Extensions 1→N→G→Q→1 with N=D₃₀ and Q=C₂³

Direct product G=N×Q with N=D₃₀ and Q=C₂³

		d	ρ	Label	ID
C₂⁴×D₁₅		240		C2^4xD15	480,1212

Semidirect products G=N:Q with N=D₃₀ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀⋊₁C₂³ = C₂×D₅×D₁₂	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120		D30:1C2^3	480,1087
D₃₀⋊₂C₂³ = C₂×S₃×D₂₀	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120		D30:2C2^3	480,1088
D₃₀⋊₃C₂³ = S₃×D₄×D₅	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	60	8+	D30:3C2^3	480,1097
D₃₀⋊₄C₂³ = C₂×D₅×C₃⋊D₄	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120		D30:4C2^3	480,1122
D₃₀⋊₅C₂³ = C₂×S₃×C₅⋊D₄	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120		D30:5C2^3	480,1123
D₃₀⋊₆C₂³ = C₂²×D₆₀	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30:6C2^3	480,1167
D₃₀⋊₇C₂³ = C₂×D₄×D₁₅	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120		D30:7C2^3	480,1169
D₃₀⋊₈C₂³ = C₂²×C₁₅⋊₇D₄	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30:8C2^3	480,1179
D₃₀⋊₉C₂³ = C₂²×C₃⋊D₂₀	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30:9C2^3	480,1119
D₃₀⋊₁₀C₂³ = C₂²×C₅⋊D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30:10C2^3	480,1120
D₃₀⋊₁₁C₂³ = C₂×D₁₀⋊D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120		D30:11C2^3	480,1124
D₃₀⋊₁₂C₂³ = S₃×C₂³×D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120		D30:12C2^3	480,1207

Non-split extensions G=N.Q with N=D₃₀ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀.₁C₂³ = D₂₀.₃₈D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	240	4	D30.1C2^3	480,1076
D₃₀.₂C₂³ = C₃₀.C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	240	4	D30.2C2^3	480,1080
D₃₀.₃C₂³ = C₂×D₆₀⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	240		D30.3C2^3	480,1081
D₃₀.₄C₂³ = C₂×C₁₂.₂₈D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	240		D30.4C2^3	480,1085
D₃₀.₅C₂³ = D₅×C₄○D₁₂	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	4	D30.5C2^3	480,1090
D₃₀.₆C₂³ = S₃×C₄○D₂₀	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	4	D30.6C2^3	480,1091
D₃₀.₇C₂³ = D₂₀⋊₂₅D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	4	D30.7C2^3	480,1093
D₃₀.₈C₂³ = D₂₀⋊₂₆D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	4	D30.8C2^3	480,1094
D₃₀.₉C₂³ = D₂₀⋊₂₉D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	4+	D30.9C2^3	480,1095
D₃₀.₁₀C₂³ = C₁₅⋊2_-¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	240	8-	D30.10C2^3	480,1096
D₃₀.₁₁C₂³ = D₅×D₄⋊₂S₃	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	8-	D30.11C2^3	480,1098
D₃₀.₁₂C₂³ = S₃×D₄⋊₂D₅	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	8-	D30.12C2^3	480,1099
D₃₀.₁₃C₂³ = D₃₀.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	8+	D30.13C2^3	480,1100
D₃₀.₁₄C₂³ = D₂₀⋊₁₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	8-	D30.14C2^3	480,1101
D₃₀.₁₅C₂³ = D₂₀⋊₁₄D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	8+	D30.15C2^3	480,1102
D₃₀.₁₆C₂³ = D₁₂⋊₁₄D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	8+	D30.16C2^3	480,1103
D₃₀.₁₇C₂³ = C₃₀.₃₃C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	240	8+	D30.17C2^3	480,1105
D₃₀.₁₈C₂³ = D₅×Q₈⋊₃S₃	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	8+	D30.18C2^3	480,1108
D₃₀.₁₉C₂³ = S₃×Q₈⋊₂D₅	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	8+	D30.19C2^3	480,1109
D₃₀.₂₀C₂³ = D₂₀⋊₁₇D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	8+	D30.20C2^3	480,1111
D₃₀.₂₁C₂³ = C₂×Dic₅.D₆	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	240		D30.21C2^3	480,1113
D₃₀.₂₂C₂³ = C₂×Dic₃.D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	240		D30.22C2^3	480,1116
D₃₀.₂₃C₂³ = C₁₅⋊2₊¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out D₃₀	120	4	D30.23C2^3	480,1125
D₃₀.₂₄C₂³ = C₂×D₆₀⋊₁₁C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30.24C2^3	480,1168
D₃₀.₂₅C₂³ = C₂×D₄⋊₂D₁₅	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30.25C2^3	480,1170
D₃₀.₂₆C₂³ = D₄⋊₆D₃₀	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120	4	D30.26C2^3	480,1171
D₃₀.₂₇C₂³ = C₂×Q₈⋊₃D₁₅	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30.27C2^3	480,1173
D₃₀.₂₈C₂³ = Q₈.₁₅D₃₀	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240	4	D30.28C2^3	480,1174
D₃₀.₂₉C₂³ = C₄○D₄×D₁₅	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120	4	D30.29C2^3	480,1175
D₃₀.₃₀C₂³ = D₄⋊₈D₃₀	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120	4+	D30.30C2^3	480,1176
D₃₀.₃₁C₂³ = D₄.₁₀D₃₀	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240	4-	D30.31C2^3	480,1177
D₃₀.₃₂C₂³ = C₂×D₂₀⋊S₃	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30.32C2^3	480,1075
D₃₀.₃₃C₂³ = C₂×D₁₂⋊D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30.33C2^3	480,1079
D₃₀.₃₄C₂³ = C₂×D₁₅⋊Q₈	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30.34C2^3	480,1082
D₃₀.₃₅C₂³ = C₂×D₆.D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30.35C2^3	480,1083
D₃₀.₃₆C₂³ = S₃×C₂×C₄×D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120		D30.36C2^3	480,1086
D₃₀.₃₇C₂³ = C₂×C₂₀⋊D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120		D30.37C2^3	480,1089
D₃₀.₃₈C₂³ = D₂₀⋊₂₄D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120	4	D30.38C2^3	480,1092
D₃₀.₃₉C₂³ = D₂₀.₂₉D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240	8-	D30.39C2^3	480,1104
D₃₀.₄₀C₂³ = D₁₂.₂₉D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240	8-	D30.40C2^3	480,1106
D₃₀.₄₁C₂³ = S₃×Q₈×D₅	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120	8-	D30.41C2^3	480,1107
D₃₀.₄₂C₂³ = D₂₀⋊₁₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	120	8-	D30.42C2^3	480,1110
D₃₀.₄₃C₂³ = C₂²×D₃₀.C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₃₀	240		D30.43C2^3	480,1117
D₃₀.₄₄C₂³ = C₂²×C₄×D₁₅	φ: trivial image	240		D30.44C2^3	480,1166
D₃₀.₄₅C₂³ = C₂×Q₈×D₁₅	φ: trivial image	240		D30.45C2^3	480,1172

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Extensions 1→N→G→Q→1 with N=D30 and Q=C23

Extensions 1→N→G→Q→1 with N=D₃₀ and Q=C₂³