Extensions 1→N→G→Q→1 with N=C₃ and Q=C₇×D₈

Direct product G=N×Q with N=C₃ and Q=C₇×D₈

		d	ρ	Label	ID
D₈×C₂₁		168	2	D8xC21	336,111

Semidirect products G=N:Q with N=C₃ and Q=C₇×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₇×D₈) = C₇×D₂₄	φ: C₇×D₈/C₅₆ → C₂ ⊆ Aut C₃	168	2	C3:1(C7xD8)	336,77
C₃⋊₂(C₇×D₈) = C₇×D₄⋊S₃	φ: C₇×D₈/C₇×D₄ → C₂ ⊆ Aut C₃	168	4	C3:2(C7xD8)	336,85

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