Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃xF₅

Direct product G=NxQ with N=C₄ and Q=S₃xF₅

		d	ρ	Label	ID
C₄xS₃xF₅		60	8	C4xS3xF5	480,994

Semidirect products G=N:Q with N=C₄ and Q=S₃xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(S₃xF₅) = F₅xD₁₂	φ: S₃xF₅/C₃xF₅ → C₂ ⊆ Aut C₄	60	8+	C4:1(S3xF5)	480,995
C₄:₂(S₃xF₅) = D₆₀:₃C₄	φ: S₃xF₅/C₃:F₅ → C₂ ⊆ Aut C₄	60	8+	C4:2(S3xF5)	480,997
C₄:₃(S₃xF₅) = S₃xC₄:F₅	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₄	60	8	C4:3(S3xF5)	480,996

Non-split extensions G=N.Q with N=C₄ and Q=S₃xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(S₃xF₅) = D₁₂:F₅	φ: S₃xF₅/C₃xF₅ → C₂ ⊆ Aut C₄	120	8+	C4.1(S3xF5)	480,228
C₄.₂(S₃xF₅) = Dic₃₀:C₄	φ: S₃xF₅/C₃xF₅ → C₂ ⊆ Aut C₄	120	8-	C4.2(S3xF5)	480,230
C₄.₃(S₃xF₅) = D₁₂:₂F₅	φ: S₃xF₅/C₃xF₅ → C₂ ⊆ Aut C₄	120	8-	C4.3(S3xF5)	480,232
C₄.₄(S₃xF₅) = D₆₀:₅C₄	φ: S₃xF₅/C₃xF₅ → C₂ ⊆ Aut C₄	120	8+	C4.4(S3xF5)	480,234
C₄.₅(S₃xF₅) = F₅xDic₆	φ: S₃xF₅/C₃xF₅ → C₂ ⊆ Aut C₄	120	8-	C4.5(S3xF5)	480,982
C₄.₆(S₃xF₅) = D₁₂.₂F₅	φ: S₃xF₅/C₃xF₅ → C₂ ⊆ Aut C₄	240	8-	C4.6(S3xF5)	480,987
C₄.₇(S₃xF₅) = D₆₀.C₄	φ: S₃xF₅/C₃xF₅ → C₂ ⊆ Aut C₄	240	8+	C4.7(S3xF5)	480,990
C₄.₈(S₃xF₅) = D₆₀:C₄	φ: S₃xF₅/C₃:F₅ → C₂ ⊆ Aut C₄	120	8+	C4.8(S3xF5)	480,227
C₄.₉(S₃xF₅) = Dic₆:F₅	φ: S₃xF₅/C₃:F₅ → C₂ ⊆ Aut C₄	120	8-	C4.9(S3xF5)	480,229
C₄.₁₀(S₃xF₅) = D₁₂:₄F₅	φ: S₃xF₅/C₃:F₅ → C₂ ⊆ Aut C₄	120	8-	C4.10(S3xF5)	480,231
C₄.₁₁(S₃xF₅) = D₆₀:₂C₄	φ: S₃xF₅/C₃:F₅ → C₂ ⊆ Aut C₄	120	8+	C4.11(S3xF5)	480,233
C₄.₁₂(S₃xF₅) = Dic₆:₅F₅	φ: S₃xF₅/C₃:F₅ → C₂ ⊆ Aut C₄	120	8-	C4.12(S3xF5)	480,984
C₄.₁₃(S₃xF₅) = D₁₂.F₅	φ: S₃xF₅/C₃:F₅ → C₂ ⊆ Aut C₄	240	8-	C4.13(S3xF5)	480,989
C₄.₁₄(S₃xF₅) = Dic₆.F₅	φ: S₃xF₅/C₃:F₅ → C₂ ⊆ Aut C₄	240	8+	C4.14(S3xF5)	480,992
C₄.₁₅(S₃xF₅) = Dic₅.Dic₆	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₄	120	8	C4.15(S3xF5)	480,235
C₄.₁₆(S₃xF₅) = Dic₅.₄Dic₆	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₄	120	8	C4.16(S3xF5)	480,236
C₄.₁₇(S₃xF₅) = D₁₀.Dic₆	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₄	240	8	C4.17(S3xF5)	480,237
C₄.₁₈(S₃xF₅) = D₁₀.₂Dic₆	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₄	240	8	C4.18(S3xF5)	480,238
C₄.₁₉(S₃xF₅) = C₄:F₅:₃S₃	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₄	120	8	C4.19(S3xF5)	480,983
C₄.₂₀(S₃xF₅) = S₃xC₄.F₅	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₄	120	8	C4.20(S3xF5)	480,988
C₄.₂₁(S₃xF₅) = D₁₅:M₄(2)	φ: S₃xF₅/S₃xD₅ → C₂ ⊆ Aut C₄	120	8	C4.21(S3xF5)	480,991
C₄.₂₂(S₃xF₅) = F₅xC₃:C₈	central extension (φ=1)	120	8	C4.22(S3xF5)	480,223
C₄.₂₃(S₃xF₅) = C₃₀.C₄²	central extension (φ=1)	120	8	C4.23(S3xF5)	480,224
C₄.₂₄(S₃xF₅) = C₃₀.₃C₄²	central extension (φ=1)	120	8	C4.24(S3xF5)	480,225
C₄.₂₅(S₃xF₅) = C₃₀.₄C₄²	central extension (φ=1)	120	8	C4.25(S3xF5)	480,226
C₄.₂₆(S₃xF₅) = S₃xC₅:C₁₆	central extension (φ=1)	240	8	C4.26(S3xF5)	480,239
C₄.₂₇(S₃xF₅) = D₁₅:C₁₆	central extension (φ=1)	240	8	C4.27(S3xF5)	480,240
C₄.₂₈(S₃xF₅) = C₁₅:M₅(2)	central extension (φ=1)	240	8	C4.28(S3xF5)	480,241
C₄.₂₉(S₃xF₅) = D₃₀.C₈	central extension (φ=1)	240	8	C4.29(S3xF5)	480,242
C₄.₃₀(S₃xF₅) = (C₄xS₃):F₅	central extension (φ=1)	120	8	C4.30(S3xF5)	480,985
C₄.₃₁(S₃xF₅) = S₃xD₅:C₈	central extension (φ=1)	120	8	C4.31(S3xF5)	480,986
C₄.₃₂(S₃xF₅) = C₅:C₈:D₆	central extension (φ=1)	120	8	C4.32(S3xF5)	480,993

Extensions 1→N→G→Q→1 with N=C4 and Q=S3xF5

Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃xF₅