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

Direct product G=N×Q with N=C₁₅⋊₇D₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₅⋊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 = S₃×D₄×D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊₇D₄	60	8+	C15:7D4:1C2^2	480,1097
C₁₅⋊₇D₄⋊₂C₂² = D₅×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₁₅⋊₇D₄	120	8-	C15:7D4:2C2^2	480,1098
C₁₅⋊₇D₄⋊₃C₂² = S₃×D₄⋊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 = C₂×D₄×D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	120		C15:7D4:8C2^2	480,1169
C₁₅⋊₇D₄⋊₉C₂² = C₂×D₄⋊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 = C₄○D₄×D₁₅	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 = D₅×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	120	4	C15:7D4:13C2^2	480,1090
C₁₅⋊₇D₄⋊₁₄C₂² = S₃×C₄○D₂₀	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 = C₂×Dic₅.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	240		C15:7D4:17C2^2	480,1113
C₁₅⋊₇D₄⋊₁₈C₂² = C₂×Dic₃.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	240		C15:7D4:18C2^2	480,1116
C₁₅⋊₇D₄⋊₁₉C₂² = C₂×D₅×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₅⋊₇D₄	120		C15:7D4:19C2^2	480,1122
C₁₅⋊₇D₄⋊₂₀C₂² = C₂×S₃×C₅⋊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 = C₂×D₆₀⋊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

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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