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Extensions 1→N→G→Q→1 with N=C3xC30 and Q=C22

Direct product G=NxQ with N=C3xC30 and Q=C22
dρLabelID
C2xC6xC30360C2xC6xC30360,162

Semidirect products G=N:Q with N=C3xC30 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C3xC30):1C22 = S3xC6xD5φ: C22/C1 → C22 ⊆ Aut C3xC30604(C3xC30):1C2^2360,151
(C3xC30):2C22 = C2xD5xC3:S3φ: C22/C1 → C22 ⊆ Aut C3xC3090(C3xC30):2C2^2360,152
(C3xC30):3C22 = C2xS3xD15φ: C22/C1 → C22 ⊆ Aut C3xC30604+(C3xC30):3C2^2360,154
(C3xC30):4C22 = C2xD15:S3φ: C22/C1 → C22 ⊆ Aut C3xC30604(C3xC30):4C2^2360,155
(C3xC30):5C22 = S32xC10φ: C22/C1 → C22 ⊆ Aut C3xC30604(C3xC30):5C2^2360,153
(C3xC30):6C22 = C22xC3:D15φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30):6C2^2360,161
(C3xC30):7C22 = C2xC6xD15φ: C22/C2 → C2 ⊆ Aut C3xC30120(C3xC30):7C2^2360,159
(C3xC30):8C22 = D5xC62φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30):8C2^2360,157
(C3xC30):9C22 = S3xC2xC30φ: C22/C2 → C2 ⊆ Aut C3xC30120(C3xC30):9C2^2360,158
(C3xC30):10C22 = C3:S3xC2xC10φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30):10C2^2360,160

