Extensions 1→N→G→Q→1 with N=Dic₃₁ and Q=C₂²

Direct product G=N×Q with N=Dic₃₁ and Q=C₂²

		d	ρ	Label	ID
C₂²×Dic₃₁		496		C2^2xDic31	496,35

Semidirect products G=N:Q with N=Dic₃₁ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₁⋊₁C₂² = D₄×D₃₁	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₁	124	4+	Dic31:1C2^2	496,31
Dic₃₁⋊₂C₂² = C₂×C₃₁⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₁	248		Dic31:2C2^2	496,36
Dic₃₁⋊₃C₂² = C₂×C₄×D₃₁	φ: trivial image	248		Dic31:3C2^2	496,28

Non-split extensions G=N.Q with N=Dic₃₁ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃₁.₁C₂² = C₂×Dic₆₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₁	496		Dic31.1C2^2	496,27
Dic₃₁.₂C₂² = D₁₂₄⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₁	248	2	Dic31.2C2^2	496,30
Dic₃₁.₃C₂² = Q₈×D₃₁	φ: C₂²/C₂ → C₂ ⊆ Out Dic₃₁	248	4-	Dic31.3C2^2	496,33
Dic₃₁.₄C₂² = D₄⋊₂D₃₁	φ: trivial image	248	4-	Dic31.4C2^2	496,32
Dic₃₁.₅C₂² = Q₈⋊₂D₃₁	φ: trivial image	248	4+	Dic31.5C2^2	496,34

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