Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅×Q₁₆

Direct product G=N×Q with N=C₆ and Q=C₅×Q₁₆

		d	ρ	Label	ID
Q₁₆×C₃₀		480		Q16xC30	480,939

Semidirect products G=N:Q with N=C₆ and Q=C₅×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₅×Q₁₆) = C₁₀×Dic₁₂	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₆	480		C6:1(C5xQ16)	480,784
C₆⋊₂(C₅×Q₁₆) = C₁₀×C₃⋊Q₁₆	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₆	480		C6:2(C5xQ16)	480,822

Non-split extensions G=N.Q with N=C₆ and Q=C₅×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₅×Q₁₆) = C₅×C₂.Dic₁₂	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₆	480		C6.1(C5xQ16)	480,135
C₆.₂(C₅×Q₁₆) = C₅×C₂₄⋊₁C₄	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₆	480		C6.2(C5xQ16)	480,137
C₆.₃(C₅×Q₁₆) = C₅×C₆.Q₁₆	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₆	480		C6.3(C5xQ16)	480,126
C₆.₄(C₅×Q₁₆) = C₅×C₆.SD₁₆	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₆	480		C6.4(C5xQ16)	480,129
C₆.₅(C₅×Q₁₆) = C₅×Q₈⋊₂Dic₃	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₆	480		C6.5(C5xQ16)	480,154
C₆.₆(C₅×Q₁₆) = C₁₅×Q₈⋊C₄	central extension (φ=1)	480		C6.6(C5xQ16)	480,206
C₆.₇(C₅×Q₁₆) = C₁₅×C₂.D₈	central extension (φ=1)	480		C6.7(C5xQ16)	480,210

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