Extensions 1→N→G→Q→1 with N=C30 and Q=D4

Direct product G=NxQ with N=C30 and Q=D4
dρLabelID
D4xC30120D4xC30240,186

Semidirect products G=N:Q with N=C30 and Q=D4
extensionφ:Q→Aut NdρLabelID
C30:1D4 = C2xC15:D4φ: D4/C2C22 ⊆ Aut C30120C30:1D4240,145
C30:2D4 = C2xC3:D20φ: D4/C2C22 ⊆ Aut C30120C30:2D4240,146
C30:3D4 = C2xC5:D12φ: D4/C2C22 ⊆ Aut C30120C30:3D4240,147
C30:4D4 = C2xD60φ: D4/C4C2 ⊆ Aut C30120C30:4D4240,177
C30:5D4 = C6xD20φ: D4/C4C2 ⊆ Aut C30120C30:5D4240,157
C30:6D4 = C10xD12φ: D4/C4C2 ⊆ Aut C30120C30:6D4240,167
C30:7D4 = C2xC15:7D4φ: D4/C22C2 ⊆ Aut C30120C30:7D4240,184
C30:8D4 = C6xC5:D4φ: D4/C22C2 ⊆ Aut C30120C30:8D4240,164
C30:9D4 = C10xC3:D4φ: D4/C22C2 ⊆ Aut C30120C30:9D4240,174

