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

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

		d	ρ	Label	ID
C₆×C₅⋊C₁₆		480		C6xC5:C16	480,277

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₅⋊C₁₆) = C₂×C₁₅⋊C₁₆	φ: C₅⋊C₁₆/C₅⋊₂C₈ → C₂ ⊆ Aut C₆	480		C6:(C5:C16)	480,302

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₅⋊C₁₆) = C₁₅⋊C₃₂	φ: C₅⋊C₁₆/C₅⋊₂C₈ → C₂ ⊆ Aut C₆	480	4	C6.(C5:C16)	480,6
C₆.₂(C₅⋊C₁₆) = C₃×C₅⋊C₃₂	central extension (φ=1)	480	4	C6.2(C5:C16)	480,5

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