Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃xC₁₇

Direct product G=NxQ with N=C₄ and Q=S₃xC₁₇

		d	ρ	Label	ID
S₃xC₆₈		204	2	S3xC68	408,21

Semidirect products G=N:Q with N=C₄ and Q=S₃xC₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(S₃xC₁₇) = C₁₇xD₁₂	φ: S₃xC₁₇/C₅₁ → C₂ ⊆ Aut C₄	204	2	C4:(S3xC17)	408,22

Non-split extensions G=N.Q with N=C₄ and Q=S₃xC₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(S₃xC₁₇) = C₁₇xDic₆	φ: S₃xC₁₇/C₅₁ → C₂ ⊆ Aut C₄	408	2	C4.(S3xC17)	408,20
C₄.₂(S₃xC₁₇) = C₁₇xC₃:C₈	central extension (φ=1)	408	2	C4.2(S3xC17)	408,1

Extensions 1→N→G→Q→1 with N=C4 and Q=S3xC17