Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃×C₁₃

Direct product G=N×Q with N=C₂² and Q=S₃×C₁₃

		d	ρ	Label	ID
S₃×C₂×C₂₆		156		S3xC2xC26	312,59

Semidirect products G=N:Q with N=C₂² and Q=S₃×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(S₃×C₁₃) = C₁₃×S₄	φ: S₃×C₁₃/C₁₃ → S₃ ⊆ Aut C₂²	52	3	C2^2:(S3xC13)	312,47
C₂²⋊₂(S₃×C₁₃) = C₁₃×C₃⋊D₄	φ: S₃×C₁₃/C₃₉ → C₂ ⊆ Aut C₂²	156	2	C2^2:2(S3xC13)	312,36

Non-split extensions G=N.Q with N=C₂² and Q=S₃×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(S₃×C₁₃) = Dic₃×C₂₆	central extension (φ=1)	312		C2^2.(S3xC13)	312,35

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Extensions 1→N→G→Q→1 with N=C22 and Q=S3×C13