Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃xF₅

Direct product G=NxQ with N=C₂² and Q=S₃xF₅

		d	ρ	Label	ID
C₂²xS₃xF₅		60		C2^2xS3xF5	480,1197

Semidirect products G=N:Q with N=C₂² and Q=S₃xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(S₃xF₅) = F₅xS₄	φ: S₃xF₅/F₅ → S₃ ⊆ Aut C₂²	20	12+	C2^2:(S3xF5)	480,1189
C₂²:₂(S₃xF₅) = F₅xC₃:D₄	φ: S₃xF₅/C₃xF₅ → C₂ ⊆ Aut C₂²	60	8	C2^2:2(S3xF5)	480,1010
C₂²:₃(S₃xF₅) = C₃:D₄:F₅	φ: S₃xF₅/C₃:F₅ → C₂ ⊆ Aut C₂²	60	8	C2^2:3(S3xF5)	480,1012
C₂²:₄(S₃xF₅) = S₃xC₂²:F₅	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₂²	60	8+	C2^2:4(S3xF5)	480,1011

Non-split extensions G=N.Q with N=C₂² and Q=S₃xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(S₃xF₅) = C₅:C₈.D₆	φ: S₃xF₅/C₃xF₅ → C₂ ⊆ Aut C₂²	240	8	C2^2.1(S3xF5)	480,1003
C₂².₂(S₃xF₅) = D₁₅:C₈:C₂	φ: S₃xF₅/C₃:F₅ → C₂ ⊆ Aut C₂²	240	8	C2^2.2(S3xF5)	480,1005
C₂².₃(S₃xF₅) = D₁₀.D₁₂	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₂²	120	8-	C2^2.3(S3xF5)	480,248
C₂².₄(S₃xF₅) = D₁₀.₄D₁₂	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₂²	120	8+	C2^2.4(S3xF5)	480,249
C₂².₅(S₃xF₅) = Dic₅.D₁₂	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₂²	120	8+	C2^2.5(S3xF5)	480,250
C₂².₆(S₃xF₅) = Dic₅.₄D₁₂	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₂²	240	8-	C2^2.6(S3xF5)	480,251
C₂².₇(S₃xF₅) = C₂²:F₅.S₃	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₂²	120	8-	C2^2.7(S3xF5)	480,999
C₂².₈(S₃xF₅) = S₃xC₂².F₅	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₂²	120	8-	C2^2.8(S3xF5)	480,1004
C₂².₉(S₃xF₅) = D₁₅:₂M₄(2)	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₂²	120	8+	C2^2.9(S3xF5)	480,1007
C₂².₁₀(S₃xF₅) = D₁₀.₂₀D₁₂	central extension (φ=1)	120		C2^2.10(S3xF5)	480,243
C₂².₁₁(S₃xF₅) = Dic₃xC₅:C₈	central extension (φ=1)	480		C2^2.11(S3xF5)	480,244
C₂².₁₂(S₃xF₅) = C₃₀.M₄(2)	central extension (φ=1)	480		C2^2.12(S3xF5)	480,245
C₂².₁₃(S₃xF₅) = Dic₅.₂₂D₁₂	central extension (φ=1)	240		C2^2.13(S3xF5)	480,246
C₂².₁₄(S₃xF₅) = D₃₀:C₈	central extension (φ=1)	240		C2^2.14(S3xF5)	480,247
C₂².₁₅(S₃xF₅) = C₃₀.₄M₄(2)	central extension (φ=1)	480		C2^2.15(S3xF5)	480,252
C₂².₁₆(S₃xF₅) = Dic₁₅:C₈	central extension (φ=1)	480		C2^2.16(S3xF5)	480,253
C₂².₁₇(S₃xF₅) = C₂xDic₃xF₅	central extension (φ=1)	120		C2^2.17(S3xF5)	480,998
C₂².₁₈(S₃xF₅) = C₂xD₆:F₅	central extension (φ=1)	120		C2^2.18(S3xF5)	480,1000
C₂².₁₉(S₃xF₅) = C₂xDic₃:F₅	central extension (φ=1)	120		C2^2.19(S3xF5)	480,1001
C₂².₂₀(S₃xF₅) = C₂xS₃xC₅:C₈	central extension (φ=1)	240		C2^2.20(S3xF5)	480,1002
C₂².₂₁(S₃xF₅) = C₂xD₁₅:C₈	central extension (φ=1)	240		C2^2.21(S3xF5)	480,1006
C₂².₂₂(S₃xF₅) = C₂xD₆.F₅	central extension (φ=1)	240		C2^2.22(S3xF5)	480,1008
C₂².₂₃(S₃xF₅) = C₂xDic₃.F₅	central extension (φ=1)	240		C2^2.23(S3xF5)	480,1009

Extensions 1→N→G→Q→1 with N=C22 and Q=S3xF5

Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃xF₅