Direct product G=NxQ with N=C120 and Q=C4
Semidirect products G=N:Q with N=C120 and Q=C4
extension | φ:Q→Aut N | d | ρ | Label | ID |
C120:1C4 = D5.D24 | φ: C4/C1 → C4 ⊆ Aut C120 | 120 | 4 | C120:1C4 | 480,299 |
C120:2C4 = C120:C4 | φ: C4/C1 → C4 ⊆ Aut C120 | 120 | 4 | C120:2C4 | 480,298 |
C120:3C4 = C3xD5.D8 | φ: C4/C1 → C4 ⊆ Aut C120 | 120 | 4 | C120:3C4 | 480,274 |
C120:4C4 = C8xC3:F5 | φ: C4/C1 → C4 ⊆ Aut C120 | 120 | 4 | C120:4C4 | 480,296 |
C120:5C4 = C24:F5 | φ: C4/C1 → C4 ⊆ Aut C120 | 120 | 4 | C120:5C4 | 480,297 |
C120:6C4 = C3xC40:C4 | φ: C4/C1 → C4 ⊆ Aut C120 | 120 | 4 | C120:6C4 | 480,273 |
C120:7C4 = F5xC24 | φ: C4/C1 → C4 ⊆ Aut C120 | 120 | 4 | C120:7C4 | 480,271 |
C120:8C4 = C3xC8:F5 | φ: C4/C1 → C4 ⊆ Aut C120 | 120 | 4 | C120:8C4 | 480,272 |
C120:9C4 = C120:9C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:9C4 | 480,178 |
C120:10C4 = C120:10C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:10C4 | 480,177 |
C120:11C4 = C3xC40:5C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:11C4 | 480,96 |
C120:12C4 = C8xDic15 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:12C4 | 480,173 |
C120:13C4 = C120:13C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:13C4 | 480,175 |
C120:14C4 = C5xC24:1C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:14C4 | 480,137 |
C120:15C4 = C3xC40:6C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:15C4 | 480,95 |
C120:16C4 = C5xC8:Dic3 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:16C4 | 480,136 |
C120:17C4 = Dic5xC24 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:17C4 | 480,91 |
C120:18C4 = C3xC40:8C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:18C4 | 480,93 |
C120:19C4 = C15xC2.D8 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:19C4 | 480,210 |
C120:20C4 = Dic3xC40 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:20C4 | 480,132 |
C120:21C4 = C5xC24:C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:21C4 | 480,134 |
C120:22C4 = C15xC4.Q8 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:22C4 | 480,209 |
C120:23C4 = C15xC8:C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120:23C4 | 480,200 |
Non-split extensions G=N.Q with N=C120 and Q=C4
extension | φ:Q→Aut N | d | ρ | Label | ID |
C120.1C4 = C24.1F5 | φ: C4/C1 → C4 ⊆ Aut C120 | 240 | 4 | C120.1C4 | 480,301 |
C120.2C4 = C40.Dic3 | φ: C4/C1 → C4 ⊆ Aut C120 | 240 | 4 | C120.2C4 | 480,300 |
C120.3C4 = C3xD10.Q8 | φ: C4/C1 → C4 ⊆ Aut C120 | 240 | 4 | C120.3C4 | 480,276 |
C120.4C4 = C15:C32 | φ: C4/C1 → C4 ⊆ Aut C120 | 480 | 4 | C120.4C4 | 480,6 |
C120.5C4 = C24.F5 | φ: C4/C1 → C4 ⊆ Aut C120 | 240 | 4 | C120.5C4 | 480,294 |
C120.6C4 = C120.C4 | φ: C4/C1 → C4 ⊆ Aut C120 | 240 | 4 | C120.6C4 | 480,295 |
C120.7C4 = C3xC40.C4 | φ: C4/C1 → C4 ⊆ Aut C120 | 240 | 4 | C120.7C4 | 480,275 |
C120.8C4 = C3xC5:C32 | φ: C4/C1 → C4 ⊆ Aut C120 | 480 | 4 | C120.8C4 | 480,5 |
C120.9C4 = C3xD5:C16 | φ: C4/C1 → C4 ⊆ Aut C120 | 240 | 4 | C120.9C4 | 480,269 |
C120.10C4 = C3xC8.F5 | φ: C4/C1 → C4 ⊆ Aut C120 | 240 | 4 | C120.10C4 | 480,270 |
C120.11C4 = C4.18D60 | φ: C4/C2 → C2 ⊆ Aut C120 | 240 | 2 | C120.11C4 | 480,179 |
C120.12C4 = C15:3C32 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | 2 | C120.12C4 | 480,3 |
C120.13C4 = C2xC15:3C16 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120.13C4 | 480,171 |
C120.14C4 = C60.7C8 | φ: C4/C2 → C2 ⊆ Aut C120 | 240 | 2 | C120.14C4 | 480,172 |
C120.15C4 = C5xC24.C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 240 | 2 | C120.15C4 | 480,138 |
C120.16C4 = C3xC40.6C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 240 | 2 | C120.16C4 | 480,97 |
C120.17C4 = C3xC5:2C32 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | 2 | C120.17C4 | 480,2 |
C120.18C4 = C6xC5:2C16 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120.18C4 | 480,89 |
C120.19C4 = C3xC20.4C8 | φ: C4/C2 → C2 ⊆ Aut C120 | 240 | 2 | C120.19C4 | 480,90 |
C120.20C4 = C5xC3:C32 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | 2 | C120.20C4 | 480,1 |
C120.21C4 = C10xC3:C16 | φ: C4/C2 → C2 ⊆ Aut C120 | 480 | | C120.21C4 | 480,130 |
C120.22C4 = C5xC12.C8 | φ: C4/C2 → C2 ⊆ Aut C120 | 240 | 2 | C120.22C4 | 480,131 |
C120.23C4 = C15xC8.C4 | φ: C4/C2 → C2 ⊆ Aut C120 | 240 | 2 | C120.23C4 | 480,211 |
C120.24C4 = C15xM5(2) | φ: C4/C2 → C2 ⊆ Aut C120 | 240 | 2 | C120.24C4 | 480,213 |
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