Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃xQ₈

Direct product G=NxQ with N=C₇ and Q=C₃xQ₈

		d	ρ	Label	ID
Q₈xC₂₁		168	2	Q8xC21	168,41

Semidirect products G=N:Q with N=C₇ and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:(C₃xQ₈) = C₄.F₇	φ: C₃xQ₈/C₄ → C₆ ⊆ Aut C₇	56	6-	C7:(C3xQ8)	168,7
C₇:₂(C₃xQ₈) = Q₈xC₇:C₃	φ: C₃xQ₈/Q₈ → C₃ ⊆ Aut C₇	56	6	C7:2(C3xQ8)	168,21
C₇:₃(C₃xQ₈) = C₃xDic₁₄	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₇	168	2	C7:3(C3xQ8)	168,24

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