Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅×SD₁₆

Direct product G=N×Q with N=C₆ and Q=C₅×SD₁₆

		d	ρ	Label	ID
SD₁₆×C₃₀		240		SD16xC30	480,938

Semidirect products G=N:Q with N=C₆ and Q=C₅×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₅×SD₁₆) = C₁₀×C₂₄⋊C₂	φ: C₅×SD₁₆/C₄₀ → C₂ ⊆ Aut C₆	240		C6:1(C5xSD16)	480,781
C₆⋊₂(C₅×SD₁₆) = C₁₀×D₄.S₃	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6:2(C5xSD16)	480,812
C₆⋊₃(C₅×SD₁₆) = C₁₀×Q₈⋊₂S₃	φ: C₅×SD₁₆/C₅×Q₈ → C₂ ⊆ Aut C₆	240		C6:3(C5xSD16)	480,820

Non-split extensions G=N.Q with N=C₆ and Q=C₅×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₅×SD₁₆) = C₅×C₂.Dic₁₂	φ: C₅×SD₁₆/C₄₀ → C₂ ⊆ Aut C₆	480		C6.1(C5xSD16)	480,135
C₆.₂(C₅×SD₁₆) = C₅×C₈⋊Dic₃	φ: C₅×SD₁₆/C₄₀ → C₂ ⊆ Aut C₆	480		C6.2(C5xSD16)	480,136
C₆.₃(C₅×SD₁₆) = C₅×C₂.D₂₄	φ: C₅×SD₁₆/C₄₀ → C₂ ⊆ Aut C₆	240		C6.3(C5xSD16)	480,140
C₆.₄(C₅×SD₁₆) = C₅×C₆.SD₁₆	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₆	480		C6.4(C5xSD16)	480,129
C₆.₅(C₅×SD₁₆) = C₅×D₄⋊Dic₃	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.5(C5xSD16)	480,151
C₆.₆(C₅×SD₁₆) = C₅×C₁₂.Q₈	φ: C₅×SD₁₆/C₅×Q₈ → C₂ ⊆ Aut C₆	480		C6.6(C5xSD16)	480,127
C₆.₇(C₅×SD₁₆) = C₅×C₆.D₈	φ: C₅×SD₁₆/C₅×Q₈ → C₂ ⊆ Aut C₆	240		C6.7(C5xSD16)	480,128
C₆.₈(C₅×SD₁₆) = C₅×Q₈⋊₂Dic₃	φ: C₅×SD₁₆/C₅×Q₈ → C₂ ⊆ Aut C₆	480		C6.8(C5xSD16)	480,154
C₆.₉(C₅×SD₁₆) = C₁₅×D₄⋊C₄	central extension (φ=1)	240		C6.9(C5xSD16)	480,205
C₆.₁₀(C₅×SD₁₆) = C₁₅×Q₈⋊C₄	central extension (φ=1)	480		C6.10(C5xSD16)	480,206
C₆.₁₁(C₅×SD₁₆) = C₁₅×C₄.Q₈	central extension (φ=1)	480		C6.11(C5xSD16)	480,209

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