Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃×C₁₇

Direct product G=N×Q with N=C₄ and Q=S₃×C₁₇

		d	ρ	Label	ID
S₃×C₆₈		204	2	S3xC68	408,21

Semidirect products G=N:Q with N=C₄ and Q=S₃×C₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(S₃×C₁₇) = C₁₇×D₁₂	φ: S₃×C₁₇/C₅₁ → C₂ ⊆ Aut C₄	204	2	C4:(S3xC17)	408,22

Non-split extensions G=N.Q with N=C₄ and Q=S₃×C₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(S₃×C₁₇) = C₁₇×Dic₆	φ: S₃×C₁₇/C₅₁ → C₂ ⊆ Aut C₄	408	2	C4.(S3xC17)	408,20
C₄.₂(S₃×C₁₇) = C₁₇×C₃⋊C₈	central extension (φ=1)	408	2	C4.2(S3xC17)	408,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C17