Extensions 1→N→G→Q→1 with N=D₄ and Q=C₆₂

Direct product G=N×Q with N=D₄ and Q=C₆₂

		d	ρ	Label	ID
D₄×C₆₂		248		D4xC62	496,38

Semidirect products G=N:Q with N=D₄ and Q=C₆₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₆₂ = D₈×C₃₁	φ: C₆₂/C₃₁ → C₂ ⊆ Out D₄	248	2	D4:C62	496,24
D₄⋊₂C₆₂ = C₄○D₄×C₃₁	φ: trivial image	248	2	D4:2C62	496,40

Non-split extensions G=N.Q with N=D₄ and Q=C₆₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₆₂ = SD₁₆×C₃₁	φ: C₆₂/C₃₁ → C₂ ⊆ Out D₄	248	2	D4.C62	496,25

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Extensions 1→N→G→Q→1 with N=D4 and Q=C62