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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C22×D5

Direct product G=N×Q with N=Dic3 and Q=C22×D5
dρLabelID
C22×D5×Dic3240C2^2xD5xDic3480,1112

Semidirect products G=N:Q with N=Dic3 and Q=C22×D5
extensionφ:Q→Out NdρLabelID
Dic3⋊1(C22×D5) = S3×D4×D5φ: C22×D5/D10 → C2 ⊆ Out Dic3608+Dic3:1(C2^2xD5)480,1097
Dic3⋊2(C22×D5) = C2×D5×C3⋊D4φ: C22×D5/D10 → C2 ⊆ Out Dic3120Dic3:2(C2^2xD5)480,1122
Dic3⋊3(C22×D5) = C2×D10⋊D6φ: C22×D5/D10 → C2 ⊆ Out Dic3120Dic3:3(C2^2xD5)480,1124
Dic3⋊4(C22×D5) = C2×S3×D20φ: C22×D5/C2×C10 → C2 ⊆ Out Dic3120Dic3:4(C2^2xD5)480,1088
Dic3⋊5(C22×D5) = C22×C3⋊D20φ: C22×D5/C2×C10 → C2 ⊆ Out Dic3240Dic3:5(C2^2xD5)480,1119
Dic3⋊6(C22×D5) = S3×C2×C4×D5φ: trivial image120Dic3:6(C2^2xD5)480,1086
Dic3⋊7(C22×D5) = C22×D30.C2φ: trivial image240Dic3:7(C2^2xD5)480,1117

