Extensions 1→N→G→Q→1 with N=C₇ and Q=S₃×Q₈

Direct product G=N×Q with N=C₇ and Q=S₃×Q₈

		d	ρ	Label	ID
S₃×C₇×Q₈		168	4	S3xC7xQ8	336,190

Semidirect products G=N:Q with N=C₇ and Q=S₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(S₃×Q₈) = D₂₁⋊Q₈	φ: S₃×Q₈/Dic₆ → C₂ ⊆ Aut C₇	168	4	C7:1(S3xQ8)	336,143
C₇⋊₂(S₃×Q₈) = S₃×Dic₁₄	φ: S₃×Q₈/C₄×S₃ → C₂ ⊆ Aut C₇	168	4-	C7:2(S3xQ8)	336,140
C₇⋊₃(S₃×Q₈) = Q₈×D₂₁	φ: S₃×Q₈/C₃×Q₈ → C₂ ⊆ Aut C₇	168	4-	C7:3(S3xQ8)	336,200

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