Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄×C₂₀

Direct product G=N×Q with N=C₆ and Q=C₄×C₂₀

		d	ρ	Label	ID
C₂×C₄×C₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₆ and Q=C₄×C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₄×C₂₀) = Dic₃×C₂×C₂₀	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6:(C4xC20)	480,801

Non-split extensions G=N.Q with N=C₆ and Q=C₄×C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄×C₂₀) = C₂₀×C₃⋊C₈	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6.1(C4xC20)	480,121
C₆.₂(C₄×C₂₀) = C₅×C₄².S₃	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6.2(C4xC20)	480,122
C₆.₃(C₄×C₂₀) = Dic₃×C₄₀	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6.3(C4xC20)	480,132
C₆.₄(C₄×C₂₀) = C₅×C₂₄⋊C₄	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6.4(C4xC20)	480,134
C₆.₅(C₄×C₂₀) = C₅×C₆.C₄²	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6.5(C4xC20)	480,150
C₆.₆(C₄×C₂₀) = C₁₅×C₂.C₄²	central extension (φ=1)	480		C6.6(C4xC20)	480,198
C₆.₇(C₄×C₂₀) = C₁₅×C₈⋊C₄	central extension (φ=1)	480		C6.7(C4xC20)	480,200

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