Non-split extensions G=N.Q with N=Dic3 and Q=C22×D5
extensionφ:Q→Out NdρLabelID
Dic3.1(C22×D5) = C2×D5×Dic6φ: C22×D5/D10 → C2 ⊆ Out Dic3240Dic3.1(C2^2xD5)480,1073
Dic3.2(C22×D5) = C2×D20⋊S3φ: C22×D5/D10 → C2 ⊆ Out Dic3240Dic3.2(C2^2xD5)480,1075
Dic3.3(C22×D5) = D20.38D6φ: C22×D5/D10 → C2 ⊆ Out Dic32404Dic3.3(C2^2xD5)480,1076
Dic3.4(C22×D5) = D20.39D6φ: C22×D5/D10 → C2 ⊆ Out Dic32404-Dic3.4(C2^2xD5)480,1077
Dic3.5(C22×D5) = C30.C24φ: C22×D5/D10 → C2 ⊆ Out Dic32404Dic3.5(C2^2xD5)480,1080
Dic3.6(C22×D5) = C2×D15⋊Q8φ: C22×D5/D10 → C2 ⊆ Out Dic3240Dic3.6(C2^2xD5)480,1082
Dic3.7(C22×D5) = C2×C12.28D10φ: C22×D5/D10 → C2 ⊆ Out Dic3240Dic3.7(C2^2xD5)480,1085
Dic3.8(C22×D5) = D5×C4○D12φ: C22×D5/D10 → C2 ⊆ Out Dic31204Dic3.8(C2^2xD5)480,1090
Dic3.9(C22×D5) = D20⋊24D6φ: C22×D5/D10 → C2 ⊆ Out Dic31204Dic3.9(C2^2xD5)480,1092
Dic3.10(C22×D5) = D20⋊25D6φ: C22×D5/D10 → C2 ⊆ Out Dic31204Dic3.10(C2^2xD5)480,1093
Dic3.11(C22×D5) = D20⋊29D6φ: C22×D5/D10 → C2 ⊆ Out Dic31204+Dic3.11(C2^2xD5)480,1095
Dic3.12(C22×D5) = D5×D4⋊2S3φ: C22×D5/D10 → C2 ⊆ Out Dic31208-Dic3.12(C2^2xD5)480,1098
Dic3.13(C22×D5) = S3×D4⋊2D5φ: C22×D5/D10 → C2 ⊆ Out Dic31208-Dic3.13(C2^2xD5)480,1099
Dic3.14(C22×D5) = D30.C23φ: C22×D5/D10 → C2 ⊆ Out Dic31208+Dic3.14(C2^2xD5)480,1100
Dic3.15(C22×D5) = D20⋊13D6φ: C22×D5/D10 → C2 ⊆ Out Dic31208-Dic3.15(C2^2xD5)480,1101
Dic3.16(C22×D5) = D12⋊14D10φ: C22×D5/D10 → C2 ⊆ Out Dic31208+Dic3.16(C2^2xD5)480,1103
Dic3.17(C22×D5) = D20.29D6φ: C22×D5/D10 → C2 ⊆ Out Dic32408-Dic3.17(C2^2xD5)480,1104
Dic3.18(C22×D5) = C30.33C24φ: C22×D5/D10 → C2 ⊆ Out Dic32408+Dic3.18(C2^2xD5)480,1105
Dic3.19(C22×D5) = S3×Q8×D5φ: C22×D5/D10 → C2 ⊆ Out Dic31208-Dic3.19(C2^2xD5)480,1107
Dic3.20(C22×D5) = S3×Q8⋊2D5φ: C22×D5/D10 → C2 ⊆ Out Dic31208+Dic3.20(C2^2xD5)480,1109
Dic3.21(C22×D5) = C2×C30.C23φ: C22×D5/D10 → C2 ⊆ Out Dic3240Dic3.21(C2^2xD5)480,1114
Dic3.22(C22×D5) = C2×Dic3.D10φ: C22×D5/D10 → C2 ⊆ Out Dic3240Dic3.22(C2^2xD5)480,1116
Dic3.23(C22×D5) = C15⋊2+ 1+4φ: C22×D5/D10 → C2 ⊆ Out Dic31204Dic3.23(C2^2xD5)480,1125
Dic3.24(C22×D5) = C2×S3×Dic10φ: C22×D5/C2×C10 → C2 ⊆ Out Dic3240Dic3.24(C2^2xD5)480,1078
Dic3.25(C22×D5) = C2×D6.D10φ: C22×D5/C2×C10 → C2 ⊆ Out Dic3240Dic3.25(C2^2xD5)480,1083
Dic3.26(C22×D5) = C15⋊2- 1+4φ: C22×D5/C2×C10 → C2 ⊆ Out Dic32408-Dic3.26(C2^2xD5)480,1096
Dic3.27(C22×D5) = D20⋊14D6φ: C22×D5/C2×C10 → C2 ⊆ Out Dic31208+Dic3.27(C2^2xD5)480,1102
Dic3.28(C22×D5) = D12.29D10φ: C22×D5/C2×C10 → C2 ⊆ Out Dic32408-Dic3.28(C2^2xD5)480,1106
Dic3.29(C22×D5) = D20⋊17D6φ: C22×D5/C2×C10 → C2 ⊆ Out Dic31208+Dic3.29(C2^2xD5)480,1111
Dic3.30(C22×D5) = C2×Dic5.D6φ: C22×D5/C2×C10 → C2 ⊆ Out Dic3240Dic3.30(C2^2xD5)480,1113
Dic3.31(C22×D5) = C22×C15⋊Q8φ: C22×D5/C2×C10 → C2 ⊆ Out Dic3480Dic3.31(C2^2xD5)480,1121
Dic3.32(C22×D5) = C2×D20⋊5S3φ: trivial image240Dic3.32(C2^2xD5)480,1074
Dic3.33(C22×D5) = C2×D60⋊C2φ: trivial image240Dic3.33(C2^2xD5)480,1081
Dic3.34(C22×D5) = S3×C4○D20φ: trivial image1204Dic3.34(C2^2xD5)480,1091
Dic3.35(C22×D5) = D5×Q8⋊3S3φ: trivial image1208+Dic3.35(C2^2xD5)480,1108
Dic3.36(C22×D5) = D20⋊16D6φ: trivial image1208-Dic3.36(C2^2xD5)480,1110

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