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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C22xS3

Direct product G=NxQ with N=Dic5 and Q=C22xS3
dρLabelID
C22xS3xDic5240C2^2xS3xDic5480,1115

Semidirect products G=N:Q with N=Dic5 and Q=C22xS3
extensionφ:Q→Out NdρLabelID
Dic5:1(C22xS3) = S3xD4xD5φ: C22xS3/D6 → C2 ⊆ Out Dic5608+Dic5:1(C2^2xS3)480,1097
Dic5:2(C22xS3) = C2xS3xC5:D4φ: C22xS3/D6 → C2 ⊆ Out Dic5120Dic5:2(C2^2xS3)480,1123
Dic5:3(C22xS3) = C2xD10:D6φ: C22xS3/D6 → C2 ⊆ Out Dic5120Dic5:3(C2^2xS3)480,1124
Dic5:4(C22xS3) = C2xD5xD12φ: C22xS3/C2xC6 → C2 ⊆ Out Dic5120Dic5:4(C2^2xS3)480,1087
Dic5:5(C22xS3) = C22xC5:D12φ: C22xS3/C2xC6 → C2 ⊆ Out Dic5240Dic5:5(C2^2xS3)480,1120
Dic5:6(C22xS3) = S3xC2xC4xD5φ: trivial image120Dic5:6(C2^2xS3)480,1086
Dic5:7(C22xS3) = C22xD30.C2φ: trivial image240Dic5:7(C2^2xS3)480,1117

Non-split extensions G=N.Q with N=Dic5 and Q=C22xS3
extensionφ:Q→Out NdρLabelID
Dic5.1(C22xS3) = D20.38D6φ: C22xS3/D6 → C2 ⊆ Out Dic52404Dic5.1(C2^2xS3)480,1076
Dic5.2(C22xS3) = D20.39D6φ: C22xS3/D6 → C2 ⊆ Out Dic52404-Dic5.2(C2^2xS3)480,1077
Dic5.3(C22xS3) = C2xS3xDic10φ: C22xS3/D6 → C2 ⊆ Out Dic5240Dic5.3(C2^2xS3)480,1078
Dic5.4(C22xS3) = C2xD12:D5φ: C22xS3/D6 → C2 ⊆ Out Dic5240Dic5.4(C2^2xS3)480,1079
Dic5.5(C22xS3) = C30.C24φ: C22xS3/D6 → C2 ⊆ Out Dic52404Dic5.5(C2^2xS3)480,1080
Dic5.6(C22xS3) = C2xD60:C2φ: C22xS3/D6 → C2 ⊆ Out Dic5240Dic5.6(C2^2xS3)480,1081
Dic5.7(C22xS3) = C2xD15:Q8φ: C22xS3/D6 → C2 ⊆ Out Dic5240Dic5.7(C2^2xS3)480,1082
Dic5.8(C22xS3) = S3xC4oD20φ: C22xS3/D6 → C2 ⊆ Out Dic51204Dic5.8(C2^2xS3)480,1091
Dic5.9(C22xS3) = D20:24D6φ: C22xS3/D6 → C2 ⊆ Out Dic51204Dic5.9(C2^2xS3)480,1092
Dic5.10(C22xS3) = D20:26D6φ: C22xS3/D6 → C2 ⊆ Out Dic51204Dic5.10(C2^2xS3)480,1094
Dic5.11(C22xS3) = D20:29D6φ: C22xS3/D6 → C2 ⊆ Out Dic51204+Dic5.11(C2^2xS3)480,1095
Dic5.12(C22xS3) = C15:2- 1+4φ: C22xS3/D6 → C2 ⊆ Out Dic52408-Dic5.12(C2^2xS3)480,1096
Dic5.13(C22xS3) = D5xD4:2S3φ: C22xS3/D6 → C2 ⊆ Out Dic51208-Dic5.13(C2^2xS3)480,1098
