Extensions 1→N→G→Q→1 with N=C₃₁ and Q=M₄(2)

Direct product G=N×Q with N=C₃₁ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₃₁		248	2	M4(2)xC31	496,23

Semidirect products G=N:Q with N=C₃₁ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₁⋊₁M₄(2) = C₈⋊D₃₁	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃₁	248	2	C31:1M4(2)	496,4
C₃₁⋊₂M₄(2) = C₄.Dic₃₁	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₃₁	248	2	C31:2M4(2)	496,9

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