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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇⋊(C₄×S₃) = S₃×C₁₇⋊C₄	φ: C₄×S₃/S₃ → C₄ ⊆ Aut C₁₇	51	8+	C17:(C4xS3)	408,35
C₁₇⋊₂(C₄×S₃) = D₅₁⋊₂C₄	φ: C₄×S₃/Dic₃ → C₂ ⊆ Aut C₁₇	204	4+	C17:2(C4xS3)	408,9
C₁₇⋊₃(C₄×S₃) = C₄×D₅₁	φ: C₄×S₃/C₁₂ → C₂ ⊆ Aut C₁₇	204	2	C17:3(C4xS3)	408,26
C₁₇⋊₄(C₄×S₃) = S₃×Dic₁₇	φ: C₄×S₃/D₆ → C₂ ⊆ Aut C₁₇	204	4-	C17:4(C4xS3)	408,8

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