Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅⋊Q₁₆

Direct product G=N×Q with N=C₅ and Q=C₅⋊Q₁₆

		d	ρ	Label	ID
C₅×C₅⋊Q₁₆		80	4	C5xC5:Q16	400,90

Semidirect products G=N:Q with N=C₅ and Q=C₅⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₅⋊Q₁₆) = C₅²⋊₃Q₁₆	φ: C₅⋊Q₁₆/C₅⋊₂C₈ → C₂ ⊆ Aut C₅	80	4-	C5:1(C5:Q16)	400,70
C₅⋊₂(C₅⋊Q₁₆) = C₅²⋊₂Q₁₆	φ: C₅⋊Q₁₆/Dic₁₀ → C₂ ⊆ Aut C₅	80	4	C5:2(C5:Q16)	400,69
C₅⋊₃(C₅⋊Q₁₆) = C₅²⋊₇Q₁₆	φ: C₅⋊Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₅	400		C5:3(C5:Q16)	400,106

Non-split extensions G=N.Q with N=C₅ and Q=C₅⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅⋊Q₁₆) = C₂₅⋊Q₁₆	φ: C₅⋊Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₅	400	4-	C5.(C5:Q16)	400,17

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Extensions 1→N→G→Q→1 with N=C5 and Q=C5⋊Q16