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

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

		d	ρ	Label	ID
C₅×C₅⋊₂C₁₆		80	2	C5xC5:2C16	400,49

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₅⋊₂C₁₆) = C₅²⋊₃C₁₆	φ: C₅⋊₂C₁₆/C₂₀ → C₄ ⊆ Aut C₅	80	4	C5:(C5:2C16)	400,57
C₅⋊₂(C₅⋊₂C₁₆) = C₅²⋊₇C₁₆	φ: C₅⋊₂C₁₆/C₄₀ → C₂ ⊆ Aut C₅	400		C5:2(C5:2C16)	400,50

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅⋊₂C₁₆) = C₂₅⋊₂C₁₆	φ: C₅⋊₂C₁₆/C₄₀ → C₂ ⊆ Aut C₅	400	2	C5.(C5:2C16)	400,1

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