Extensions 1→N→G→Q→1 with N=C₁₅:D₄ and Q=C₂²

Direct product G=NxQ with N=C₁₅:D₄ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₁₅:D₄		240		C2^2xC15:D4	480,1118

Semidirect products G=N:Q with N=C₁₅:D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅:D₄:₁C₂² = D₂₀:₂₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:D₄	120	4	C15:D4:1C2^2	480,1093
C₁₅:D₄:₂C₂² = D₂₀:₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:D₄	120	4	C15:D4:2C2^2	480,1094
C₁₅:D₄:₃C₂² = S₃xD₄xD₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:D₄	60	8+	C15:D4:3C2^2	480,1097
C₁₅:D₄:₄C₂² = D₅xD₄:₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:D₄	120	8-	C15:D4:4C2^2	480,1098
C₁₅:D₄:₅C₂² = S₃xD₄:₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:D₄	120	8-	C15:D4:5C2^2	480,1099
C₁₅:D₄:₆C₂² = D₂₀:₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:D₄	120	8-	C15:D4:6C2^2	480,1110
C₁₅:D₄:₇C₂² = C₁₅:2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:D₄	120	4	C15:D4:7C2^2	480,1125
C₁₅:D₄:₈C₂² = C₂xD₂₀:₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	240		C15:D4:8C2^2	480,1074
C₁₅:D₄:₉C₂² = C₂xD₁₂:₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	240		C15:D4:9C2^2	480,1084
C₁₅:D₄:₁₀C₂² = C₂xC₂₀:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	120		C15:D4:10C2^2	480,1089
C₁₅:D₄:₁₁C₂² = D₅xC₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	120	4	C15:D4:11C2^2	480,1090
C₁₅:D₄:₁₂C₂² = S₃xC₄oD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	120	4	C15:D4:12C2^2	480,1091
C₁₅:D₄:₁₃C₂² = D₂₀:₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	120	4	C15:D4:13C2^2	480,1092
C₁₅:D₄:₁₄C₂² = D₂₀:₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	120	8-	C15:D4:14C2^2	480,1101
C₁₅:D₄:₁₅C₂² = D₂₀:₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	120	8+	C15:D4:15C2^2	480,1102
C₁₅:D₄:₁₆C₂² = D₁₂:₁₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	120	8+	C15:D4:16C2^2	480,1103
C₁₅:D₄:₁₇C₂² = D₂₀:₁₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	120	8+	C15:D4:17C2^2	480,1111
C₁₅:D₄:₁₈C₂² = C₂xC₃₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	240		C15:D4:18C2^2	480,1114
C₁₅:D₄:₁₉C₂² = C₂xD₅xC₃:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	120		C15:D4:19C2^2	480,1122
C₁₅:D₄:₂₀C₂² = C₂xS₃xC₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	120		C15:D4:20C2^2	480,1123
C₁₅:D₄:₂₁C₂² = C₂xD₆.D₁₀	φ: trivial image	240		C15:D4:21C2^2	480,1083

Non-split extensions G=N.Q with N=C₁₅:D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅:D₄.C₂² = D₂₀.₃₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:D₄	240	4-	C15:D4.C2^2	480,1077
C₁₅:D₄.₂C₂² = C₁₅:2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	240	8-	C15:D4.2C2^2	480,1096
C₁₅:D₄.₃C₂² = D₂₀.₂₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	240	8-	C15:D4.3C2^2	480,1104
C₁₅:D₄.₄C₂² = D₁₂.₂₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:D₄	240	8-	C15:D4.4C2^2	480,1106
C₁₅:D₄.₅C₂² = C₃₀.₃₃C₂⁴	φ: trivial image	240	8+	C15:D4.5C2^2	480,1105

Extensions 1→N→G→Q→1 with N=C15:D4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₅:D₄ and Q=C₂²