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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C22×S3

Direct product G=N×Q with N=Dic5 and Q=C22×S3
dρLabelID
C22×S3×Dic5240C2^2xS3xDic5480,1115

Semidirect products G=N:Q with N=Dic5 and Q=C22×S3
extensionφ:Q→Out NdρLabelID
Dic5⋊1(C22×S3) = S3×D4×D5φ: C22×S3/D6 → C2 ⊆ Out Dic5608+Dic5:1(C2^2xS3)480,1097
Dic5⋊2(C22×S3) = C2×S3×C5⋊D4φ: C22×S3/D6 → C2 ⊆ Out Dic5120Dic5:2(C2^2xS3)480,1123
Dic5⋊3(C22×S3) = C2×D10⋊D6φ: C22×S3/D6 → C2 ⊆ Out Dic5120Dic5:3(C2^2xS3)480,1124
Dic5⋊4(C22×S3) = C2×D5×D12φ: C22×S3/C2×C6 → C2 ⊆ Out Dic5120Dic5:4(C2^2xS3)480,1087
Dic5⋊5(C22×S3) = C22×C5⋊D12φ: C22×S3/C2×C6 → C2 ⊆ Out Dic5240Dic5:5(C2^2xS3)480,1120
Dic5⋊6(C22×S3) = S3×C2×C4×D5φ: trivial image120Dic5:6(C2^2xS3)480,1086
Dic5⋊7(C22×S3) = C22×D30.C2φ: trivial image240Dic5:7(C2^2xS3)480,1117

Non-split extensions G=N.Q with N=Dic5 and Q=C22×S3
extensionφ:Q→Out NdρLabelID
Dic5.1(C22×S3) = D20.38D6φ: C22×S3/D6 → C2 ⊆ Out Dic52404Dic5.1(C2^2xS3)480,1076
Dic5.2(C22×S3) = D20.39D6φ: C22×S3/D6 → C2 ⊆ Out Dic52404-Dic5.2(C2^2xS3)480,1077
Dic5.3(C22×S3) = C2×S3×Dic10φ: C22×S3/D6 → C2 ⊆ Out Dic5240Dic5.3(C2^2xS3)480,1078
Dic5.4(C22×S3) = C2×D12⋊D5φ: C22×S3/D6 → C2 ⊆ Out Dic5240Dic5.4(C2^2xS3)480,1079
Dic5.5(C22×S3) = C30.C24φ: C22×S3/D6 → C2 ⊆ Out Dic52404Dic5.5(C2^2xS3)480,1080
Dic5.6(C22×S3) = C2×D60⋊C2φ: C22×S3/D6 → C2 ⊆ Out Dic5240Dic5.6(C2^2xS3)480,1081
Dic5.7(C22×S3) = C2×D15⋊Q8φ: C22×S3/D6 → C2 ⊆ Out Dic5240Dic5.7(C2^2xS3)480,1082
Dic5.8(C22×S3) = S3×C4○D20φ: C22×S3/D6 → C2 ⊆ Out Dic51204Dic5.8(C2^2xS3)480,1091
Dic5.9(C22×S3) = D20⋊24D6φ: C22×S3/D6 → C2 ⊆ Out Dic51204Dic5.9(C2^2xS3)480,1092
Dic5.10(C22×S3) = D20⋊26D6φ: C22×S3/D6 → C2 ⊆ Out Dic51204Dic5.10(C2^2xS3)480,1094
Dic5.11(C22×S3) = D20⋊29D6φ: C22×S3/D6 → C2 ⊆ Out Dic51204+Dic5.11(C2^2xS3)480,1095
Dic5.12(C22×S3) = C15⋊2- 1+4φ: C22×S3/D6 → C2 ⊆ Out Dic52408-Dic5.12(C2^2xS3)480,1096
Dic5.13(C22×S3) = D5×D4⋊2S3φ: C22×S3/D6 → C2 ⊆ Out Dic51208-Dic5.13(C2^2xS3)480,1098
