Extensions 1→N→G→Q→1 with N=C30 and Q=M4(2)

Direct product G=NxQ with N=C30 and Q=M4(2)
dρLabelID
M4(2)xC30240M4(2)xC30480,935

Semidirect products G=N:Q with N=C30 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
C30:1M4(2) = C2xD6.F5φ: M4(2)/C2C2xC4 ⊆ Aut C30240C30:1M4(2)480,1008
C30:2M4(2) = C2xDic3.F5φ: M4(2)/C2C2xC4 ⊆ Aut C30240C30:2M4(2)480,1009
C30:3M4(2) = C2xC12.F5φ: M4(2)/C4C4 ⊆ Aut C30240C30:3M4(2)480,1061
C30:4M4(2) = C6xC4.F5φ: M4(2)/C4C4 ⊆ Aut C30240C30:4M4(2)480,1048
C30:5M4(2) = C2xC20.32D6φ: M4(2)/C4C22 ⊆ Aut C30240C30:5M4(2)480,369
C30:6M4(2) = C2xD6.Dic5φ: M4(2)/C4C22 ⊆ Aut C30240C30:6M4(2)480,370
C30:7M4(2) = C2xD30.5C4φ: M4(2)/C4C22 ⊆ Aut C30240C30:7M4(2)480,371
C30:8M4(2) = C2xC15:8M4(2)φ: M4(2)/C22C4 ⊆ Aut C30240C30:8M4(2)480,1071
C30:9M4(2) = C6xC22.F5φ: M4(2)/C22C4 ⊆ Aut C30240C30:9M4(2)480,1058
C30:10M4(2) = C2xC40:S3φ: M4(2)/C8C2 ⊆ Aut C30240C30:10M4(2)480,865
C30:11M4(2) = C6xC8:D5φ: M4(2)/C8C2 ⊆ Aut C30240C30:11M4(2)480,693
C30:12M4(2) = C10xC8:S3φ: M4(2)/C8C2 ⊆ Aut C30240C30:12M4(2)480,779
C30:13M4(2) = C2xC60.7C4φ: M4(2)/C2xC4C2 ⊆ Aut C30240C30:13M4(2)480,886
C30:14M4(2) = C6xC4.Dic5φ: M4(2)/C2xC4C2 ⊆ Aut C30240C30:14M4(2)480,714
C30:15M4(2) = C10xC4.Dic3φ: M4(2)/C2xC4C2 ⊆ Aut C30240C30:15M4(2)480,800

