Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃×C₁₉

Direct product G=N×Q with N=C₄ and Q=S₃×C₁₉

		d	ρ	Label	ID
S₃×C₇₆		228	2	S3xC76	456,30

Semidirect products G=N:Q with N=C₄ and Q=S₃×C₁₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(S₃×C₁₉) = C₁₉×D₁₂	φ: S₃×C₁₉/C₅₇ → C₂ ⊆ Aut C₄	228	2	C4:(S3xC19)	456,31

Non-split extensions G=N.Q with N=C₄ and Q=S₃×C₁₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(S₃×C₁₉) = C₁₉×Dic₆	φ: S₃×C₁₉/C₅₇ → C₂ ⊆ Aut C₄	456	2	C4.(S3xC19)	456,29
C₄.₂(S₃×C₁₉) = C₁₉×C₃⋊C₈	central extension (φ=1)	456	2	C4.2(S3xC19)	456,3

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Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C19