Extensions 1→N→G→Q→1 with N=C₁₅:Q₈ and Q=C₂²

Direct product G=NxQ with N=C₁₅:Q₈ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₁₅:Q₈		480		C2^2xC15:Q8	480,1121

Semidirect products G=N:Q with N=C₁₅:Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅:Q₈:₁C₂² = D₅xD₄:₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:Q₈	120	8-	C15:Q8:1C2^2	480,1098
C₁₅:Q₈:₂C₂² = S₃xD₄:₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:Q₈	120	8-	C15:Q8:2C2^2	480,1099
C₁₅:Q₈:₃C₂² = D₃₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:Q₈	120	8+	C15:Q8:3C2^2	480,1100
C₁₅:Q₈:₄C₂² = S₃xQ₈xD₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:Q₈	120	8-	C15:Q8:4C2^2	480,1107
C₁₅:Q₈:₅C₂² = C₁₅:2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:Q₈	120	4	C15:Q8:5C2^2	480,1125
C₁₅:Q₈:₆C₂² = C₂xD₅xDic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	240		C15:Q8:6C2^2	480,1073
C₁₅:Q₈:₇C₂² = C₂xS₃xDic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	240		C15:Q8:7C2^2	480,1078
C₁₅:Q₈:₈C₂² = C₂xD₁₅:Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	240		C15:Q8:8C2^2	480,1082
C₁₅:Q₈:₉C₂² = D₅xC₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	120	4	C15:Q8:9C2^2	480,1090
C₁₅:Q₈:₁₀C₂² = S₃xC₄oD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	120	4	C15:Q8:10C2^2	480,1091
C₁₅:Q₈:₁₁C₂² = D₂₀:₂₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	120	4	C15:Q8:11C2^2	480,1092
C₁₅:Q₈:₁₂C₂² = D₂₀:₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	120	8-	C15:Q8:12C2^2	480,1101
C₁₅:Q₈:₁₃C₂² = D₂₀:₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	120	8+	C15:Q8:13C2^2	480,1102
C₁₅:Q₈:₁₄C₂² = D₁₂:₁₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	120	8+	C15:Q8:14C2^2	480,1103
C₁₅:Q₈:₁₅C₂² = C₂xDic₅.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	240		C15:Q8:15C2^2	480,1113
C₁₅:Q₈:₁₆C₂² = C₂xC₃₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	240		C15:Q8:16C2^2	480,1114
C₁₅:Q₈:₁₇C₂² = C₂xDic₃.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	240		C15:Q8:17C2^2	480,1116
C₁₅:Q₈:₁₈C₂² = C₂xD₆.D₁₀	φ: trivial image	240		C15:Q8:18C2^2	480,1083
C₁₅:Q₈:₁₉C₂² = D₂₀:₁₇D₆	φ: trivial image	120	8+	C15:Q8:19C2^2	480,1111

Non-split extensions G=N.Q with N=C₁₅:Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅:Q₈.₁C₂² = D₂₀.₃₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:Q₈	240	4	C15:Q8.1C2^2	480,1076
C₁₅:Q₈.₂C₂² = D₂₀.₃₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:Q₈	240	4-	C15:Q8.2C2^2	480,1077
C₁₅:Q₈.₃C₂² = C₃₀.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅:Q₈	240	4	C15:Q8.3C2^2	480,1080
C₁₅:Q₈.₄C₂² = C₁₅:2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	240	8-	C15:Q8.4C2^2	480,1096
C₁₅:Q₈.₅C₂² = D₂₀.₂₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	240	8-	C15:Q8.5C2^2	480,1104
C₁₅:Q₈.₆C₂² = C₃₀.₃₃C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	240	8+	C15:Q8.6C2^2	480,1105
C₁₅:Q₈.₇C₂² = D₁₂.₂₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅:Q₈	240	8-	C15:Q8.7C2^2	480,1106

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