Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃×C₁₁

Direct product G=N×Q with N=C₄ and Q=S₃×C₁₁

		d	ρ	Label	ID
S₃×C₄₄		132	2	S3xC44	264,19

Semidirect products G=N:Q with N=C₄ and Q=S₃×C₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(S₃×C₁₁) = C₁₁×D₁₂	φ: S₃×C₁₁/C₃₃ → C₂ ⊆ Aut C₄	132	2	C4:(S3xC11)	264,20

Non-split extensions G=N.Q with N=C₄ and Q=S₃×C₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(S₃×C₁₁) = C₁₁×Dic₆	φ: S₃×C₁₁/C₃₃ → C₂ ⊆ Aut C₄	264	2	C4.(S3xC11)	264,18
C₄.₂(S₃×C₁₁) = C₁₁×C₃⋊C₈	central extension (φ=1)	264	2	C4.2(S3xC11)	264,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C11