Extensions 1→N→G→Q→1 with N=C₂² and Q=D₆₂

Direct product G=N×Q with N=C₂² and Q=D₆₂

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

Semidirect products G=N:Q with N=C₂² and Q=D₆₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₆₂ = D₄×D₃₁	φ: D₆₂/D₃₁ → C₂ ⊆ Aut C₂²	124	4+	C2^2:1D62	496,31
C₂²⋊₂D₆₂ = C₂×C₃₁⋊D₄	φ: D₆₂/C₆₂ → C₂ ⊆ Aut C₂²	248		C2^2:2D62	496,36

Non-split extensions G=N.Q with N=C₂² and Q=D₆₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₆₂ = D₄⋊₂D₃₁	φ: D₆₂/D₃₁ → C₂ ⊆ Aut C₂²	248	4-	C2^2.1D62	496,32
C₂².₂D₆₂ = D₁₂₄⋊₅C₂	φ: D₆₂/C₆₂ → C₂ ⊆ Aut C₂²	248	2	C2^2.2D62	496,30
C₂².₃D₆₂ = C₄×Dic₃₁	central extension (φ=1)	496		C2^2.3D62	496,10
C₂².₄D₆₂ = Dic₃₁⋊C₄	central extension (φ=1)	496		C2^2.4D62	496,11
C₂².₅D₆₂ = C₄⋊Dic₃₁	central extension (φ=1)	496		C2^2.5D62	496,12
C₂².₆D₆₂ = D₆₂⋊C₄	central extension (φ=1)	248		C2^2.6D62	496,13
C₂².₇D₆₂ = C₂³.D₃₁	central extension (φ=1)	248		C2^2.7D62	496,18
C₂².₈D₆₂ = C₂×Dic₆₂	central extension (φ=1)	496		C2^2.8D62	496,27
C₂².₉D₆₂ = C₂×C₄×D₃₁	central extension (φ=1)	248		C2^2.9D62	496,28
C₂².₁₀D₆₂ = C₂×D₁₂₄	central extension (φ=1)	248		C2^2.10D62	496,29
C₂².₁₁D₆₂ = C₂²×Dic₃₁	central extension (φ=1)	496		C2^2.11D62	496,35

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