Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₁₉⋊C₃

Direct product G=N×Q with N=C₃ and Q=C₂×C₁₉⋊C₃

		d	ρ	Label	ID
C₆×C₁₉⋊C₃		114	3	C6xC19:C3	342,12

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₁₉⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₁₉⋊C₃) = S₃×C₁₉⋊C₃	φ: C₂×C₁₉⋊C₃/C₁₉⋊C₃ → C₂ ⊆ Aut C₃	57	6	C3:(C2xC19:C3)	342,10

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₁₉⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₁₉⋊C₃) = C₂×C₁₉⋊₂C₉	central extension (φ=1)	342	3	C3.(C2xC19:C3)	342,2

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C19⋊C3