Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄xF₅

Direct product G=NxQ with N=C₂² and Q=C₄xF₅

		d	ρ	Label	ID
C₂²xC₄xF₅		80		C2^2xC4xF5	320,1590

Semidirect products G=N:Q with N=C₂² and Q=C₄xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₄xF₅) = C₄xC₂²:F₅	φ: C₄xF₅/C₄xD₅ → C₂ ⊆ Aut C₂²	80		C2^2:1(C4xF5)	320,1101
C₂²:₂(C₄xF₅) = C₂²:C₄xF₅	φ: C₄xF₅/C₂xF₅ → C₂ ⊆ Aut C₂²	40		C2^2:2(C4xF5)	320,1036

Non-split extensions G=N.Q with N=C₂² and Q=C₄xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₄xF₅) = (C₂xC₈):F₅	φ: C₄xF₅/C₄xD₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.1(C4xF5)	320,232
C₂².₂(C₄xF₅) = C₂²:F₅:C₄	φ: C₄xF₅/C₄xD₅ → C₂ ⊆ Aut C₂²	80		C2^2.2(C4xF5)	320,255
C₂².₃(C₄xF₅) = C₂².F₅:C₄	φ: C₄xF₅/C₄xD₅ → C₂ ⊆ Aut C₂²	160		C2^2.3(C4xF5)	320,257
C₂².₄(C₄xF₅) = C₂₀.₁₂C₄²	φ: C₄xF₅/C₄xD₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.4(C4xF5)	320,1056
C₂².₅(C₄xF₅) = C₄xC₂².F₅	φ: C₄xF₅/C₄xD₅ → C₂ ⊆ Aut C₂²	160		C2^2.5(C4xF5)	320,1088
C₂².₆(C₄xF₅) = (C₂²xF₅):C₄	φ: C₄xF₅/C₂xF₅ → C₂ ⊆ Aut C₂²	40	8+	C2^2.6(C4xF5)	320,204
C₂².₇(C₄xF₅) = C₂²:C₄.F₅	φ: C₄xF₅/C₂xF₅ → C₂ ⊆ Aut C₂²	80	8-	C2^2.7(C4xF5)	320,205
C₂².₈(C₄xF₅) = M₄(2):F₅	φ: C₄xF₅/C₂xF₅ → C₂ ⊆ Aut C₂²	40	8	C2^2.8(C4xF5)	320,237
C₂².₉(C₄xF₅) = M₄(2):₄F₅	φ: C₄xF₅/C₂xF₅ → C₂ ⊆ Aut C₂²	80	8	C2^2.9(C4xF5)	320,240
C₂².₁₀(C₄xF₅) = Dic₅.C₄²	φ: C₄xF₅/C₂xF₅ → C₂ ⊆ Aut C₂²	160		C2^2.10(C4xF5)	320,1029
C₂².₁₁(C₄xF₅) = M₄(2)xF₅	φ: C₄xF₅/C₂xF₅ → C₂ ⊆ Aut C₂²	40	8	C2^2.11(C4xF5)	320,1064
C₂².₁₂(C₄xF₅) = M₄(2):₅F₅	φ: C₄xF₅/C₂xF₅ → C₂ ⊆ Aut C₂²	80	8	C2^2.12(C4xF5)	320,1066
C₂².₁₃(C₄xF₅) = C₈xC₅:C₈	central extension (φ=1)	320		C2^2.13(C4xF5)	320,216
C₂².₁₄(C₄xF₅) = C₄₀:C₈	central extension (φ=1)	320		C2^2.14(C4xF5)	320,217
C₂².₁₅(C₄xF₅) = C₂₀.₃₁M₄(2)	central extension (φ=1)	320		C2^2.15(C4xF5)	320,218
C₂².₁₆(C₄xF₅) = D₁₀.₃M₄(2)	central extension (φ=1)	80		C2^2.16(C4xF5)	320,230
C₂².₁₇(C₄xF₅) = C₁₀.(C₄:C₈)	central extension (φ=1)	320		C2^2.17(C4xF5)	320,256
C₂².₁₈(C₄xF₅) = C₂xC₈xF₅	central extension (φ=1)	80		C2^2.18(C4xF5)	320,1054
C₂².₁₉(C₄xF₅) = C₂xC₈:F₅	central extension (φ=1)	80		C2^2.19(C4xF5)	320,1055
C₂².₂₀(C₄xF₅) = C₂xC₄xC₅:C₈	central extension (φ=1)	320		C2^2.20(C4xF5)	320,1084
C₂².₂₁(C₄xF₅) = C₂xC₁₀.C₄²	central extension (φ=1)	320		C2^2.21(C4xF5)	320,1087
C₂².₂₂(C₄xF₅) = C₂xD₁₀.₃Q₈	central extension (φ=1)	80		C2^2.22(C4xF5)	320,1100

Extensions 1→N→G→Q→1 with N=C22 and Q=C4xF5

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄xF₅