# Extensions 1→N→G→Q→1 with N=D10 and Q=C22×S3

Direct product G=N×Q with N=D10 and Q=C22×S3
dρLabelID
S3×C23×D5120S3xC2^3xD5480,1207

Semidirect products G=N:Q with N=D10 and Q=C22×S3
extensionφ:Q→Out NdρLabelID
D101(C22×S3) = C2×S3×D20φ: C22×S3/D6C2 ⊆ Out D10120D10:1(C2^2xS3)480,1088
D102(C22×S3) = C2×C20⋊D6φ: C22×S3/D6C2 ⊆ Out D10120D10:2(C2^2xS3)480,1089
D103(C22×S3) = S3×D4×D5φ: C22×S3/D6C2 ⊆ Out D10608+D10:3(C2^2xS3)480,1097
D104(C22×S3) = C2×S3×C5⋊D4φ: C22×S3/D6C2 ⊆ Out D10120D10:4(C2^2xS3)480,1123
D105(C22×S3) = C2×D10⋊D6φ: C22×S3/D6C2 ⊆ Out D10120D10:5(C2^2xS3)480,1124
D106(C22×S3) = C22×C15⋊D4φ: C22×S3/C2×C6C2 ⊆ Out D10240D10:6(C2^2xS3)480,1118
D107(C22×S3) = C22×C3⋊D20φ: C22×S3/C2×C6C2 ⊆ Out D10240D10:7(C2^2xS3)480,1119
D108(C22×S3) = C2×D5×C3⋊D4φ: C22×S3/C2×C6C2 ⊆ Out D10120D10:8(C2^2xS3)480,1122

