Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃₁⋊D₄

Direct product G=N×Q with N=C₂ and Q=C₃₁⋊D₄

		d	ρ	Label	ID
C₂×C₃₁⋊D₄		248		C2xC31:D4	496,36

Non-split extensions G=N.Q with N=C₂ and Q=C₃₁⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₃₁⋊D₄) = Dic₃₁⋊C₄	central extension (φ=1)	496		C2.1(C31:D4)	496,11
C₂.₂(C₃₁⋊D₄) = D₆₂⋊C₄	central extension (φ=1)	248		C2.2(C31:D4)	496,13
C₂.₃(C₃₁⋊D₄) = C₂³.D₃₁	central extension (φ=1)	248		C2.3(C31:D4)	496,18
C₂.₄(C₃₁⋊D₄) = D₄⋊D₃₁	central stem extension (φ=1)	248	4+	C2.4(C31:D4)	496,14
C₂.₅(C₃₁⋊D₄) = D₄.D₃₁	central stem extension (φ=1)	248	4-	C2.5(C31:D4)	496,15
C₂.₆(C₃₁⋊D₄) = Q₈⋊D₃₁	central stem extension (φ=1)	248	4+	C2.6(C31:D4)	496,16
C₂.₇(C₃₁⋊D₄) = C₃₁⋊Q₁₆	central stem extension (φ=1)	496	4-	C2.7(C31:D4)	496,17

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