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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C22xC6

Direct product G=NxQ with N=Dic5 and Q=C22xC6
dρLabelID
Dic5xC22xC6480Dic5xC2^2xC6480,1148

Semidirect products G=N:Q with N=Dic5 and Q=C22xC6
extensionφ:Q→Out NdρLabelID
Dic5:1(C22xC6) = C6xD4xD5φ: C22xC6/C2xC6 → C2 ⊆ Out Dic5120Dic5:1(C2^2xC6)480,1139
Dic5:2(C22xC6) = C2xC6xC5:D4φ: C22xC6/C2xC6 → C2 ⊆ Out Dic5240Dic5:2(C2^2xC6)480,1149
Dic5:3(C22xC6) = D5xC22xC12φ: trivial image240Dic5:3(C2^2xC6)480,1136

Non-split extensions G=N.Q with N=Dic5 and Q=C22xC6
extensionφ:Q→Out NdρLabelID
Dic5.1(C22xC6) = C2xC6xDic10φ: C22xC6/C2xC6 → C2 ⊆ Out Dic5480Dic5.1(C2^2xC6)480,1135
Dic5.2(C22xC6) = C6xC4oD20φ: C22xC6/C2xC6 → C2 ⊆ Out Dic5240Dic5.2(C2^2xC6)480,1138
Dic5.3(C22xC6) = C6xD4:2D5φ: C22xC6/C2xC6 → C2 ⊆ Out Dic5240Dic5.3(C2^2xC6)480,1140
Dic5.4(C22xC6) = C3xD4:6D10φ: C22xC6/C2xC6 → C2 ⊆ Out Dic51204Dic5.4(C2^2xC6)480,1141
Dic5.5(C22xC6) = C6xQ8xD5φ: C22xC6/C2xC6 → C2 ⊆ Out Dic5240Dic5.5(C2^2xC6)480,1142
Dic5.6(C22xC6) = C3xQ8.10D10φ: C22xC6/C2xC6 → C2 ⊆ Out Dic52404Dic5.6(C2^2xC6)480,1144
Dic5.7(C22xC6) = C3xD4:8D10φ: C22xC6/C2xC6 → C2 ⊆ Out Dic51204Dic5.7(C2^2xC6)480,1146
Dic5.8(C22xC6) = C3xD4.10D10φ: C22xC6/C2xC6 → C2 ⊆ Out Dic52404Dic5.8(C2^2xC6)480,1147
Dic5.9(C22xC6) = C6xD5:C8φ: C22xC6/C2xC6 → C2 ⊆ Out Dic5240Dic5.9(C2^2xC6)480,1047
Dic5.10(C22xC6) = C6xC4.F5φ: C22xC6/C2xC6 → C2 ⊆ Out Dic5240Dic5.10(C2^2xC6)480,1048
Dic5.11(C22xC6) = C3xD5:M4(2)φ: C22xC6/C2xC6 → C2 ⊆ Out Dic51204Dic5.11(C2^2xC6)480,1049
Dic5.12(C22xC6) = C3xD4.F5φ: C22xC6/C2xC6 → C2 ⊆ Out Dic52408Dic5.12(C2^2xC6)480,1053
Dic5.13(C22xC6) = C3xQ8.F5φ: C22xC6/C2xC6 → C2 ⊆ Out Dic52408Dic5.13(C2^2xC6)480,1055
Dic5.14(C22xC6) = C2xC6xC5:C8φ: C22xC6/C2xC6 → C2 ⊆ Out Dic5480Dic5.14(C2^2xC6)480,1057
Dic5.15(C22xC6) = C6xC22.F5φ: C22xC6/C2xC6 → C2 ⊆ Out Dic5240Dic5.15(C2^2xC6)480,1058
Dic5.16(C22xC6) = C6xQ8:2D5φ: trivial image240Dic5.16(C2^2xC6)480,1143
Dic5.17(C22xC6) = C3xD5xC4oD4φ: trivial image1204Dic5.17(C2^2xC6)480,1145

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