Non-split extensions G=N.Q with N=D10 and Q=C22×S3
extensionφ:Q→Out NdρLabelID
D10.1(C22×S3) = C2×D205S3φ: C22×S3/D6C2 ⊆ Out D10240D10.1(C2^2xS3)480,1074
D10.2(C22×S3) = C2×D20⋊S3φ: C22×S3/D6C2 ⊆ Out D10240D10.2(C2^2xS3)480,1075
D10.3(C22×S3) = D20.38D6φ: C22×S3/D6C2 ⊆ Out D102404D10.3(C2^2xS3)480,1076
D10.4(C22×S3) = D20.39D6φ: C22×S3/D6C2 ⊆ Out D102404-D10.4(C2^2xS3)480,1077
D10.5(C22×S3) = S3×C4○D20φ: C22×S3/D6C2 ⊆ Out D101204D10.5(C2^2xS3)480,1091
D10.6(C22×S3) = D2024D6φ: C22×S3/D6C2 ⊆ Out D101204D10.6(C2^2xS3)480,1092
D10.7(C22×S3) = D2025D6φ: C22×S3/D6C2 ⊆ Out D101204D10.7(C2^2xS3)480,1093
D10.8(C22×S3) = D2026D6φ: C22×S3/D6C2 ⊆ Out D101204D10.8(C2^2xS3)480,1094
D10.9(C22×S3) = D2029D6φ: C22×S3/D6C2 ⊆ Out D101204+D10.9(C2^2xS3)480,1095
D10.10(C22×S3) = C15⋊2- 1+4φ: C22×S3/D6C2 ⊆ Out D102408-D10.10(C2^2xS3)480,1096
D10.11(C22×S3) = D5×D42S3φ: C22×S3/D6C2 ⊆ Out D101208-D10.11(C2^2xS3)480,1098
D10.12(C22×S3) = S3×D42D5φ: C22×S3/D6C2 ⊆ Out D101208-D10.12(C2^2xS3)480,1099
D10.13(C22×S3) = D30.C23φ: C22×S3/D6C2 ⊆ Out D101208+D10.13(C2^2xS3)480,1100
D10.14(C22×S3) = D2013D6φ: C22×S3/D6C2 ⊆ Out D101208-D10.14(C2^2xS3)480,1101
D10.15(C22×S3) = D2014D6φ: C22×S3/D6C2 ⊆ Out D101208+D10.15(C2^2xS3)480,1102
D10.16(C22×S3) = D1214D10φ: C22×S3/D6C2 ⊆ Out D101208+D10.16(C2^2xS3)480,1103
D10.17(C22×S3) = D20.29D6φ: C22×S3/D6C2 ⊆ Out D102408-D10.17(C2^2xS3)480,1104
D10.18(C22×S3) = S3×Q82D5φ: C22×S3/D6C2 ⊆ Out D101208+D10.18(C2^2xS3)480,1109
D10.19(C22×S3) = D2016D6φ: C22×S3/D6C2 ⊆ Out D101208-D10.19(C2^2xS3)480,1110
D10.20(C22×S3) = D2017D6φ: C22×S3/D6C2 ⊆ Out D101208+D10.20(C2^2xS3)480,1111
D10.21(C22×S3) = C2×Dic5.D6φ: C22×S3/D6C2 ⊆ Out D10240D10.21(C2^2xS3)480,1113
D10.22(C22×S3) = C2×C30.C23φ: C22×S3/D6C2 ⊆ Out D10240D10.22(C2^2xS3)480,1114
D10.23(C22×S3) = C15⋊2+ 1+4φ: C22×S3/D6C2 ⊆ Out D101204D10.23(C2^2xS3)480,1125
D10.24(C22×S3) = F5×Dic6φ: C22×S3/D6C2 ⊆ Out D101208-D10.24(C2^2xS3)480,982
D10.25(C22×S3) = C4⋊F53S3φ: C22×S3/D6C2 ⊆ Out D101208D10.25(C2^2xS3)480,983
D10.26(C22×S3) = Dic65F5φ: C22×S3/D6C2 ⊆ Out D101208-D10.26(C2^2xS3)480,984
D10.27(C22×S3) = (C4×S3)⋊F5φ: C22×S3/D6C2 ⊆ Out D101208D10.27(C2^2xS3)480,985
D10.28(C22×S3) = C4×S3×F5φ: C22×S3/D6C2 ⊆ Out D10608D10.28(C2^2xS3)480,994
D10.29(C22×S3) = F5×D12φ: C22×S3/D6C2 ⊆ Out D10608+D10.29(C2^2xS3)480,995
D10.30(C22×S3) = S3×C4⋊F5φ: C22×S3/D6C2 ⊆ Out D10608D10.30(C2^2xS3)480,996
D10.31(C22×S3) = D603C4φ: C22×S3/D6C2 ⊆ Out D10608+D10.31(C2^2xS3)480,997
D10.32(C22×S3) = C2×Dic3×F5φ: C22×S3/D6C2 ⊆ Out D10120D10.32(C2^2xS3)480,998
D10.33(C22×S3) = C22⋊F5.S3φ: C22×S3/D6C2 ⊆ Out D101208-D10.33(C2^2xS3)480,999
D10.34(C22×S3) = C2×D6⋊F5φ: C22×S3/D6C2 ⊆ Out D10120D10.34(C2^2xS3)480,1000
D10.35(C22×S3) = C2×Dic3⋊F5φ: C22×S3/D6C2 ⊆ Out D10120D10.35(C2^2xS3)480,1001
D10.36(C22×S3) = F5×C3⋊D4φ: C22×S3/D6C2 ⊆ Out D10608D10.36(C2^2xS3)480,1010
D10.37(C22×S3) = S3×C22⋊F5φ: C22×S3/D6C2 ⊆ Out D10608+D10.37(C2^2xS3)480,1011
D10.38(C22×S3) = C3⋊D4⋊F5φ: C22×S3/D6C2 ⊆ Out D10608D10.38(C2^2xS3)480,1012
D10.39(C22×S3) = C22×S3×F5φ: C22×S3/D6C2 ⊆ Out D1060D10.39(C2^2xS3)480,1197
D10.40(C22×S3) = C2×D6.D10φ: C22×S3/C2×C6C2 ⊆ Out D10240D10.40(C2^2xS3)480,1083
D10.41(C22×S3) = C2×D125D5φ: C22×S3/C2×C6C2 ⊆ Out D10240D10.41(C2^2xS3)480,1084
D10.42(C22×S3) = C2×C12.28D10φ: C22×S3/C2×C6C2 ⊆ Out D10240D10.42(C2^2xS3)480,1085
D10.43(C22×S3) = C30.33C24φ: C22×S3/C2×C6C2 ⊆ Out D102408+D10.43(C2^2xS3)480,1105
D10.44(C22×S3) = D12.29D10φ: C22×S3/C2×C6C2 ⊆ Out D102408-D10.44(C2^2xS3)480,1106
D10.45(C22×S3) = C2×C4×C3⋊F5φ: C22×S3/C2×C6C2 ⊆ Out D10120D10.45(C2^2xS3)480,1063
D10.46(C22×S3) = C2×C60⋊C4φ: C22×S3/C2×C6C2 ⊆ Out D10120D10.46(C2^2xS3)480,1064
D10.47(C22×S3) = (C2×C12)⋊6F5φ: C22×S3/C2×C6C2 ⊆ Out D101204D10.47(C2^2xS3)480,1065
D10.48(C22×S3) = D4×C3⋊F5φ: C22×S3/C2×C6C2 ⊆ Out D10608D10.48(C2^2xS3)480,1067
D10.49(C22×S3) = Q8×C3⋊F5φ: C22×S3/C2×C6C2 ⊆ Out D101208D10.49(C2^2xS3)480,1069
D10.50(C22×S3) = C2×D10.D6φ: C22×S3/C2×C6C2 ⊆ Out D10120D10.50(C2^2xS3)480,1072
D10.51(C22×S3) = C23×C3⋊F5φ: C22×S3/C2×C6C2 ⊆ Out D10120D10.51(C2^2xS3)480,1206
D10.52(C22×S3) = C2×D5×Dic6φ: trivial image240D10.52(C2^2xS3)480,1073
D10.53(C22×S3) = S3×C2×C4×D5φ: trivial image120D10.53(C2^2xS3)480,1086
D10.54(C22×S3) = C2×D5×D12φ: trivial image120D10.54(C2^2xS3)480,1087
D10.55(C22×S3) = D5×C4○D12φ: trivial image1204D10.55(C2^2xS3)480,1090
D10.56(C22×S3) = S3×Q8×D5φ: trivial image1208-D10.56(C2^2xS3)480,1107
D10.57(C22×S3) = D5×Q83S3φ: trivial image1208+D10.57(C2^2xS3)480,1108
D10.58(C22×S3) = C22×D5×Dic3φ: trivial image240D10.58(C2^2xS3)480,1112

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