Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₃₁

Direct product G=N×Q with N=C₂³ and Q=D₃₁

		d	ρ	Label	ID
C₂³×D₃₁		248		C2^3xD31	496,41

Semidirect products G=N:Q with N=C₂³ and Q=D₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₃₁ = C₂×C₃₁⋊D₄	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₂³	248		C2^3:D31	496,36

Non-split extensions G=N.Q with N=C₂³ and Q=D₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.D₃₁ = C₂³.D₃₁	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₂³	248		C2^3.D31	496,18
C₂³.₂D₃₁ = C₂²×Dic₃₁	central extension (φ=1)	496		C2^3.2D31	496,35

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Extensions 1→N→G→Q→1 with N=C23 and Q=D31