Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃×C₁₇

Direct product G=N×Q with N=C₂² and Q=S₃×C₁₇

		d	ρ	Label	ID
S₃×C₂×C₃₄		204		S3xC2xC34	408,44

Semidirect products G=N:Q with N=C₂² and Q=S₃×C₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(S₃×C₁₇) = C₁₇×S₄	φ: S₃×C₁₇/C₁₇ → S₃ ⊆ Aut C₂²	68	3	C2^2:(S3xC17)	408,36
C₂²⋊₂(S₃×C₁₇) = C₁₇×C₃⋊D₄	φ: S₃×C₁₇/C₅₁ → C₂ ⊆ Aut C₂²	204	2	C2^2:2(S3xC17)	408,24

Non-split extensions G=N.Q with N=C₂² and Q=S₃×C₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(S₃×C₁₇) = Dic₃×C₃₄	central extension (φ=1)	408		C2^2.(S3xC17)	408,23

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Extensions 1→N→G→Q→1 with N=C22 and Q=S3×C17