Extensions 1→N→G→Q→1 with N=C₃:D₂₀ and Q=C₂²

Direct product G=NxQ with N=C₃:D₂₀ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₃:D₂₀		240		C2^2xC3:D20	480,1119

Semidirect products G=N:Q with N=C₃:D₂₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:D₂₀:₁C₂² = D₂₀:₂₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:D₂₀	120	4	C3:D20:1C2^2	480,1093
C₃:D₂₀:₂C₂² = D₂₀:₂₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:D₂₀	120	4+	C3:D20:2C2^2	480,1095
C₃:D₂₀:₃C₂² = S₃xD₄xD₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃:D₂₀	60	8+	C3:D20:3C2^2	480,1097
C₃:D₂₀:₄C₂² = D₅xD₄:₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃:D₂₀	120	8-	C3:D20:4C2^2	480,1098
C₃:D₂₀:₅C₂² = D₃₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₃:D₂₀	120	8+	C3:D20:5C2^2	480,1100
C₃:D₂₀:₆C₂² = S₃xQ₈:₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₃:D₂₀	120	8+	C3:D20:6C2^2	480,1109
C₃:D₂₀:₇C₂² = C₁₅:2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₃:D₂₀	120	4	C3:D20:7C2^2	480,1125
C₃:D₂₀:₈C₂² = C₂xD₂₀:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	240		C3:D20:8C2^2	480,1075
C₃:D₂₀:₉C₂² = C₂xC₁₂.₂₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	240		C3:D20:9C2^2	480,1085
C₃:D₂₀:₁₀C₂² = C₂xS₃xD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	120		C3:D20:10C2^2	480,1088
C₃:D₂₀:₁₁C₂² = D₅xC₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	120	4	C3:D20:11C2^2	480,1090
C₃:D₂₀:₁₂C₂² = S₃xC₄oD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	120	4	C3:D20:12C2^2	480,1091
C₃:D₂₀:₁₃C₂² = D₂₀:₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	120	4	C3:D20:13C2^2	480,1092
C₃:D₂₀:₁₄C₂² = D₂₀:₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	120	8-	C3:D20:14C2^2	480,1101
C₃:D₂₀:₁₅C₂² = D₁₂:₁₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	120	8+	C3:D20:15C2^2	480,1103
C₃:D₂₀:₁₆C₂² = D₂₀:₁₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	120	8+	C3:D20:16C2^2	480,1111
C₃:D₂₀:₁₇C₂² = C₂xDic₅.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	240		C3:D20:17C2^2	480,1113
C₃:D₂₀:₁₈C₂² = C₂xD₅xC₃:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	120		C3:D20:18C2^2	480,1122
C₃:D₂₀:₁₉C₂² = C₂xD₁₀:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	120		C3:D20:19C2^2	480,1124
C₃:D₂₀:₂₀C₂² = C₂xD₆.D₁₀	φ: trivial image	240		C3:D20:20C2^2	480,1083
C₃:D₂₀:₂₁C₂² = D₂₀:₁₄D₆	φ: trivial image	120	8+	C3:D20:21C2^2	480,1102

Non-split extensions G=N.Q with N=C₃:D₂₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:D₂₀.C₂² = D₂₀.₃₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:D₂₀	240	4	C3:D20.C2^2	480,1076
C₃:D₂₀.₂C₂² = C₁₅:2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	240	8-	C3:D20.2C2^2	480,1096
C₃:D₂₀.₃C₂² = D₂₀.₂₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	240	8-	C3:D20.3C2^2	480,1104
C₃:D₂₀.₄C₂² = C₃₀.₃₃C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₃:D₂₀	240	8+	C3:D20.4C2^2	480,1105
C₃:D₂₀.₅C₂² = D₁₂.₂₉D₁₀	φ: trivial image	240	8-	C3:D20.5C2^2	480,1106

Extensions 1→N→G→Q→1 with N=C3:D20 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃:D₂₀ and Q=C₂²