Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₆₂

Direct product G=N×Q with N=C₄ and Q=C₂×C₆₂

		d	ρ	Label	ID
C₂²×C₁₂₄		496		C2^2xC124	496,37

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₆₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₆₂) = D₄×C₆₂	φ: C₂×C₆₂/C₆₂ → C₂ ⊆ Aut C₄	248		C4:(C2xC62)	496,38

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₆₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₆₂) = D₈×C₃₁	φ: C₂×C₆₂/C₆₂ → C₂ ⊆ Aut C₄	248	2	C4.1(C2xC62)	496,24
C₄.₂(C₂×C₆₂) = SD₁₆×C₃₁	φ: C₂×C₆₂/C₆₂ → C₂ ⊆ Aut C₄	248	2	C4.2(C2xC62)	496,25
C₄.₃(C₂×C₆₂) = Q₁₆×C₃₁	φ: C₂×C₆₂/C₆₂ → C₂ ⊆ Aut C₄	496	2	C4.3(C2xC62)	496,26
C₄.₄(C₂×C₆₂) = Q₈×C₆₂	φ: C₂×C₆₂/C₆₂ → C₂ ⊆ Aut C₄	496		C4.4(C2xC62)	496,39
C₄.₅(C₂×C₆₂) = C₄○D₄×C₃₁	φ: C₂×C₆₂/C₆₂ → C₂ ⊆ Aut C₄	248	2	C4.5(C2xC62)	496,40
C₄.₆(C₂×C₆₂) = M₄(2)×C₃₁	central extension (φ=1)	248	2	C4.6(C2xC62)	496,23

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