Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅⋊₂C₁₆

Direct product G=N×Q with N=C₆ and Q=C₅⋊₂C₁₆

		d	ρ	Label	ID
C₆×C₅⋊₂C₁₆		480		C6xC5:2C16	480,89

Semidirect products G=N:Q with N=C₆ and Q=C₅⋊₂C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₅⋊₂C₁₆) = C₂×C₁₅⋊₃C₁₆	φ: C₅⋊₂C₁₆/C₄₀ → C₂ ⊆ Aut C₆	480		C6:(C5:2C16)	480,171

Non-split extensions G=N.Q with N=C₆ and Q=C₅⋊₂C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₅⋊₂C₁₆) = C₁₅⋊₃C₃₂	φ: C₅⋊₂C₁₆/C₄₀ → C₂ ⊆ Aut C₆	480	2	C6.(C5:2C16)	480,3
C₆.₂(C₅⋊₂C₁₆) = C₃×C₅⋊₂C₃₂	central extension (φ=1)	480	2	C6.2(C5:2C16)	480,2

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Extensions 1→N→G→Q→1 with N=C6 and Q=C5⋊2C16