Non-split extensions G=N.Q with N=C30 and Q=D4
extensionφ:Q→Aut NdρLabelID
C30.1D4 = C15:D8φ: D4/C2C22 ⊆ Aut C301204C30.1D4240,13
C30.2D4 = C3:D40φ: D4/C2C22 ⊆ Aut C301204+C30.2D4240,14
C30.3D4 = C5:D24φ: D4/C2C22 ⊆ Aut C301204+C30.3D4240,15
C30.4D4 = C30.D4φ: D4/C2C22 ⊆ Aut C301204C30.4D4240,16
C30.5D4 = C20.D6φ: D4/C2C22 ⊆ Aut C301204C30.5D4240,17
C30.6D4 = C6.D20φ: D4/C2C22 ⊆ Aut C301204-C30.6D4240,18
C30.7D4 = C15:SD16φ: D4/C2C22 ⊆ Aut C301204+C30.7D4240,19
C30.8D4 = D12.D5φ: D4/C2C22 ⊆ Aut C301204-C30.8D4240,20
C30.9D4 = Dic6:D5φ: D4/C2C22 ⊆ Aut C301204+C30.9D4240,21
C30.10D4 = C15:Q16φ: D4/C2C22 ⊆ Aut C302404C30.10D4240,22
C30.11D4 = C3:Dic20φ: D4/C2C22 ⊆ Aut C302404-C30.11D4240,23
C30.12D4 = C5:Dic12φ: D4/C2C22 ⊆ Aut C302404-C30.12D4240,24
C30.13D4 = D10:Dic3φ: D4/C2C22 ⊆ Aut C30120C30.13D4240,26
C30.14D4 = D6:Dic5φ: D4/C2C22 ⊆ Aut C30120C30.14D4240,27
C30.15D4 = D30:4C4φ: D4/C2C22 ⊆ Aut C30120C30.15D4240,28
C30.16D4 = C30.Q8φ: D4/C2C22 ⊆ Aut C30240C30.16D4240,29
C30.17D4 = Dic15:5C4φ: D4/C2C22 ⊆ Aut C30240C30.17D4240,30
C30.18D4 = C6.Dic10φ: D4/C2C22 ⊆ Aut C30240C30.18D4240,31
C30.19D4 = C24:D5φ: D4/C4C2 ⊆ Aut C301202C30.19D4240,67
C30.20D4 = D120φ: D4/C4C2 ⊆ Aut C301202+C30.20D4240,68
C30.21D4 = Dic60φ: D4/C4C2 ⊆ Aut C302402-C30.21D4240,69
C30.22D4 = C60:5C4φ: D4/C4C2 ⊆ Aut C30240C30.22D4240,74
C30.23D4 = C3xC40:C2φ: D4/C4C2 ⊆ Aut C301202C30.23D4240,35
C30.24D4 = C3xD40φ: D4/C4C2 ⊆ Aut C301202C30.24D4240,36
C30.25D4 = C3xDic20φ: D4/C4C2 ⊆ Aut C302402C30.25D4240,37
C30.26D4 = C3xC4:Dic5φ: D4/C4C2 ⊆ Aut C30240C30.26D4240,42
C30.27D4 = C3xD10:C4φ: D4/C4C2 ⊆ Aut C30120C30.27D4240,43
C30.28D4 = C5xC24:C2φ: D4/C4C2 ⊆ Aut C301202C30.28D4240,51
C30.29D4 = C5xD24φ: D4/C4C2 ⊆ Aut C301202C30.29D4240,52
C30.30D4 = C5xDic12φ: D4/C4C2 ⊆ Aut C302402C30.30D4240,53
C30.31D4 = C5xC4:Dic3φ: D4/C4C2 ⊆ Aut C30240C30.31D4240,58
C30.32D4 = C30.4Q8φ: D4/C22C2 ⊆ Aut C30240C30.32D4240,73
C30.33D4 = D30:3C4φ: D4/C22C2 ⊆ Aut C30120C30.33D4240,75
C30.34D4 = D4:D15φ: D4/C22C2 ⊆ Aut C301204+C30.34D4240,76
C30.35D4 = D4.D15φ: D4/C22C2 ⊆ Aut C301204-C30.35D4240,77
C30.36D4 = Q8:2D15φ: D4/C22C2 ⊆ Aut C301204+C30.36D4240,78
C30.37D4 = C15:7Q16φ: D4/C22C2 ⊆ Aut C302404-C30.37D4240,79
C30.38D4 = C30.38D4φ: D4/C22C2 ⊆ Aut C30120C30.38D4240,80
C30.39D4 = C3xC10.D4φ: D4/C22C2 ⊆ Aut C30240C30.39D4240,41
C30.40D4 = C3xD4:D5φ: D4/C22C2 ⊆ Aut C301204C30.40D4240,44
C30.41D4 = C3xD4.D5φ: D4/C22C2 ⊆ Aut C301204C30.41D4240,45
C30.42D4 = C3xQ8:D5φ: D4/C22C2 ⊆ Aut C301204C30.42D4240,46
C30.43D4 = C3xC5:Q16φ: D4/C22C2 ⊆ Aut C302404C30.43D4240,47
C30.44D4 = C3xC23.D5φ: D4/C22C2 ⊆ Aut C30120C30.44D4240,48
C30.45D4 = C5xDic3:C4φ: D4/C22C2 ⊆ Aut C30240C30.45D4240,57
C30.46D4 = C5xD6:C4φ: D4/C22C2 ⊆ Aut C30120C30.46D4240,59
C30.47D4 = C5xD4:S3φ: D4/C22C2 ⊆ Aut C301204C30.47D4240,60
C30.48D4 = C5xD4.S3φ: D4/C22C2 ⊆ Aut C301204C30.48D4240,61
C30.49D4 = C5xQ8:2S3φ: D4/C22C2 ⊆ Aut C301204C30.49D4240,62
C30.50D4 = C5xC3:Q16φ: D4/C22C2 ⊆ Aut C302404C30.50D4240,63
C30.51D4 = C5xC6.D4φ: D4/C22C2 ⊆ Aut C30120C30.51D4240,64
C30.52D4 = C15xC22:C4central extension (φ=1)120C30.52D4240,82
C30.53D4 = C15xC4:C4central extension (φ=1)240C30.53D4240,83
C30.54D4 = C15xD8central extension (φ=1)1202C30.54D4240,86
C30.55D4 = C15xSD16central extension (φ=1)1202C30.55D4240,87
C30.56D4 = C15xQ16central extension (φ=1)2402C30.56D4240,88

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