# Extensions 1→N→G→Q→1 with N=C30 and Q=C42

Direct product G=N×Q with N=C30 and Q=C42
dρLabelID
C2×C4×C60480C2xC4xC60480,919

Semidirect products G=N:Q with N=C30 and Q=C42
extensionφ:Q→Aut NdρLabelID
C30⋊C42 = C2×Dic3×F5φ: C42/C2C2×C4 ⊆ Aut C30120C30:C4^2480,998
C302C42 = C2×C4×C3⋊F5φ: C42/C4C4 ⊆ Aut C30120C30:2C4^2480,1063
C303C42 = F5×C2×C12φ: C42/C4C4 ⊆ Aut C30120C30:3C4^2480,1050
C304C42 = C2×Dic3×Dic5φ: C42/C22C22 ⊆ Aut C30480C30:4C4^2480,603
C305C42 = C2×C4×Dic15φ: C42/C2×C4C2 ⊆ Aut C30480C30:5C4^2480,887
C306C42 = Dic5×C2×C12φ: C42/C2×C4C2 ⊆ Aut C30480C30:6C4^2480,715
C307C42 = Dic3×C2×C20φ: C42/C2×C4C2 ⊆ Aut C30480C30:7C4^2480,801

Non-split extensions G=N.Q with N=C30 and Q=C42
extensionφ:Q→Aut NdρLabelID
C30.1C42 = F5×C3⋊C8φ: C42/C2C2×C4 ⊆ Aut C301208C30.1C4^2480,223
C30.2C42 = C30.C42φ: C42/C2C2×C4 ⊆ Aut C301208C30.2C4^2480,224
C30.3C42 = C30.3C42φ: C42/C2C2×C4 ⊆ Aut C301208C30.3C4^2480,225
C30.4C42 = C30.4C42φ: C42/C2C2×C4 ⊆ Aut C301208C30.4C4^2480,226
C30.5C42 = D10.20D12φ: C42/C2C2×C4 ⊆ Aut C30120C30.5C4^2480,243
C30.6C42 = Dic3×C5⋊C8φ: C42/C2C2×C4 ⊆ Aut C30480C30.6C4^2480,244
C30.7C42 = C30.M4(2)φ: C42/C2C2×C4 ⊆ Aut C30480C30.7C4^2480,245
C30.8C42 = C8×C3⋊F5φ: C42/C4C4 ⊆ Aut C301204C30.8C4^2480,296
C30.9C42 = C24⋊F5φ: C42/C4C4 ⊆ Aut C301204C30.9C4^2480,297
C30.10C42 = C4×C15⋊C8φ: C42/C4C4 ⊆ Aut C30480C30.10C4^2480,305
C30.11C42 = C30.11C42φ: C42/C4C4 ⊆ Aut C30480C30.11C4^2480,307
C30.12C42 = D10.10D12φ: C42/C4C4 ⊆ Aut C30120C30.12C4^2480,311
C30.13C42 = F5×C24φ: C42/C4C4 ⊆ Aut C301204C30.13C4^2480,271
C30.14C42 = C3×C8⋊F5φ: C42/C4C4 ⊆ Aut C301204C30.14C4^2480,272
C30.15C42 = C12×C5⋊C8φ: C42/C4C4 ⊆ Aut C30480C30.15C4^2480,280
C30.16C42 = C3×C10.C42φ: C42/C4C4 ⊆ Aut C30480C30.16C4^2480,282
C30.17C42 = C3×D10.3Q8φ: C42/C4C4 ⊆ Aut C30120C30.17C4^2480,286
C30.18C42 = Dic5×C3⋊C8φ: C42/C22C22 ⊆ Aut C30480C30.18C4^2480,25
C30.19C42 = Dic3×C52C8φ: C42/C22C22 ⊆ Aut C30480C30.19C4^2480,26
C30.20C42 = Dic154C8φ: C42/C22C22 ⊆ Aut C30480C30.20C4^2480,27
C30.21C42 = C30.21C42φ: C42/C22C22 ⊆ Aut C30480C30.21C4^2480,28
C30.22C42 = C30.22C42φ: C42/C22C22 ⊆ Aut C30480C30.22C4^2480,29
C30.23C42 = C30.23C42φ: C42/C22C22 ⊆ Aut C30480C30.23C4^2480,30
C30.24C42 = C30.24C42φ: C42/C22C22 ⊆ Aut C30480C30.24C4^2480,70
C30.25C42 = C4×C153C8φ: C42/C2×C4C2 ⊆ Aut C30480C30.25C4^2480,162
C30.26C42 = C42.D15φ: C42/C2×C4C2 ⊆ Aut C30480C30.26C4^2480,163
C30.27C42 = C8×Dic15φ: C42/C2×C4C2 ⊆ Aut C30480C30.27C4^2480,173
C30.28C42 = C12013C4φ: C42/C2×C4C2 ⊆ Aut C30480C30.28C4^2480,175
C30.29C42 = C30.29C42φ: C42/C2×C4C2 ⊆ Aut C30480C30.29C4^2480,191
C30.30C42 = C12×C52C8φ: C42/C2×C4C2 ⊆ Aut C30480C30.30C4^2480,80
C30.31C42 = C3×C42.D5φ: C42/C2×C4C2 ⊆ Aut C30480C30.31C4^2480,81
C30.32C42 = Dic5×C24φ: C42/C2×C4C2 ⊆ Aut C30480C30.32C4^2480,91
C30.33C42 = C3×C408C4φ: C42/C2×C4C2 ⊆ Aut C30480C30.33C4^2480,93
C30.34C42 = C3×C10.10C42φ: C42/C2×C4C2 ⊆ Aut C30480C30.34C4^2480,109
C30.35C42 = C20×C3⋊C8φ: C42/C2×C4C2 ⊆ Aut C30480C30.35C4^2480,121
C30.36C42 = C5×C42.S3φ: C42/C2×C4C2 ⊆ Aut C30480C30.36C4^2480,122
C30.37C42 = Dic3×C40φ: C42/C2×C4C2 ⊆ Aut C30480C30.37C4^2480,132
C30.38C42 = C5×C24⋊C4φ: C42/C2×C4C2 ⊆ Aut C30480C30.38C4^2480,134
C30.39C42 = C5×C6.C42φ: C42/C2×C4C2 ⊆ Aut C30480C30.39C4^2480,150
C30.40C42 = C15×C2.C42central extension (φ=1)480C30.40C4^2480,198
C30.41C42 = C15×C8⋊C4central extension (φ=1)480C30.41C4^2480,200

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