Extensions 1→N→G→Q→1 with N=C₈₀ and Q=C₄

Direct product G=NxQ with N=C₈₀ and Q=C₄

		d	ρ	Label	ID
C₄xC₈₀		320		C4xC80	320,150

Semidirect products G=N:Q with N=C₈₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₀:₁C₄ = C₄₀.Q₈	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:1C4	320,71
C₈₀:₂C₄ = C₈₀:₂C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:2C4	320,187
C₈₀:₃C₄ = C₈₀:₃C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:3C4	320,188
C₈₀:₄C₄ = C₈₀:₄C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:4C4	320,185
C₈₀:₅C₄ = C₈₀:₅C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:5C4	320,186
C₈₀:₆C₄ = C₈₀:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:6C4	320,70
C₈₀:₇C₄ = C₁₆xF₅	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:7C4	320,181
C₈₀:₈C₄ = C₁₆:₇F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:8C4	320,182
C₈₀:₉C₄ = C₁₆:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:9C4	320,183
C₈₀:₁₀C₄ = C₁₆:₄F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:10C4	320,184
C₈₀:₁₁C₄ = C₅xC₈.Q₈	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:11C4	320,170
C₈₀:₁₂C₄ = C₅xC₁₆:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	80	4	C80:12C4	320,152
C₈₀:₁₃C₄ = C₈₀:₁₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	320		C80:13C4	320,62
C₈₀:₁₄C₄ = C₈₀:₁₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	320		C80:14C4	320,63
C₈₀:₁₅C₄ = C₅xC₁₆:₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	320		C80:15C4	320,171
C₈₀:₁₆C₄ = C₁₆xDic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	320		C80:16C4	320,58
C₈₀:₁₇C₄ = C₈₀:₁₇C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	320		C80:17C4	320,60
C₈₀:₁₈C₄ = C₅xC₁₆:₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	320		C80:18C4	320,172
C₈₀:₁₉C₄ = C₅xC₁₆:₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	320		C80:19C4	320,151

Non-split extensions G=N.Q with N=C₈₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₀.₁C₄ = C₁₆.F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	160	4	C80.1C4	320,189
C₈₀.₂C₄ = C₈₀.₂C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	160	4	C80.2C4	320,190
C₈₀.₃C₄ = C₅:C₆₄	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	320	4	C80.3C4	320,3
C₈₀.₄C₄ = D₅:C₃₂	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	160	4	C80.4C4	320,179
C₈₀.₅C₄ = C₈₀.C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₈₀	160	4	C80.5C4	320,180
C₈₀.₆C₄ = C₈₀.₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.6C4	320,64
C₈₀.₇C₄ = C₅:₂C₆₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	320	2	C80.7C4	320,1
C₈₀.₈C₄ = C₂xC₅:₂C₃₂	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	320		C80.8C4	320,56
C₈₀.₉C₄ = C₈₀.₉C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.9C4	320,57
C₈₀.₁₀C₄ = C₅xC₈.₄Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.10C4	320,173
C₈₀.₁₁C₄ = C₅xM₆(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₈₀	160	2	C80.11C4	320,175

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