Extensions 1→N→G→Q→1 with N=D6 and Q=C22xC10

Direct product G=NxQ with N=D6 and Q=C22xC10
dρLabelID
S3xC23xC10240S3xC2^3xC10480,1211

Semidirect products G=N:Q with N=D6 and Q=C22xC10
extensionφ:Q→Out NdρLabelID
D6:1(C22xC10) = C2xC10xD12φ: C22xC10/C2xC10C2 ⊆ Out D6240D6:1(C2^2xC10)480,1152
D6:2(C22xC10) = S3xD4xC10φ: C22xC10/C2xC10C2 ⊆ Out D6120D6:2(C2^2xC10)480,1154
D6:3(C22xC10) = C2xC10xC3:D4φ: C22xC10/C2xC10C2 ⊆ Out D6240D6:3(C2^2xC10)480,1164

Non-split extensions G=N.Q with N=D6 and Q=C22xC10
extensionφ:Q→Out NdρLabelID
D6.1(C22xC10) = C10xC4oD12φ: C22xC10/C2xC10C2 ⊆ Out D6240D6.1(C2^2xC10)480,1153
D6.2(C22xC10) = C10xD4:2S3φ: C22xC10/C2xC10C2 ⊆ Out D6240D6.2(C2^2xC10)480,1155
D6.3(C22xC10) = C5xD4:6D6φ: C22xC10/C2xC10C2 ⊆ Out D61204D6.3(C2^2xC10)480,1156
D6.4(C22xC10) = C10xQ8:3S3φ: C22xC10/C2xC10C2 ⊆ Out D6240D6.4(C2^2xC10)480,1158
D6.5(C22xC10) = C5xQ8.15D6φ: C22xC10/C2xC10C2 ⊆ Out D62404D6.5(C2^2xC10)480,1159
D6.6(C22xC10) = C5xD4oD12φ: C22xC10/C2xC10C2 ⊆ Out D61204D6.6(C2^2xC10)480,1161
D6.7(C22xC10) = C5xQ8oD12φ: C22xC10/C2xC10C2 ⊆ Out D62404D6.7(C2^2xC10)480,1162
D6.8(C22xC10) = S3xC22xC20φ: trivial image240D6.8(C2^2xC10)480,1151
D6.9(C22xC10) = S3xQ8xC10φ: trivial image240D6.9(C2^2xC10)480,1157
D6.10(C22xC10) = C5xS3xC4oD4φ: trivial image1204D6.10(C2^2xC10)480,1160

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