Extensions 1→N→G→Q→1 with N=C120 and Q=C4

Direct product G=NxQ with N=C120 and Q=C4
dρLabelID
C4xC120480C4xC120480,199

Semidirect products G=N:Q with N=C120 and Q=C4
extensionφ:Q→Aut NdρLabelID
C120:1C4 = D5.D24φ: C4/C1C4 ⊆ Aut C1201204C120:1C4480,299
C120:2C4 = C120:C4φ: C4/C1C4 ⊆ Aut C1201204C120:2C4480,298
C120:3C4 = C3xD5.D8φ: C4/C1C4 ⊆ Aut C1201204C120:3C4480,274
C120:4C4 = C8xC3:F5φ: C4/C1C4 ⊆ Aut C1201204C120:4C4480,296
C120:5C4 = C24:F5φ: C4/C1C4 ⊆ Aut C1201204C120:5C4480,297
C120:6C4 = C3xC40:C4φ: C4/C1C4 ⊆ Aut C1201204C120:6C4480,273
C120:7C4 = F5xC24φ: C4/C1C4 ⊆ Aut C1201204C120:7C4480,271
C120:8C4 = C3xC8:F5φ: C4/C1C4 ⊆ Aut C1201204C120:8C4480,272
C120:9C4 = C120:9C4φ: C4/C2C2 ⊆ Aut C120480C120:9C4480,178
C120:10C4 = C120:10C4φ: C4/C2C2 ⊆ Aut C120480C120:10C4480,177
C120:11C4 = C3xC40:5C4φ: C4/C2C2 ⊆ Aut C120480C120:11C4480,96
C120:12C4 = C8xDic15φ: C4/C2C2 ⊆ Aut C120480C120:12C4480,173
C120:13C4 = C120:13C4φ: C4/C2C2 ⊆ Aut C120480C120:13C4480,175
C120:14C4 = C5xC24:1C4φ: C4/C2C2 ⊆ Aut C120480C120:14C4480,137
C120:15C4 = C3xC40:6C4φ: C4/C2C2 ⊆ Aut C120480C120:15C4480,95
C120:16C4 = C5xC8:Dic3φ: C4/C2C2 ⊆ Aut C120480C120:16C4480,136
C120:17C4 = Dic5xC24φ: C4/C2C2 ⊆ Aut C120480C120:17C4480,91
C120:18C4 = C3xC40:8C4φ: C4/C2C2 ⊆ Aut C120480C120:18C4480,93
C120:19C4 = C15xC2.D8φ: C4/C2C2 ⊆ Aut C120480C120:19C4480,210
C120:20C4 = Dic3xC40φ: C4/C2C2 ⊆ Aut C120480C120:20C4480,132
C120:21C4 = C5xC24:C4φ: C4/C2C2 ⊆ Aut C120480C120:21C4480,134
C120:22C4 = C15xC4.Q8φ: C4/C2C2 ⊆ Aut C120480C120:22C4480,209
C120:23C4 = C15xC8:C4φ: C4/C2C2 ⊆ Aut C120480C120:23C4480,200

Non-split extensions G=N.Q with N=C120 and Q=C4
extensionφ:Q→Aut NdρLabelID
C120.1C4 = C24.1F5φ: C4/C1C4 ⊆ Aut C1202404C120.1C4480,301
C120.2C4 = C40.Dic3φ: C4/C1C4 ⊆ Aut C1202404C120.2C4480,300
C120.3C4 = C3xD10.Q8φ: C4/C1C4 ⊆ Aut C1202404C120.3C4480,276
C120.4C4 = C15:C32φ: C4/C1C4 ⊆ Aut C1204804C120.4C4480,6
C120.5C4 = C24.F5φ: C4/C1C4 ⊆ Aut C1202404C120.5C4480,294
C120.6C4 = C120.C4φ: C4/C1C4 ⊆ Aut C1202404C120.6C4480,295
C120.7C4 = C3xC40.C4φ: C4/C1C4 ⊆ Aut C1202404C120.7C4480,275
C120.8C4 = C3xC5:C32φ: C4/C1C4 ⊆ Aut C1204804C120.8C4480,5
C120.9C4 = C3xD5:C16φ: C4/C1C4 ⊆ Aut C1202404C120.9C4480,269
C120.10C4 = C3xC8.F5φ: C4/C1C4 ⊆ Aut C1202404C120.10C4480,270
C120.11C4 = C4.18D60φ: C4/C2C2 ⊆ Aut C1202402C120.11C4480,179
C120.12C4 = C15:3C32φ: C4/C2C2 ⊆ Aut C1204802C120.12C4480,3
C120.13C4 = C2xC15:3C16φ: C4/C2C2 ⊆ Aut C120480C120.13C4480,171
C120.14C4 = C60.7C8φ: C4/C2C2 ⊆ Aut C1202402C120.14C4480,172
C120.15C4 = C5xC24.C4φ: C4/C2C2 ⊆ Aut C1202402C120.15C4480,138
C120.16C4 = C3xC40.6C4φ: C4/C2C2 ⊆ Aut C1202402C120.16C4480,97
C120.17C4 = C3xC5:2C32φ: C4/C2C2 ⊆ Aut C1204802C120.17C4480,2
C120.18C4 = C6xC5:2C16φ: C4/C2C2 ⊆ Aut C120480C120.18C4480,89
C120.19C4 = C3xC20.4C8φ: C4/C2C2 ⊆ Aut C1202402C120.19C4480,90
C120.20C4 = C5xC3:C32φ: C4/C2C2 ⊆ Aut C1204802C120.20C4480,1
C120.21C4 = C10xC3:C16φ: C4/C2C2 ⊆ Aut C120480C120.21C4480,130
C120.22C4 = C5xC12.C8φ: C4/C2C2 ⊆ Aut C1202402C120.22C4480,131
C120.23C4 = C15xC8.C4φ: C4/C2C2 ⊆ Aut C1202402C120.23C4480,211
C120.24C4 = C15xM5(2)φ: C4/C2C2 ⊆ Aut C1202402C120.24C4480,213

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