	Label	ID
C₆×C₄²⋊C₃		36	3	C6xC4^2:C3	288,632

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₄²⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₄²⋊C₃) = S₃×C₄²⋊C₃	φ: C₂×C₄²⋊C₃/C₄²⋊C₃ → C₂ ⊆ Aut C₃	36	6	C3:(C2xC4^2:C3)	288,407

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₄²⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₄²⋊C₃) = C₂×C₄²⋊C₉	central extension (φ=1)	36	3	C3.(C2xC4^2:C3)	288,71

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C42⋊C3