Non-split extensions G=N.Q with N=C30 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
C30.1M4(2) = C30.M4(2)φ: M4(2)/C2C2xC4 ⊆ Aut C30480C30.1M4(2)480,245
C30.2M4(2) = Dic5.22D12φ: M4(2)/C2C2xC4 ⊆ Aut C30240C30.2M4(2)480,246
C30.3M4(2) = D30:C8φ: M4(2)/C2C2xC4 ⊆ Aut C30240C30.3M4(2)480,247
C30.4M4(2) = C30.4M4(2)φ: M4(2)/C2C2xC4 ⊆ Aut C30480C30.4M4(2)480,252
C30.5M4(2) = Dic15:C8φ: M4(2)/C2C2xC4 ⊆ Aut C30480C30.5M4(2)480,253
C30.6M4(2) = C60:C8φ: M4(2)/C4C4 ⊆ Aut C30480C30.6M4(2)480,306
C30.7M4(2) = C30.7M4(2)φ: M4(2)/C4C4 ⊆ Aut C30240C30.7M4(2)480,308
C30.8M4(2) = C3xC20:C8φ: M4(2)/C4C4 ⊆ Aut C30480C30.8M4(2)480,281
C30.9M4(2) = C3xC10.C42φ: M4(2)/C4C4 ⊆ Aut C30480C30.9M4(2)480,282
C30.10M4(2) = C3xD10:C8φ: M4(2)/C4C4 ⊆ Aut C30240C30.10M4(2)480,283
C30.11M4(2) = C30.21C42φ: M4(2)/C4C22 ⊆ Aut C30480C30.11M4(2)480,28
C30.12M4(2) = C30.22C42φ: M4(2)/C4C22 ⊆ Aut C30480C30.12M4(2)480,29
C30.13M4(2) = C30.23C42φ: M4(2)/C4C22 ⊆ Aut C30480C30.13M4(2)480,30
C30.14M4(2) = C60.93D4φ: M4(2)/C4C22 ⊆ Aut C30240C30.14M4(2)480,31
C30.15M4(2) = C60.94D4φ: M4(2)/C4C22 ⊆ Aut C30240C30.15M4(2)480,32
C30.16M4(2) = D30:4C8φ: M4(2)/C4C22 ⊆ Aut C30240C30.16M4(2)480,33
C30.17M4(2) = C60.13Q8φ: M4(2)/C4C22 ⊆ Aut C30480C30.17M4(2)480,58
C30.18M4(2) = C60.14Q8φ: M4(2)/C4C22 ⊆ Aut C30480C30.18M4(2)480,59
C30.19M4(2) = C60.15Q8φ: M4(2)/C4C22 ⊆ Aut C30480C30.19M4(2)480,60
C30.20M4(2) = C30.11C42φ: M4(2)/C22C4 ⊆ Aut C30480C30.20M4(2)480,307
C30.21M4(2) = Dic5.13D12φ: M4(2)/C22C4 ⊆ Aut C30480C30.21M4(2)480,309
C30.22M4(2) = C30.22M4(2)φ: M4(2)/C22C4 ⊆ Aut C30240C30.22M4(2)480,317
C30.23M4(2) = C3xDic5:C8φ: M4(2)/C22C4 ⊆ Aut C30480C30.23M4(2)480,284
C30.24M4(2) = C3xC23.2F5φ: M4(2)/C22C4 ⊆ Aut C30240C30.24M4(2)480,292
C30.25M4(2) = C60.26Q8φ: M4(2)/C8C2 ⊆ Aut C30480C30.25M4(2)480,174
C30.26M4(2) = C120:13C4φ: M4(2)/C8C2 ⊆ Aut C30480C30.26M4(2)480,175
C30.27M4(2) = D30:3C8φ: M4(2)/C8C2 ⊆ Aut C30240C30.27M4(2)480,180
C30.28M4(2) = C3xC20.8Q8φ: M4(2)/C8C2 ⊆ Aut C30480C30.28M4(2)480,92
C30.29M4(2) = C3xC40:8C4φ: M4(2)/C8C2 ⊆ Aut C30480C30.29M4(2)480,93
C30.30M4(2) = C3xD10:1C8φ: M4(2)/C8C2 ⊆ Aut C30240C30.30M4(2)480,98
C30.31M4(2) = C5xDic3:C8φ: M4(2)/C8C2 ⊆ Aut C30480C30.31M4(2)480,133
C30.32M4(2) = C5xC24:C4φ: M4(2)/C8C2 ⊆ Aut C30480C30.32M4(2)480,134
C30.33M4(2) = C5xD6:C8φ: M4(2)/C8C2 ⊆ Aut C30240C30.33M4(2)480,139
C30.34M4(2) = C42.D15φ: M4(2)/C2xC4C2 ⊆ Aut C30480C30.34M4(2)480,163
C30.35M4(2) = C60:5C8φ: M4(2)/C2xC4C2 ⊆ Aut C30480C30.35M4(2)480,164
C30.36M4(2) = C60.212D4φ: M4(2)/C2xC4C2 ⊆ Aut C30240C30.36M4(2)480,190
C30.37M4(2) = C3xC42.D5φ: M4(2)/C2xC4C2 ⊆ Aut C30480C30.37M4(2)480,81
C30.38M4(2) = C3xC20:3C8φ: M4(2)/C2xC4C2 ⊆ Aut C30480C30.38M4(2)480,82
C30.39M4(2) = C3xC20.55D4φ: M4(2)/C2xC4C2 ⊆ Aut C30240C30.39M4(2)480,108
C30.40M4(2) = C5xC42.S3φ: M4(2)/C2xC4C2 ⊆ Aut C30480C30.40M4(2)480,122
C30.41M4(2) = C5xC12:C8φ: M4(2)/C2xC4C2 ⊆ Aut C30480C30.41M4(2)480,123
C30.42M4(2) = C5xC12.55D4φ: M4(2)/C2xC4C2 ⊆ Aut C30240C30.42M4(2)480,149
C30.43M4(2) = C15xC8:C4central extension (φ=1)480C30.43M4(2)480,200
C30.44M4(2) = C15xC22:C8central extension (φ=1)240C30.44M4(2)480,201
C30.45M4(2) = C15xC4:C8central extension (φ=1)480C30.45M4(2)480,208

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