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Extensions 1→N→G→Q→1 with N=C30 and Q=D8

Direct product G=NxQ with N=C30 and Q=D8
dρLabelID
D8xC30240D8xC30480,937

Semidirect products G=N:Q with N=C30 and Q=D8
extensionφ:Q→Aut NdρLabelID
C30:1D8 = C2xC15:D8φ: D8/C4 → C22 ⊆ Aut C30240C30:1D8480,372
C30:2D8 = C2xC3:D40φ: D8/C4 → C22 ⊆ Aut C30240C30:2D8480,376
C30:3D8 = C2xC5:D24φ: D8/C4 → C22 ⊆ Aut C30240C30:3D8480,378
C30:4D8 = C2xD120φ: D8/C8 → C2 ⊆ Aut C30240C30:4D8480,868
C30:5D8 = C6xD40φ: D8/C8 → C2 ⊆ Aut C30240C30:5D8480,696
C30:6D8 = C10xD24φ: D8/C8 → C2 ⊆ Aut C30240C30:6D8480,782
C30:7D8 = C2xD4:D15φ: D8/D4 → C2 ⊆ Aut C30240C30:7D8480,896
C30:8D8 = C6xD4:D5φ: D8/D4 → C2 ⊆ Aut C30240C30:8D8480,724
C30:9D8 = C10xD4:S3φ: D8/D4 → C2 ⊆ Aut C30240C30:9D8480,810

