Extensions 1→N→G→Q→1 with N=C₁₅:₇D₄ and Q=C₂²

Direct product G=NxQ with N=C₁₅:₇D₄ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₁₅:₇D₄		240		C2^2xC15:7D4	480,1179

Semidirect products G=N:Q with N=C₁₅:₇D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅:₇D₄:₁C₂² = S₃xD₄xD₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:₇D₄	60	8+	C15:7D4:1C2^2	480,1097
C₁₅:₇D₄:₂C₂² = D₅xD₄:₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:₇D₄	120	8-	C15:7D4:2C2^2	480,1098
C₁₅:₇D₄:₃C₂² = S₃xD₄:₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:₇D₄	120	8-	C15:7D4:3C2^2	480,1099
C₁₅:₇D₄:₄C₂² = D₃₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:₇D₄	120	8+	C15:7D4:4C2^2	480,1100
C₁₅:₇D₄:₅C₂² = D₂₀:₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:₇D₄	120	8-	C15:7D4:5C2^2	480,1101
C₁₅:₇D₄:₆C₂² = D₂₀:₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:₇D₄	120	8+	C15:7D4:6C2^2	480,1102
C₁₅:₇D₄:₇C₂² = D₁₂:₁₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:₇D₄	120	8+	C15:7D4:7C2^2	480,1103
C₁₅:₇D₄:₈C₂² = C₂xD₄xD₁₅	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120		C15:7D4:8C2^2	480,1169
C₁₅:₇D₄:₉C₂² = C₂xD₄:₂D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	240		C15:7D4:9C2^2	480,1170
C₁₅:₇D₄:₁₀C₂² = D₄:₆D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120	4	C15:7D4:10C2^2	480,1171
C₁₅:₇D₄:₁₁C₂² = C₄oD₄xD₁₅	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120	4	C15:7D4:11C2^2	480,1175
C₁₅:₇D₄:₁₂C₂² = D₄:₈D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120	4+	C15:7D4:12C2^2	480,1176
C₁₅:₇D₄:₁₃C₂² = D₅xC₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120	4	C15:7D4:13C2^2	480,1090
C₁₅:₇D₄:₁₄C₂² = S₃xC₄oD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120	4	C15:7D4:14C2^2	480,1091
C₁₅:₇D₄:₁₅C₂² = D₂₀:₂₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120	4	C15:7D4:15C2^2	480,1093
C₁₅:₇D₄:₁₆C₂² = D₂₀:₂₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120	4	C15:7D4:16C2^2	480,1094
C₁₅:₇D₄:₁₇C₂² = C₂xDic₅.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	240		C15:7D4:17C2^2	480,1113
C₁₅:₇D₄:₁₈C₂² = C₂xDic₃.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	240		C15:7D4:18C2^2	480,1116
C₁₅:₇D₄:₁₉C₂² = C₂xD₅xC₃:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120		C15:7D4:19C2^2	480,1122
C₁₅:₇D₄:₂₀C₂² = C₂xS₃xC₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120		C15:7D4:20C2^2	480,1123
C₁₅:₇D₄:₂₁C₂² = C₁₅:2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	120	4	C15:7D4:21C2^2	480,1125
C₁₅:₇D₄:₂₂C₂² = C₂xD₆₀:₁₁C₂	φ: trivial image	240		C15:7D4:22C2^2	480,1168

Non-split extensions G=N.Q with N=C₁₅:₇D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅:₇D₄.C₂² = C₁₅:2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:₇D₄	240	8-	C15:7D4.C2^2	480,1096
C₁₅:₇D₄.₂C₂² = D₄.₁₀D₃₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	240	4-	C15:7D4.2C2^2	480,1177
C₁₅:₇D₄.₃C₂² = D₂₀.₃₈D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	240	4	C15:7D4.3C2^2	480,1076
C₁₅:₇D₄.₄C₂² = C₃₀.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:₇D₄	240	4	C15:7D4.4C2^2	480,1080
C₁₅:₇D₄.₅C₂² = Q₈.₁₅D₃₀	φ: trivial image	240	4	C15:7D4.5C2^2	480,1174

Extensions 1→N→G→Q→1 with N=C15:7D4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₅:₇D₄ and Q=C₂²