Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃×C₇

Direct product G=N×Q with N=C₂² and Q=S₃×C₇

		d	ρ	Label	ID
S₃×C₂×C₁₄		84		S3xC2xC14	168,55

Semidirect products G=N:Q with N=C₂² and Q=S₃×C₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(S₃×C₇) = C₇×S₄	φ: S₃×C₇/C₇ → S₃ ⊆ Aut C₂²	28	3	C2^2:(S3xC7)	168,45
C₂²⋊₂(S₃×C₇) = C₇×C₃⋊D₄	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₂²	84	2	C2^2:2(S3xC7)	168,33

Non-split extensions G=N.Q with N=C₂² and Q=S₃×C₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(S₃×C₇) = Dic₃×C₁₄	central extension (φ=1)	168		C2^2.(S3xC7)	168,32

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Extensions 1→N→G→Q→1 with N=C22 and Q=S3×C7