Non-split extensions G=N.Q with N=C30 and Q=D8
extensionφ:Q→Aut NdρLabelID
C30.1D8 = C15:D16φ: D8/C4 → C22 ⊆ Aut C302404C30.1D8480,13
C30.2D8 = C3:D80φ: D8/C4 → C22 ⊆ Aut C302404+C30.2D8480,14
C30.3D8 = C5:D48φ: D8/C4 → C22 ⊆ Aut C302404+C30.3D8480,15
C30.4D8 = C40.D6φ: D8/C4 → C22 ⊆ Aut C302404C30.4D8480,16
C30.5D8 = C15:SD32φ: D8/C4 → C22 ⊆ Aut C302404C30.5D8480,17
C30.6D8 = D40.S3φ: D8/C4 → C22 ⊆ Aut C302404-C30.6D8480,18
C30.7D8 = C24.D10φ: D8/C4 → C22 ⊆ Aut C302404+C30.7D8480,19
C30.8D8 = D24.D5φ: D8/C4 → C22 ⊆ Aut C302404-C30.8D8480,20
C30.9D8 = Dic12:D5φ: D8/C4 → C22 ⊆ Aut C302404+C30.9D8480,21
C30.10D8 = C15:Q32φ: D8/C4 → C22 ⊆ Aut C304804C30.10D8480,22
C30.11D8 = C3:Dic40φ: D8/C4 → C22 ⊆ Aut C304804-C30.11D8480,23
C30.12D8 = C5:Dic24φ: D8/C4 → C22 ⊆ Aut C304804-C30.12D8480,24
C30.13D8 = C30.D8φ: D8/C4 → C22 ⊆ Aut C30240C30.13D8480,40
C30.14D8 = C6.D40φ: D8/C4 → C22 ⊆ Aut C30240C30.14D8480,41
C30.15D8 = D12:Dic5φ: D8/C4 → C22 ⊆ Aut C30240C30.15D8480,42
C30.16D8 = C10.D24φ: D8/C4 → C22 ⊆ Aut C30240C30.16D8480,43
C30.17D8 = D60:12C4φ: D8/C4 → C22 ⊆ Aut C30240C30.17D8480,44
C30.18D8 = D60:15C4φ: D8/C4 → C22 ⊆ Aut C30240C30.18D8480,45
C30.19D8 = C60.8Q8φ: D8/C4 → C22 ⊆ Aut C30480C30.19D8480,64
C30.20D8 = C30.20D8φ: D8/C4 → C22 ⊆ Aut C30480C30.20D8480,65
C30.21D8 = C60.5Q8φ: D8/C4 → C22 ⊆ Aut C30480C30.21D8480,66
C30.22D8 = D240φ: D8/C8 → C2 ⊆ Aut C302402+C30.22D8480,159
C30.23D8 = C48:D5φ: D8/C8 → C2 ⊆ Aut C302402C30.23D8480,160
C30.24D8 = Dic120φ: D8/C8 → C2 ⊆ Aut C304802-C30.24D8480,161
C30.25D8 = C120:9C4φ: D8/C8 → C2 ⊆ Aut C30480C30.25D8480,178
C30.26D8 = D60:8C4φ: D8/C8 → C2 ⊆ Aut C30240C30.26D8480,181
C30.27D8 = C3xD80φ: D8/C8 → C2 ⊆ Aut C302402C30.27D8480,77
C30.28D8 = C3xC16:D5φ: D8/C8 → C2 ⊆ Aut C302402C30.28D8480,78
C30.29D8 = C3xDic40φ: D8/C8 → C2 ⊆ Aut C304802C30.29D8480,79
C30.30D8 = C3xC40:5C4φ: D8/C8 → C2 ⊆ Aut C30480C30.30D8480,96
C30.31D8 = C3xD20:5C4φ: D8/C8 → C2 ⊆ Aut C30240C30.31D8480,99
C30.32D8 = C5xD48φ: D8/C8 → C2 ⊆ Aut C302402C30.32D8480,118
C30.33D8 = C5xC48:C2φ: D8/C8 → C2 ⊆ Aut C302402C30.33D8480,119
C30.34D8 = C5xDic24φ: D8/C8 → C2 ⊆ Aut C304802C30.34D8480,120
C30.35D8 = C5xC24:1C4φ: D8/C8 → C2 ⊆ Aut C30480C30.35D8480,137
C30.36D8 = C5xC2.D24φ: D8/C8 → C2 ⊆ Aut C30240C30.36D8480,140
C30.37D8 = C60.1Q8φ: D8/D4 → C2 ⊆ Aut C30480C30.37D8480,167
C30.38D8 = D60:9C4φ: D8/D4 → C2 ⊆ Aut C30240C30.38D8480,169
C30.39D8 = C15:7D16φ: D8/D4 → C2 ⊆ Aut C302404+C30.39D8480,186
C30.40D8 = D8.D15φ: D8/D4 → C2 ⊆ Aut C302404-C30.40D8480,187
C30.41D8 = C8.6D30φ: D8/D4 → C2 ⊆ Aut C302404+C30.41D8480,188
C30.42D8 = C15:7Q32φ: D8/D4 → C2 ⊆ Aut C304804-C30.42D8480,189
C30.43D8 = D4:Dic15φ: D8/D4 → C2 ⊆ Aut C30240C30.43D8480,192
C30.44D8 = C3xC10.D8φ: D8/D4 → C2 ⊆ Aut C30480C30.44D8480,85
C30.45D8 = C3xD20:6C4φ: D8/D4 → C2 ⊆ Aut C30240C30.45D8480,87
C30.46D8 = C3xC5:D16φ: D8/D4 → C2 ⊆ Aut C302404C30.46D8480,104
C30.47D8 = C3xD8.D5φ: D8/D4 → C2 ⊆ Aut C302404C30.47D8480,105
C30.48D8 = C3xC5:SD32φ: D8/D4 → C2 ⊆ Aut C302404C30.48D8480,106
C30.49D8 = C3xC5:Q32φ: D8/D4 → C2 ⊆ Aut C304804C30.49D8480,107
C30.50D8 = C3xD4:Dic5φ: D8/D4 → C2 ⊆ Aut C30240C30.50D8480,110
C30.51D8 = C5xC6.Q16φ: D8/D4 → C2 ⊆ Aut C30480C30.51D8480,126
C30.52D8 = C5xC6.D8φ: D8/D4 → C2 ⊆ Aut C30240C30.52D8480,128
C30.53D8 = C5xC3:D16φ: D8/D4 → C2 ⊆ Aut C302404C30.53D8480,145
C30.54D8 = C5xD8.S3φ: D8/D4 → C2 ⊆ Aut C302404C30.54D8480,146
C30.55D8 = C5xC8.6D6φ: D8/D4 → C2 ⊆ Aut C302404C30.55D8480,147
C30.56D8 = C5xC3:Q32φ: D8/D4 → C2 ⊆ Aut C304804C30.56D8480,148
C30.57D8 = C5xD4:Dic3φ: D8/D4 → C2 ⊆ Aut C30240C30.57D8480,151
C30.58D8 = C15xD4:C4central extension (φ=1)240C30.58D8480,205
C30.59D8 = C15xC2.D8central extension (φ=1)480C30.59D8480,210
C30.60D8 = C15xD16central extension (φ=1)2402C30.60D8480,214
C30.61D8 = C15xSD32central extension (φ=1)2402C30.61D8480,215
C30.62D8 = C15xQ32central extension (φ=1)4802C30.62D8480,216

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