Dic5.14(C22xS3) = D30.C23φ: C22xS3/D6 → C2 ⊆ Out Dic51208+Dic5.14(C2^2xS3)480,1100
Dic5.15(C22xS3) = D20:13D6φ: C22xS3/D6 → C2 ⊆ Out Dic51208-Dic5.15(C2^2xS3)480,1101
Dic5.16(C22xS3) = D20:14D6φ: C22xS3/D6 → C2 ⊆ Out Dic51208+Dic5.16(C2^2xS3)480,1102
Dic5.17(C22xS3) = D12:14D10φ: C22xS3/D6 → C2 ⊆ Out Dic51208+Dic5.17(C2^2xS3)480,1103
Dic5.18(C22xS3) = C30.33C24φ: C22xS3/D6 → C2 ⊆ Out Dic52408+Dic5.18(C2^2xS3)480,1105
Dic5.19(C22xS3) = D12.29D10φ: C22xS3/D6 → C2 ⊆ Out Dic52408-Dic5.19(C2^2xS3)480,1106
Dic5.20(C22xS3) = S3xQ8xD5φ: C22xS3/D6 → C2 ⊆ Out Dic51208-Dic5.20(C2^2xS3)480,1107
Dic5.21(C22xS3) = D5xQ8:3S3φ: C22xS3/D6 → C2 ⊆ Out Dic51208+Dic5.21(C2^2xS3)480,1108
Dic5.22(C22xS3) = C2xDic5.D6φ: C22xS3/D6 → C2 ⊆ Out Dic5240Dic5.22(C2^2xS3)480,1113
Dic5.23(C22xS3) = C2xC30.C23φ: C22xS3/D6 → C2 ⊆ Out Dic5240Dic5.23(C2^2xS3)480,1114
Dic5.24(C22xS3) = C15:2+ 1+4φ: C22xS3/D6 → C2 ⊆ Out Dic51204Dic5.24(C2^2xS3)480,1125
Dic5.25(C22xS3) = S3xD5:C8φ: C22xS3/D6 → C2 ⊆ Out Dic51208Dic5.25(C2^2xS3)480,986
Dic5.26(C22xS3) = D12.2F5φ: C22xS3/D6 → C2 ⊆ Out Dic52408-Dic5.26(C2^2xS3)480,987
Dic5.27(C22xS3) = S3xC4.F5φ: C22xS3/D6 → C2 ⊆ Out Dic51208Dic5.27(C2^2xS3)480,988
Dic5.28(C22xS3) = D12.F5φ: C22xS3/D6 → C2 ⊆ Out Dic52408-Dic5.28(C2^2xS3)480,989
Dic5.29(C22xS3) = D60.C4φ: C22xS3/D6 → C2 ⊆ Out Dic52408+Dic5.29(C2^2xS3)480,990
Dic5.30(C22xS3) = D15:M4(2)φ: C22xS3/D6 → C2 ⊆ Out Dic51208Dic5.30(C2^2xS3)480,991
Dic5.31(C22xS3) = Dic6.F5φ: C22xS3/D6 → C2 ⊆ Out Dic52408+Dic5.31(C2^2xS3)480,992
Dic5.32(C22xS3) = C5:C8:D6φ: C22xS3/D6 → C2 ⊆ Out Dic51208Dic5.32(C2^2xS3)480,993
Dic5.33(C22xS3) = C2xS3xC5:C8φ: C22xS3/D6 → C2 ⊆ Out Dic5240Dic5.33(C2^2xS3)480,1002
Dic5.34(C22xS3) = C5:C8.D6φ: C22xS3/D6 → C2 ⊆ Out Dic52408Dic5.34(C2^2xS3)480,1003
Dic5.35(C22xS3) = S3xC22.F5φ: C22xS3/D6 → C2 ⊆ Out Dic51208-Dic5.35(C2^2xS3)480,1004
Dic5.36(C22xS3) = D15:C8:C2φ: C22xS3/D6 → C2 ⊆ Out Dic52408Dic5.36(C2^2xS3)480,1005
