Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃×C₁₉

Direct product G=N×Q with N=C₂² and Q=S₃×C₁₉

		d	ρ	Label	ID
S₃×C₂×C₃₈		228		S3xC2xC38	456,52

Semidirect products G=N:Q with N=C₂² and Q=S₃×C₁₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(S₃×C₁₉) = C₁₉×S₄	φ: S₃×C₁₉/C₁₉ → S₃ ⊆ Aut C₂²	76	3	C2^2:(S3xC19)	456,42
C₂²⋊₂(S₃×C₁₉) = C₁₉×C₃⋊D₄	φ: S₃×C₁₉/C₅₇ → C₂ ⊆ Aut C₂²	228	2	C2^2:2(S3xC19)	456,33

Non-split extensions G=N.Q with N=C₂² and Q=S₃×C₁₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(S₃×C₁₉) = Dic₃×C₃₈	central extension (φ=1)	456		C2^2.(S3xC19)	456,32

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Extensions 1→N→G→Q→1 with N=C22 and Q=S3×C19