Dic5.14(C22×S3) = D30.C23φ: C22×S3/D6 → C2 ⊆ Out Dic51208+Dic5.14(C2^2xS3)480,1100
Dic5.15(C22×S3) = D20⋊13D6φ: C22×S3/D6 → C2 ⊆ Out Dic51208-Dic5.15(C2^2xS3)480,1101
Dic5.16(C22×S3) = D20⋊14D6φ: C22×S3/D6 → C2 ⊆ Out Dic51208+Dic5.16(C2^2xS3)480,1102
Dic5.17(C22×S3) = D12⋊14D10φ: C22×S3/D6 → C2 ⊆ Out Dic51208+Dic5.17(C2^2xS3)480,1103
Dic5.18(C22×S3) = C30.33C24φ: C22×S3/D6 → C2 ⊆ Out Dic52408+Dic5.18(C2^2xS3)480,1105
Dic5.19(C22×S3) = D12.29D10φ: C22×S3/D6 → C2 ⊆ Out Dic52408-Dic5.19(C2^2xS3)480,1106
Dic5.20(C22×S3) = S3×Q8×D5φ: C22×S3/D6 → C2 ⊆ Out Dic51208-Dic5.20(C2^2xS3)480,1107
Dic5.21(C22×S3) = D5×Q8⋊3S3φ: C22×S3/D6 → C2 ⊆ Out Dic51208+Dic5.21(C2^2xS3)480,1108
Dic5.22(C22×S3) = C2×Dic5.D6φ: C22×S3/D6 → C2 ⊆ Out Dic5240Dic5.22(C2^2xS3)480,1113
Dic5.23(C22×S3) = C2×C30.C23φ: C22×S3/D6 → C2 ⊆ Out Dic5240Dic5.23(C2^2xS3)480,1114
Dic5.24(C22×S3) = C15⋊2+ 1+4φ: C22×S3/D6 → C2 ⊆ Out Dic51204Dic5.24(C2^2xS3)480,1125
Dic5.25(C22×S3) = S3×D5⋊C8φ: C22×S3/D6 → C2 ⊆ Out Dic51208Dic5.25(C2^2xS3)480,986
Dic5.26(C22×S3) = D12.2F5φ: C22×S3/D6 → C2 ⊆ Out Dic52408-Dic5.26(C2^2xS3)480,987
Dic5.27(C22×S3) = S3×C4.F5φ: C22×S3/D6 → C2 ⊆ Out Dic51208Dic5.27(C2^2xS3)480,988
Dic5.28(C22×S3) = D12.F5φ: C22×S3/D6 → C2 ⊆ Out Dic52408-Dic5.28(C2^2xS3)480,989
Dic5.29(C22×S3) = D60.C4φ: C22×S3/D6 → C2 ⊆ Out Dic52408+Dic5.29(C2^2xS3)480,990
Dic5.30(C22×S3) = D15⋊M4(2)φ: C22×S3/D6 → C2 ⊆ Out Dic51208Dic5.30(C2^2xS3)480,991
Dic5.31(C22×S3) = Dic6.F5φ: C22×S3/D6 → C2 ⊆ Out Dic52408+Dic5.31(C2^2xS3)480,992
Dic5.32(C22×S3) = C5⋊C8⋊D6φ: C22×S3/D6 → C2 ⊆ Out Dic51208Dic5.32(C2^2xS3)480,993
Dic5.33(C22×S3) = C2×S3×C5⋊C8φ: C22×S3/D6 → C2 ⊆ Out Dic5240Dic5.33(C2^2xS3)480,1002
Dic5.34(C22×S3) = C5⋊C8.D6φ: C22×S3/D6 → C2 ⊆ Out Dic52408Dic5.34(C2^2xS3)480,1003
Dic5.35(C22×S3) = S3×C22.F5φ: C22×S3/D6 → C2 ⊆ Out Dic51208-Dic5.35(C2^2xS3)480,1004
Dic5.36(C22×S3) = D15⋊C8⋊C2φ: C22×S3/D6 → C2 ⊆ Out Dic52408Dic5.36(C2^2xS3)480,1005