Dic5.37(C22xS3) = C2xD15:C8φ: C22xS3/D6 → C2 ⊆ Out Dic5240Dic5.37(C2^2xS3)480,1006
Dic5.38(C22xS3) = D15:2M4(2)φ: C22xS3/D6 → C2 ⊆ Out Dic51208+Dic5.38(C2^2xS3)480,1007
Dic5.39(C22xS3) = C2xD6.F5φ: C22xS3/D6 → C2 ⊆ Out Dic5240Dic5.39(C2^2xS3)480,1008
Dic5.40(C22xS3) = C2xDic3.F5φ: C22xS3/D6 → C2 ⊆ Out Dic5240Dic5.40(C2^2xS3)480,1009
Dic5.41(C22xS3) = C2xD5xDic6φ: C22xS3/C2xC6 → C2 ⊆ Out Dic5240Dic5.41(C2^2xS3)480,1073
Dic5.42(C22xS3) = C2xD6.D10φ: C22xS3/C2xC6 → C2 ⊆ Out Dic5240Dic5.42(C2^2xS3)480,1083
Dic5.43(C22xS3) = D5xC4oD12φ: C22xS3/C2xC6 → C2 ⊆ Out Dic51204Dic5.43(C2^2xS3)480,1090
Dic5.44(C22xS3) = D20.29D6φ: C22xS3/C2xC6 → C2 ⊆ Out Dic52408-Dic5.44(C2^2xS3)480,1104
Dic5.45(C22xS3) = D20:17D6φ: C22xS3/C2xC6 → C2 ⊆ Out Dic51208+Dic5.45(C2^2xS3)480,1111
Dic5.46(C22xS3) = C2xDic3.D10φ: C22xS3/C2xC6 → C2 ⊆ Out Dic5240Dic5.46(C2^2xS3)480,1116
Dic5.47(C22xS3) = C22xC15:Q8φ: C22xS3/C2xC6 → C2 ⊆ Out Dic5480Dic5.47(C2^2xS3)480,1121
Dic5.48(C22xS3) = C2xC60.C4φ: C22xS3/C2xC6 → C2 ⊆ Out Dic5240Dic5.48(C2^2xS3)480,1060
Dic5.49(C22xS3) = C2xC12.F5φ: C22xS3/C2xC6 → C2 ⊆ Out Dic5240Dic5.49(C2^2xS3)480,1061
Dic5.50(C22xS3) = C60.59(C2xC4)φ: C22xS3/C2xC6 → C2 ⊆ Out Dic51204Dic5.50(C2^2xS3)480,1062
Dic5.51(C22xS3) = Dic10.Dic3φ: C22xS3/C2xC6 → C2 ⊆ Out Dic52408Dic5.51(C2^2xS3)480,1066
Dic5.52(C22xS3) = D20.Dic3φ: C22xS3/C2xC6 → C2 ⊆ Out Dic52408Dic5.52(C2^2xS3)480,1068
Dic5.53(C22xS3) = C22xC15:C8φ: C22xS3/C2xC6 → C2 ⊆ Out Dic5480Dic5.53(C2^2xS3)480,1070
Dic5.54(C22xS3) = C2xC15:8M4(2)φ: C22xS3/C2xC6 → C2 ⊆ Out Dic5240Dic5.54(C2^2xS3)480,1071
Dic5.55(C22xS3) = C2xD12:5D5φ: trivial image240Dic5.55(C2^2xS3)480,1084
Dic5.56(C22xS3) = C2xC12.28D10φ: trivial image240Dic5.56(C2^2xS3)480,1085
Dic5.57(C22xS3) = S3xD4:2D5φ: trivial image1208-Dic5.57(C2^2xS3)480,1099
Dic5.58(C22xS3) = S3xQ8:2D5φ: trivial image1208+Dic5.58(C2^2xS3)480,1109
Dic5.59(C22xS3) = D20:16D6φ: trivial image1208-Dic5.59(C2^2xS3)480,1110

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