Non-split extensions G=N.Q with N=C3xC30 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C3xC30).1C22 = C3xD5xDic3φ: C22/C1 → C22 ⊆ Aut C3xC30604(C3xC30).1C2^2360,58
(C3xC30).2C22 = C3xS3xDic5φ: C22/C1 → C22 ⊆ Aut C3xC301204(C3xC30).2C2^2360,59
(C3xC30).3C22 = C3xD30.C2φ: C22/C1 → C22 ⊆ Aut C3xC301204(C3xC30).3C2^2360,60
(C3xC30).4C22 = C3xC15:D4φ: C22/C1 → C22 ⊆ Aut C3xC30604(C3xC30).4C2^2360,61
(C3xC30).5C22 = C3xC3:D20φ: C22/C1 → C22 ⊆ Aut C3xC30604(C3xC30).5C2^2360,62
(C3xC30).6C22 = C3xC5:D12φ: C22/C1 → C22 ⊆ Aut C3xC301204(C3xC30).6C2^2360,63
(C3xC30).7C22 = C3xC15:Q8φ: C22/C1 → C22 ⊆ Aut C3xC301204(C3xC30).7C2^2360,64
(C3xC30).8C22 = D5xC3:Dic3φ: C22/C1 → C22 ⊆ Aut C3xC30180(C3xC30).8C2^2360,65
(C3xC30).9C22 = C3:S3xDic5φ: C22/C1 → C22 ⊆ Aut C3xC30180(C3xC30).9C2^2360,66
(C3xC30).10C22 = C30.D6φ: C22/C1 → C22 ⊆ Aut C3xC30180(C3xC30).10C2^2360,67
(C3xC30).11C22 = C30.12D6φ: C22/C1 → C22 ⊆ Aut C3xC30180(C3xC30).11C2^2360,68
(C3xC30).12C22 = C32:7D20φ: C22/C1 → C22 ⊆ Aut C3xC30180(C3xC30).12C2^2360,69
(C3xC30).13C22 = C15:D12φ: C22/C1 → C22 ⊆ Aut C3xC30180(C3xC30).13C2^2360,70
(C3xC30).14C22 = C15:Dic6φ: C22/C1 → C22 ⊆ Aut C3xC30360(C3xC30).14C2^2360,71
(C3xC30).15C22 = Dic3xD15φ: C22/C1 → C22 ⊆ Aut C3xC301204-(C3xC30).15C2^2360,77
(C3xC30).16C22 = S3xDic15φ: C22/C1 → C22 ⊆ Aut C3xC301204-(C3xC30).16C2^2360,78
(C3xC30).17C22 = C6.D30φ: C22/C1 → C22 ⊆ Aut C3xC30604+(C3xC30).17C2^2360,79
(C3xC30).18C22 = D6:D15φ: C22/C1 → C22 ⊆ Aut C3xC301204-(C3xC30).18C2^2360,80
(C3xC30).19C22 = C3:D60φ: C22/C1 → C22 ⊆ Aut C3xC30604+(C3xC30).19C2^2360,81
(C3xC30).20C22 = D6:2D15φ: C22/C1 → C22 ⊆ Aut C3xC30604+(C3xC30).20C2^2360,82
(C3xC30).21C22 = C3:Dic30φ: C22/C1 → C22 ⊆ Aut C3xC301204-(C3xC30).21C2^2360,83
(C3xC30).22C22 = D30.S3φ: C22/C1 → C22 ⊆ Aut C3xC301204(C3xC30).22C2^2360,84
(C3xC30).23C22 = Dic15:S3φ: C22/C1 → C22 ⊆ Aut C3xC30604(C3xC30).23C2^2360,85
(C3xC30).24C22 = D30:S3φ: C22/C1 → C22 ⊆ Aut C3xC30604(C3xC30).24C2^2360,86
(C3xC30).25C22 = C32:3D20φ: C22/C1 → C22 ⊆ Aut C3xC301204(C3xC30).25C2^2360,87
(C3xC30).26C22 = C32:3Dic10φ: C22/C1 → C22 ⊆ Aut C3xC301204(C3xC30).26C2^2360,88
(C3xC30).27C22 = C5xS3xDic3φ: C22/C1 → C22 ⊆ Aut C3xC301204(C3xC30).27C2^2360,72
(C3xC30).28C22 = C5xC6.D6φ: C22/C1 → C22 ⊆ Aut C3xC30604(C3xC30).28C2^2360,73
(C3xC30).29C22 = C5xD6:S3φ: C22/C1 → C22 ⊆ Aut C3xC301204(C3xC30).29C2^2360,74
(C3xC30).30C22 = C5xC3:D12φ: C22/C1 → C22 ⊆ Aut C3xC30604(C3xC30).30C2^2360,75
(C3xC30).31C22 = C5xC32:2Q8φ: C22/C1 → C22 ⊆ Aut C3xC301204(C3xC30).31C2^2360,76
(C3xC30).32C22 = C12.D15φ: C22/C2 → C2 ⊆ Aut C3xC30360(C3xC30).32C2^2360,110
(C3xC30).33C22 = C4xC3:D15φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30).33C2^2360,111
(C3xC30).34C22 = C60:S3φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30).34C2^2360,112
(C3xC30).35C22 = C2xC3:Dic15φ: C22/C2 → C2 ⊆ Aut C3xC30360(C3xC30).35C2^2360,113
(C3xC30).36C22 = C62:D5φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30).36C2^2360,114
(C3xC30).37C22 = C3xDic30φ: C22/C2 → C2 ⊆ Aut C3xC301202(C3xC30).37C2^2360,100
(C3xC30).38C22 = C12xD15φ: C22/C2 → C2 ⊆ Aut C3xC301202(C3xC30).38C2^2360,101
(C3xC30).39C22 = C3xD60φ: C22/C2 → C2 ⊆ Aut C3xC301202(C3xC30).39C2^2360,102
(C3xC30).40C22 = C6xDic15φ: C22/C2 → C2 ⊆ Aut C3xC30120(C3xC30).40C2^2360,103
(C3xC30).41C22 = C3xC15:7D4φ: C22/C2 → C2 ⊆ Aut C3xC30602(C3xC30).41C2^2360,104
(C3xC30).42C22 = C32xDic10φ: C22/C2 → C2 ⊆ Aut C3xC30360(C3xC30).42C2^2360,90
(C3xC30).43C22 = D5xC3xC12φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30).43C2^2360,91
(C3xC30).44C22 = C32xD20φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30).44C2^2360,92
(C3xC30).45C22 = C3xC6xDic5φ: C22/C2 → C2 ⊆ Aut C3xC30360(C3xC30).45C2^2360,93
(C3xC30).46C22 = C32xC5:D4φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30).46C2^2360,94
(C3xC30).47C22 = C15xDic6φ: C22/C2 → C2 ⊆ Aut C3xC301202(C3xC30).47C2^2360,95
(C3xC30).48C22 = S3xC60φ: C22/C2 → C2 ⊆ Aut C3xC301202(C3xC30).48C2^2360,96
(C3xC30).49C22 = C15xD12φ: C22/C2 → C2 ⊆ Aut C3xC301202(C3xC30).49C2^2360,97
(C3xC30).50C22 = Dic3xC30φ: C22/C2 → C2 ⊆ Aut C3xC30120(C3xC30).50C2^2360,98
(C3xC30).51C22 = C15xC3:D4φ: C22/C2 → C2 ⊆ Aut C3xC30602(C3xC30).51C2^2360,99
(C3xC30).52C22 = C5xC32:4Q8φ: C22/C2 → C2 ⊆ Aut C3xC30360(C3xC30).52C2^2360,105
(C3xC30).53C22 = C3:S3xC20φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30).53C2^2360,106
(C3xC30).54C22 = C5xC12:S3φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30).54C2^2360,107
(C3xC30).55C22 = C10xC3:Dic3φ: C22/C2 → C2 ⊆ Aut C3xC30360(C3xC30).55C2^2360,108
(C3xC30).56C22 = C5xC32:7D4φ: C22/C2 → C2 ⊆ Aut C3xC30180(C3xC30).56C2^2360,109
(C3xC30).57C22 = D4xC3xC15central extension (φ=1)180(C3xC30).57C2^2360,116
(C3xC30).58C22 = Q8xC3xC15central extension (φ=1)360(C3xC30).58C2^2360,117

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