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

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

		d	ρ	Label	ID
C₅×C₅⋊C₁₆		80	4	C5xC5:C16	400,56

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₅⋊C₁₆) = C₅²⋊₄C₁₆	φ: C₅⋊C₁₆/C₂₀ → C₄ ⊆ Aut C₅	400		C5:1(C5:C16)	400,58
C₅⋊₂(C₅⋊C₁₆) = C₅²⋊₅C₁₆	φ: C₅⋊C₁₆/C₂₀ → C₄ ⊆ Aut C₅	80	4	C5:2(C5:C16)	400,59
C₅⋊₃(C₅⋊C₁₆) = C₅²⋊₃C₁₆	φ: C₅⋊C₁₆/C₅⋊₂C₈ → C₂ ⊆ Aut C₅	80	4	C5:3(C5:C16)	400,57

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅⋊C₁₆) = C₂₅⋊C₁₆	φ: C₅⋊C₁₆/C₂₀ → C₄ ⊆ Aut C₅	400	4	C5.(C5:C16)	400,3

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