Extensions 1→N→G→Q→1 with N=C₃₁ and Q=C₄○D₄

Direct product G=N×Q with N=C₃₁ and Q=C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₃₁		248	2	C4oD4xC31	496,40

Semidirect products G=N:Q with N=C₃₁ and Q=C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₁⋊₁(C₄○D₄) = D₁₂₄⋊₅C₂	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Aut C₃₁	248	2	C31:1(C4oD4)	496,30
C₃₁⋊₂(C₄○D₄) = D₄⋊₂D₃₁	φ: C₄○D₄/D₄ → C₂ ⊆ Aut C₃₁	248	4-	C31:2(C4oD4)	496,32
C₃₁⋊₃(C₄○D₄) = Q₈⋊₂D₃₁	φ: C₄○D₄/Q₈ → C₂ ⊆ Aut C₃₁	248	4+	C31:3(C4oD4)	496,34

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