Extensions 1→N→G→Q→1 with N=C₄² and Q=F₅

Direct product G=N×Q with N=C₄² and Q=F₅

		d	ρ	Label	ID
C₄²×F₅		80		C4^2xF5	320,1023

Semidirect products G=N:Q with N=C₄² and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁F₅ = C₄²⋊F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₄²	40	4+	C4^2:1F5	320,191
C₄²⋊₂F₅ = C₄²⋊₂F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2:2F5	320,192
C₄²⋊₃F₅ = C₄²⋊₃F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2:3F5	320,201
C₄²⋊₄F₅ = C₄²⋊₄F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	80		C4^2:4F5	320,1024
C₄²⋊₅F₅ = C₄²⋊₅F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	80		C4^2:5F5	320,1028
C₄²⋊₆F₅ = C₄²⋊₆F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	40	4	C4^2:6F5	320,200
C₄²⋊₇F₅ = C₄×C₄⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	80		C4^2:7F5	320,1025
C₄²⋊₈F₅ = C₄²⋊₈F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	80		C4^2:8F5	320,1026
C₄²⋊₉F₅ = C₄²⋊₉F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	80		C4^2:9F5	320,1027

Non-split extensions G=N.Q with N=C₄² and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁F₅ = C₄².F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₄²	80	4-	C4^2.1F5	320,193
C₄².₂F₅ = C₄².₂F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2.2F5	320,194
C₄².₃F₅ = C₄².₃F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2.3F5	320,198
C₄².₄F₅ = C₄².₄F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	320		C4^2.4F5	320,197
C₄².₅F₅ = C₄².₅F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	160		C4^2.5F5	320,1014
C₄².₆F₅ = C₄².₆F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	160		C4^2.6F5	320,1016
C₄².₇F₅ = C₄².₇F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	160		C4^2.7F5	320,1022
C₄².₈F₅ = C₂₀⋊C₁₆	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	320		C4^2.8F5	320,196
C₄².₉F₅ = C₄².₉F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	80	4	C4^2.9F5	320,199
C₄².₁₀F₅ = C₄×C₄.F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	160		C4^2.10F5	320,1015
C₄².₁₁F₅ = C₄².₁₁F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	160		C4^2.11F5	320,1017
C₄².₁₂F₅ = C₄².₁₂F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	160		C4^2.12F5	320,1018
C₄².₁₃F₅ = C₂₀⋊₃M₄(2)	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	160		C4^2.13F5	320,1019
C₄².₁₄F₅ = C₄².₁₄F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	160		C4^2.14F5	320,1020
C₄².₁₅F₅ = C₄².₁₅F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄²	160		C4^2.15F5	320,1021
C₄².₁₆F₅ = C₄×C₅⋊C₁₆	central extension (φ=1)	320		C4^2.16F5	320,195
C₄².₁₇F₅ = C₄×D₅⋊C₈	central extension (φ=1)	160		C4^2.17F5	320,1013

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