Extensions 1→N→G→Q→1 with N=C₈ and Q=D₃₁

Direct product G=N×Q with N=C₈ and Q=D₃₁

		d	ρ	Label	ID
C₈×D₃₁		248	2	C8xD31	496,3

Semidirect products G=N:Q with N=C₈ and Q=D₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₃₁ = D₂₄₈	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₈	248	2+	C8:1D31	496,6
C₈⋊₂D₃₁ = C₂₄₈⋊C₂	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₈	248	2	C8:2D31	496,5
C₈⋊₃D₃₁ = C₈⋊D₃₁	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₈	248	2	C8:3D31	496,4

Non-split extensions G=N.Q with N=C₈ and Q=D₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.D₃₁ = Dic₁₂₄	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₈	496	2-	C8.D31	496,7
C₈.₂D₃₁ = C₃₁⋊C₁₆	central extension (φ=1)	496	2	C8.2D31	496,1

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Extensions 1→N→G→Q→1 with N=C8 and Q=D31