Extensions 1→N→G→Q→1 with N=C₁₆ and Q=F₅

Direct product G=N×Q with N=C₁₆ and Q=F₅

		d	ρ	Label	ID
C₁₆×F₅		80	4	C16xF5	320,181

Semidirect products G=N:Q with N=C₁₆ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁F₅ = C₈₀⋊₄C₄	φ: F₅/C₅ → C₄ ⊆ Aut C₁₆	80	4	C16:1F5	320,185
C₁₆⋊₂F₅ = C₈₀⋊₅C₄	φ: F₅/C₅ → C₄ ⊆ Aut C₁₆	80	4	C16:2F5	320,186
C₁₆⋊₃F₅ = C₁₆⋊F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₁₆	80	4	C16:3F5	320,183
C₁₆⋊₄F₅ = C₁₆⋊₄F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₁₆	80	4	C16:4F5	320,184
C₁₆⋊₅F₅ = C₈₀⋊₂C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₁₆	80	4	C16:5F5	320,187
C₁₆⋊₆F₅ = C₈₀⋊₃C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₁₆	80	4	C16:6F5	320,188
C₁₆⋊₇F₅ = C₁₆⋊₇F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₁₆	80	4	C16:7F5	320,182

Non-split extensions G=N.Q with N=C₁₆ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁F₅ = C₁₆.F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₁₆	160	4	C16.1F5	320,189
C₁₆.₂F₅ = C₈₀.₂C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₁₆	160	4	C16.2F5	320,190
C₁₆.₃F₅ = C₈₀.C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₁₆	160	4	C16.3F5	320,180
C₁₆.₄F₅ = C₅⋊C₆₄	central extension (φ=1)	320	4	C16.4F5	320,3
C₁₆.₅F₅ = D₅⋊C₃₂	central extension (φ=1)	160	4	C16.5F5	320,179

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