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Extensions 1→N→G→Q→1 with N=D10 and Q=C22xC6

Direct product G=NxQ with N=D10 and Q=C22xC6
dρLabelID
D5xC23xC6240D5xC2^3xC6480,1210

Semidirect products G=N:Q with N=D10 and Q=C22xC6
extensionφ:Q→Out NdρLabelID
D10:1(C22xC6) = C2xC6xD20φ: C22xC6/C2xC6 → C2 ⊆ Out D10240D10:1(C2^2xC6)480,1137
D10:2(C22xC6) = C6xD4xD5φ: C22xC6/C2xC6 → C2 ⊆ Out D10120D10:2(C2^2xC6)480,1139
D10:3(C22xC6) = C2xC6xC5:D4φ: C22xC6/C2xC6 → C2 ⊆ Out D10240D10:3(C2^2xC6)480,1149

Non-split extensions G=N.Q with N=D10 and Q=C22xC6
extensionφ:Q→Out NdρLabelID
D10.1(C22xC6) = C6xC4oD20φ: C22xC6/C2xC6 → C2 ⊆ Out D10240D10.1(C2^2xC6)480,1138
D10.2(C22xC6) = C6xD4:2D5φ: C22xC6/C2xC6 → C2 ⊆ Out D10240D10.2(C2^2xC6)480,1140
D10.3(C22xC6) = C3xD4:6D10φ: C22xC6/C2xC6 → C2 ⊆ Out D101204D10.3(C2^2xC6)480,1141
D10.4(C22xC6) = C6xQ8:2D5φ: C22xC6/C2xC6 → C2 ⊆ Out D10240D10.4(C2^2xC6)480,1143
D10.5(C22xC6) = C3xQ8.10D10φ: C22xC6/C2xC6 → C2 ⊆ Out D102404D10.5(C2^2xC6)480,1144
D10.6(C22xC6) = C3xD4:8D10φ: C22xC6/C2xC6 → C2 ⊆ Out D101204D10.6(C2^2xC6)480,1146
D10.7(C22xC6) = C3xD4.10D10φ: C22xC6/C2xC6 → C2 ⊆ Out D102404D10.7(C2^2xC6)480,1147
D10.8(C22xC6) = F5xC2xC12φ: C22xC6/C2xC6 → C2 ⊆ Out D10120D10.8(C2^2xC6)480,1050
D10.9(C22xC6) = C6xC4:F5φ: C22xC6/C2xC6 → C2 ⊆ Out D10120D10.9(C2^2xC6)480,1051
D10.10(C22xC6) = C3xD10.C23φ: C22xC6/C2xC6 → C2 ⊆ Out D101204D10.10(C2^2xC6)480,1052
D10.11(C22xC6) = C3xD4xF5φ: C22xC6/C2xC6 → C2 ⊆ Out D10608D10.11(C2^2xC6)480,1054
D10.12(C22xC6) = C3xQ8xF5φ: C22xC6/C2xC6 → C2 ⊆ Out D101208D10.12(C2^2xC6)480,1056
D10.13(C22xC6) = C6xC22:F5φ: C22xC6/C2xC6 → C2 ⊆ Out D10120D10.13(C2^2xC6)480,1059
D10.14(C22xC6) = F5xC22xC6φ: C22xC6/C2xC6 → C2 ⊆ Out D10120D10.14(C2^2xC6)480,1205
D10.15(C22xC6) = D5xC22xC12φ: trivial image240D10.15(C2^2xC6)480,1136
D10.16(C22xC6) = C6xQ8xD5φ: trivial image240D10.16(C2^2xC6)480,1142
D10.17(C22xC6) = C3xD5xC4oD4φ: trivial image1204D10.17(C2^2xC6)480,1145

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