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Extensions 1→N→G→Q→1 with N=D6 and Q=C22×D5

Direct product G=N×Q with N=D6 and Q=C22×D5
dρLabelID
S3×C23×D5120S3xC2^3xD5480,1207

Semidirect products G=N:Q with N=D6 and Q=C22×D5
extensionφ:Q→Out NdρLabelID
D6⋊1(C22×D5) = C2×D5×D12φ: C22×D5/D10 → C2 ⊆ Out D6120D6:1(C2^2xD5)480,1087
D6⋊2(C22×D5) = C2×C20⋊D6φ: C22×D5/D10 → C2 ⊆ Out D6120D6:2(C2^2xD5)480,1089
D6⋊3(C22×D5) = S3×D4×D5φ: C22×D5/D10 → C2 ⊆ Out D6608+D6:3(C2^2xD5)480,1097
D6⋊4(C22×D5) = C2×D5×C3⋊D4φ: C22×D5/D10 → C2 ⊆ Out D6120D6:4(C2^2xD5)480,1122
D6⋊5(C22×D5) = C2×D10⋊D6φ: C22×D5/D10 → C2 ⊆ Out D6120D6:5(C2^2xD5)480,1124
D6⋊6(C22×D5) = C22×C15⋊D4φ: C22×D5/C2×C10 → C2 ⊆ Out D6240D6:6(C2^2xD5)480,1118
D6⋊7(C22×D5) = C22×C5⋊D12φ: C22×D5/C2×C10 → C2 ⊆ Out D6240D6:7(C2^2xD5)480,1120
D6⋊8(C22×D5) = C2×S3×C5⋊D4φ: C22×D5/C2×C10 → C2 ⊆ Out D6120D6:8(C2^2xD5)480,1123

Non-split extensions G=N.Q with N=D6 and Q=C22×D5
extensionφ:Q→Out NdρLabelID
D6.1(C22×D5) = D20.39D6φ: C22×D5/D10 → C2 ⊆ Out D62404-D6.1(C2^2xD5)480,1077
D6.2(C22×D5) = C2×D12⋊D5φ: C22×D5/D10 → C2 ⊆ Out D6240D6.2(C2^2xD5)480,1079
D6.3(C22×D5) = C30.C24φ: C22×D5/D10 → C2 ⊆ Out D62404D6.3(C2^2xD5)480,1080
D6.4(C22×D5) = C2×D12⋊5D5φ: C22×D5/D10 → C2 ⊆ Out D6240D6.4(C2^2xD5)480,1084
D6.5(C22×D5) = D5×C4○D12φ: C22×D5/D10 → C2 ⊆ Out D61204D6.5(C2^2xD5)480,1090
D6.6(C22×D5) = D20⋊24D6φ: C22×D5/D10 → C2 ⊆ Out D61204D6.6(C2^2xD5)480,1092
D6.7(C22×D5) = D20⋊25D6φ: C22×D5/D10 → C2 ⊆ Out D61204D6.7(C2^2xD5)480,1093
D6.8(C22×D5) = D20⋊26D6φ: C22×D5/D10 → C2 ⊆ Out D61204D6.8(C2^2xD5)480,1094
D6.9(C22×D5) = D20⋊29D6φ: C22×D5/D10 → C2 ⊆ Out D61204+D6.9(C2^2xD5)480,1095
D6.10(C22×D5) = C15⋊2- 1+4φ: C22×D5/D10 → C2 ⊆ Out D62408-D6.10(C2^2xD5)480,1096
D6.11(C22×D5) = D5×D4⋊2S3φ: C22×D5/D10 → C2 ⊆ Out D61208-D6.11(C2^2xD5)480,1098
D6.12(C22×D5) = S3×D4⋊2D5φ: C22×D5/D10 → C2 ⊆ Out D61208-D6.12(C2^2xD5)480,1099
D6.13(C22×D5) = D30.C23φ: C22×D5/D10 → C2 ⊆ Out D61208+D6.13(C2^2xD5)480,1100
D6.14(C22×D5) = D20⋊14D6φ: C22×D5/D10 → C2 ⊆ Out D61208+D6.14(C2^2xD5)480,1102
D6.15(C22×D5) = D12.29D10φ: C22×D5/D10 → C2 ⊆ Out D62408-D6.15(C2^2xD5)480,1106
D6.16(C22×D5) = D5×Q8⋊3S3φ: C22×D5/D10 → C2 ⊆ Out D61208+D6.16(C2^2xD5)480,1108
D6.17(C22×D5) = D20⋊16D6φ: C22×D5/D10 → C2 ⊆ Out D61208-D6.17(C2^2xD5)480,1110
D6.18(C22×D5) = D20⋊17D6φ: C22×D5/D10 → C2 ⊆ Out D61208+D6.18(C2^2xD5)480,1111
D6.19(C22×D5) = C2×C30.C23φ: C22×D5/D10 → C2 ⊆ Out D6240D6.19(C2^2xD5)480,1114
D6.20(C22×D5) = C2×Dic3.D10φ: C22×D5/D10 → C2 ⊆ Out D6240D6.20(C2^2xD5)480,1116
D6.21(C22×D5) = C15⋊2+ 1+4φ: C22×D5/D10 → C2 ⊆ Out D61204D6.21(C2^2xD5)480,1125
D6.22(C22×D5) = C2×D20⋊5S3φ: C22×D5/C2×C10 → C2 ⊆ Out D6240D6.22(C2^2xD5)480,1074
D6.23(C22×D5) = C2×D60⋊C2φ: C22×D5/C2×C10 → C2 ⊆ Out D6240D6.23(C2^2xD5)480,1081
D6.24(C22×D5) = C2×D6.D10φ: C22×D5/C2×C10 → C2 ⊆ Out D6240D6.24(C2^2xD5)480,1083
D6.25(C22×D5) = S3×C4○D20φ: C22×D5/C2×C10 → C2 ⊆ Out D61204D6.25(C2^2xD5)480,1091
D6.26(C22×D5) = D20⋊13D6φ: C22×D5/C2×C10 → C2 ⊆ Out D61208-D6.26(C2^2xD5)480,1101
D6.27(C22×D5) = D12⋊14D10φ: C22×D5/C2×C10 → C2 ⊆ Out D61208+D6.27(C2^2xD5)480,1103
D6.28(C22×D5) = D20.29D6φ: C22×D5/C2×C10 → C2 ⊆ Out D62408-D6.28(C2^2xD5)480,1104
D6.29(C22×D5) = C30.33C24φ: C22×D5/C2×C10 → C2 ⊆ Out D62408+D6.29(C2^2xD5)480,1105
D6.30(C22×D5) = C2×S3×Dic10φ: trivial image240D6.30(C2^2xD5)480,1078
D6.31(C22×D5) = S3×C2×C4×D5φ: trivial image120D6.31(C2^2xD5)480,1086
D6.32(C22×D5) = C2×S3×D20φ: trivial image120D6.32(C2^2xD5)480,1088
D6.33(C22×D5) = S3×Q8×D5φ: trivial image1208-D6.33(C2^2xD5)480,1107
D6.34(C22×D5) = S3×Q8⋊2D5φ: trivial image1208+D6.34(C2^2xD5)480,1109
D6.35(C22×D5) = C22×S3×Dic5φ: trivial image240D6.35(C2^2xD5)480,1115

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