Extensions 1→N→G→Q→1 with N=D30 and Q=C22

Direct product G=NxQ with N=D30 and Q=C22
dρLabelID
C23xD15120C2^3xD15240,207

Semidirect products G=N:Q with N=D30 and Q=C22
extensionφ:Q→Out NdρLabelID
D30:1C22 = D5xD12φ: C22/C1C22 ⊆ Out D30604+D30:1C2^2240,136
D30:2C22 = S3xD20φ: C22/C1C22 ⊆ Out D30604+D30:2C2^2240,137
D30:3C22 = D5xC3:D4φ: C22/C1C22 ⊆ Out D30604D30:3C2^2240,149
D30:4C22 = S3xC5:D4φ: C22/C1C22 ⊆ Out D30604D30:4C2^2240,150
D30:5C22 = C2xD60φ: C22/C2C2 ⊆ Out D30120D30:5C2^2240,177
D30:6C22 = D4xD15φ: C22/C2C2 ⊆ Out D30604+D30:6C2^2240,179
D30:7C22 = C2xC15:7D4φ: C22/C2C2 ⊆ Out D30120D30:7C2^2240,184
D30:8C22 = C2xC3:D20φ: C22/C2C2 ⊆ Out D30120D30:8C2^2240,146
D30:9C22 = C2xC5:D12φ: C22/C2C2 ⊆ Out D30120D30:9C2^2240,147
D30:10C22 = D10:D6φ: C22/C2C2 ⊆ Out D30604+D30:10C2^2240,151
D30:11C22 = C22xS3xD5φ: C22/C2C2 ⊆ Out D3060D30:11C2^2240,202

Non-split extensions G=N.Q with N=D30 and Q=C22
extensionφ:Q→Out NdρLabelID
D30.1C22 = D60:C2φ: C22/C1C22 ⊆ Out D301204+D30.1C2^2240,130
D30.2C22 = C12.28D10φ: C22/C1C22 ⊆ Out D301204+D30.2C2^2240,134
D30.3C22 = Dic5.D6φ: C22/C1C22 ⊆ Out D301204D30.3C2^2240,140
D30.4C22 = Dic3.D10φ: C22/C1C22 ⊆ Out D301204D30.4C2^2240,143
D30.5C22 = D60:11C2φ: C22/C2C2 ⊆ Out D301202D30.5C2^2240,178
D30.6C22 = D4:2D15φ: C22/C2C2 ⊆ Out D301204-D30.6C2^2240,180
D30.7C22 = Q8:3D15φ: C22/C2C2 ⊆ Out D301204+D30.7C2^2240,182
D30.8C22 = D20:S3φ: C22/C2C2 ⊆ Out D301204D30.8C2^2240,127
D30.9C22 = D12:D5φ: C22/C2C2 ⊆ Out D301204D30.9C2^2240,129
D30.10C22 = D15:Q8φ: C22/C2C2 ⊆ Out D301204D30.10C2^2240,131
D30.11C22 = D6.D10φ: C22/C2C2 ⊆ Out D301204D30.11C2^2240,132
D30.12C22 = C4xS3xD5φ: C22/C2C2 ⊆ Out D30604D30.12C2^2240,135
D30.13C22 = C20:D6φ: C22/C2C2 ⊆ Out D30604D30.13C2^2240,138
D30.14C22 = C2xD30.C2φ: C22/C2C2 ⊆ Out D30120D30.14C2^2240,144
D30.15C22 = C2xC4xD15φ: trivial image120D30.15C2^2240,176
D30.16C22 = Q8xD15φ: trivial image1204-D30.16C2^2240,181

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