Dic5.37(C22×S3) = C2×D15⋊C8φ: C22×S3/D6 → C2 ⊆ Out Dic5240Dic5.37(C2^2xS3)480,1006
Dic5.38(C22×S3) = D15⋊2M4(2)φ: C22×S3/D6 → C2 ⊆ Out Dic51208+Dic5.38(C2^2xS3)480,1007
Dic5.39(C22×S3) = C2×D6.F5φ: C22×S3/D6 → C2 ⊆ Out Dic5240Dic5.39(C2^2xS3)480,1008
Dic5.40(C22×S3) = C2×Dic3.F5φ: C22×S3/D6 → C2 ⊆ Out Dic5240Dic5.40(C2^2xS3)480,1009
Dic5.41(C22×S3) = C2×D5×Dic6φ: C22×S3/C2×C6 → C2 ⊆ Out Dic5240Dic5.41(C2^2xS3)480,1073
Dic5.42(C22×S3) = C2×D6.D10φ: C22×S3/C2×C6 → C2 ⊆ Out Dic5240Dic5.42(C2^2xS3)480,1083
Dic5.43(C22×S3) = D5×C4○D12φ: C22×S3/C2×C6 → C2 ⊆ Out Dic51204Dic5.43(C2^2xS3)480,1090
Dic5.44(C22×S3) = D20.29D6φ: C22×S3/C2×C6 → C2 ⊆ Out Dic52408-Dic5.44(C2^2xS3)480,1104
Dic5.45(C22×S3) = D20⋊17D6φ: C22×S3/C2×C6 → C2 ⊆ Out Dic51208+Dic5.45(C2^2xS3)480,1111
Dic5.46(C22×S3) = C2×Dic3.D10φ: C22×S3/C2×C6 → C2 ⊆ Out Dic5240Dic5.46(C2^2xS3)480,1116
Dic5.47(C22×S3) = C22×C15⋊Q8φ: C22×S3/C2×C6 → C2 ⊆ Out Dic5480Dic5.47(C2^2xS3)480,1121
Dic5.48(C22×S3) = C2×C60.C4φ: C22×S3/C2×C6 → C2 ⊆ Out Dic5240Dic5.48(C2^2xS3)480,1060
Dic5.49(C22×S3) = C2×C12.F5φ: C22×S3/C2×C6 → C2 ⊆ Out Dic5240Dic5.49(C2^2xS3)480,1061
Dic5.50(C22×S3) = C60.59(C2×C4)φ: C22×S3/C2×C6 → C2 ⊆ Out Dic51204Dic5.50(C2^2xS3)480,1062
Dic5.51(C22×S3) = Dic10.Dic3φ: C22×S3/C2×C6 → C2 ⊆ Out Dic52408Dic5.51(C2^2xS3)480,1066
Dic5.52(C22×S3) = D20.Dic3φ: C22×S3/C2×C6 → C2 ⊆ Out Dic52408Dic5.52(C2^2xS3)480,1068
Dic5.53(C22×S3) = C22×C15⋊C8φ: C22×S3/C2×C6 → C2 ⊆ Out Dic5480Dic5.53(C2^2xS3)480,1070
Dic5.54(C22×S3) = C2×C15⋊8M4(2)φ: C22×S3/C2×C6 → C2 ⊆ Out Dic5240Dic5.54(C2^2xS3)480,1071
Dic5.55(C22×S3) = C2×D12⋊5D5φ: trivial image240Dic5.55(C2^2xS3)480,1084
Dic5.56(C22×S3) = C2×C12.28D10φ: trivial image240Dic5.56(C2^2xS3)480,1085
Dic5.57(C22×S3) = S3×D4⋊2D5φ: trivial image1208-Dic5.57(C2^2xS3)480,1099
Dic5.58(C22×S3) = S3×Q8⋊2D5φ: trivial image1208+Dic5.58(C2^2xS3)480,1109
Dic5.59(C22×S3) = D20⋊16D6φ: trivial image1208-Dic5.59(C2^2xS3)480,1110

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