Extensions 1→N→G→Q→1 with N=C₁₆ and Q=Dic₅

Direct product G=N×Q with N=C₁₆ and Q=Dic₅

		d	ρ	Label	ID
C₁₆×Dic₅		320		C16xDic5	320,58

Semidirect products G=N:Q with N=C₁₆ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁Dic₅ = C₄₀.Q₈	φ: Dic₅/C₅ → C₄ ⊆ Aut C₁₆	80	4	C16:1Dic5	320,71
C₁₆⋊₂Dic₅ = C₈₀⋊C₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₁₆	80	4	C16:2Dic5	320,70
C₁₆⋊₃Dic₅ = C₈₀⋊₁₃C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₆	320		C16:3Dic5	320,62
C₁₆⋊₄Dic₅ = C₈₀⋊₁₄C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₆	320		C16:4Dic5	320,63
C₁₆⋊₅Dic₅ = C₈₀⋊₁₇C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₆	320		C16:5Dic5	320,60

Non-split extensions G=N.Q with N=C₁₆ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁Dic₅ = C₈₀.₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₆	160	2	C16.1Dic5	320,64
C₁₆.₂Dic₅ = C₈₀.₉C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₆	160	2	C16.2Dic5	320,57
C₁₆.₃Dic₅ = C₅⋊₂C₆₄	central extension (φ=1)	320	2	C16.3Dic5	320,1
C₁₆.₄Dic₅ = C₂×C₅⋊₂C₃₂	central extension (φ=1)	320		C16.4Dic5	320,56

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