Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄○D₁₂

Direct product G=N×Q with N=C₇ and Q=C₄○D₁₂

		d	ρ	Label	ID
C₇×C₄○D₁₂		168	2	C7xC4oD12	336,187

Semidirect products G=N:Q with N=C₇ and Q=C₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄○D₁₂) = D₁₄.D₆	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₇	168	4+	C7:1(C4oD12)	336,146
C₇⋊₂(C₄○D₁₂) = D₆.D₁₄	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₇	168	4	C7:2(C4oD12)	336,144
C₇⋊₃(C₄○D₁₂) = D₁₂⋊₅D₇	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₇	168	4-	C7:3(C4oD12)	336,145
C₇⋊₄(C₄○D₁₂) = Dic₃.D₁₄	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₇	168	4	C7:4(C4oD12)	336,155
C₇⋊₅(C₄○D₁₂) = D₈₄⋊₁₁C₂	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₇	168	2	C7:5(C4oD12)	336,197

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