Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄⋊S₃

Direct product G=N×Q with N=C₇ and Q=D₄⋊S₃

		d	ρ	Label	ID
C₇×D₄⋊S₃		168	4	C7xD4:S3	336,85

Semidirect products G=N:Q with N=C₇ and Q=D₄⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄⋊S₃) = C₃⋊D₅₆	φ: D₄⋊S₃/C₃⋊C₈ → C₂ ⊆ Aut C₇	168	4+	C7:1(D4:S3)	336,30
C₇⋊₂(D₄⋊S₃) = C₂₁⋊D₈	φ: D₄⋊S₃/D₁₂ → C₂ ⊆ Aut C₇	168	4	C7:2(D4:S3)	336,29
C₇⋊₃(D₄⋊S₃) = D₄⋊D₂₁	φ: D₄⋊S₃/C₃×D₄ → C₂ ⊆ Aut C₇	168	4+	C7:3(D4:S3)	336,101

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