Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄×S₃

Direct product G=N×Q with N=C₇ and Q=C₄×S₃

		d	ρ	Label	ID
S₃×C₂₈		84	2	S3xC28	168,30

Semidirect products G=N:Q with N=C₇ and Q=C₄×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄×S₃) = D₂₁⋊C₄	φ: C₄×S₃/Dic₃ → C₂ ⊆ Aut C₇	84	4+	C7:1(C4xS3)	168,14
C₇⋊₂(C₄×S₃) = C₄×D₂₁	φ: C₄×S₃/C₁₂ → C₂ ⊆ Aut C₇	84	2	C7:2(C4xS3)	168,35
C₇⋊₃(C₄×S₃) = S₃×Dic₇	φ: C₄×S₃/D₆ → C₂ ⊆ Aut C₇	84	4-	C7:3(C4xS3)	168,13

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