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Extensions 1→N→G→Q→1 with N=D10 and Q=C2×Dic3

Direct product G=N×Q with N=D10 and Q=C2×Dic3
dρLabelID
C22×D5×Dic3240C2^2xD5xDic3480,1112

Semidirect products G=N:Q with N=D10 and Q=C2×Dic3
extensionφ:Q→Out NdρLabelID
D10⋊(C2×Dic3) = D4×C3⋊F5φ: C2×Dic3/C6 → C22 ⊆ Out D10608D10:(C2xDic3)480,1067
D10⋊2(C2×Dic3) = Dic3×D20φ: C2×Dic3/Dic3 → C2 ⊆ Out D10240D10:2(C2xDic3)480,501
D10⋊3(C2×Dic3) = D20⋊8Dic3φ: C2×Dic3/Dic3 → C2 ⊆ Out D10240D10:3(C2xDic3)480,510
D10⋊4(C2×Dic3) = Dic3×C5⋊D4φ: C2×Dic3/Dic3 → C2 ⊆ Out D10240D10:4(C2xDic3)480,629
D10⋊5(C2×Dic3) = Dic15⋊16D4φ: C2×Dic3/Dic3 → C2 ⊆ Out D10240D10:5(C2xDic3)480,635
D10⋊6(C2×Dic3) = C2×D10⋊Dic3φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10240D10:6(C2xDic3)480,611
D10⋊7(C2×Dic3) = D5×C6.D4φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10120D10:7(C2xDic3)480,623
D10⋊8(C2×Dic3) = C2×D10.D6φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10120D10:8(C2xDic3)480,1072
D10⋊9(C2×Dic3) = C23×C3⋊F5φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10120D10:9(C2xDic3)480,1206

Non-split extensions G=N.Q with N=D10 and Q=C2×Dic3
extensionφ:Q→Out NdρLabelID
D10.1(C2×Dic3) = Dic10.Dic3φ: C2×Dic3/C6 → C22 ⊆ Out D102408D10.1(C2xDic3)480,1066
D10.2(C2×Dic3) = D20.Dic3φ: C2×Dic3/C6 → C22 ⊆ Out D102408D10.2(C2xDic3)480,1068
D10.3(C2×Dic3) = D20.3Dic3φ: C2×Dic3/Dic3 → C2 ⊆ Out D102404D10.3(C2xDic3)480,359
D10.4(C2×Dic3) = D20.2Dic3φ: C2×Dic3/Dic3 → C2 ⊆ Out D102404D10.4(C2xDic3)480,360
D10.5(C2×Dic3) = F5×C3⋊C8φ: C2×Dic3/Dic3 → C2 ⊆ Out D101208D10.5(C2xDic3)480,223
D10.6(C2×Dic3) = C30.3C42φ: C2×Dic3/Dic3 → C2 ⊆ Out D101208D10.6(C2xDic3)480,225
D10.7(C2×Dic3) = D10.20D12φ: C2×Dic3/Dic3 → C2 ⊆ Out D10120D10.7(C2xDic3)480,243
D10.8(C2×Dic3) = C2×Dic3×F5φ: C2×Dic3/Dic3 → C2 ⊆ Out D10120D10.8(C2xDic3)480,998
D10.9(C2×Dic3) = C2×C20.32D6φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10240D10.9(C2xDic3)480,369
D10.10(C2×Dic3) = (D5×C12)⋊C4φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10240D10.10(C2xDic3)480,433
D10.11(C2×Dic3) = (C4×D5)⋊Dic3φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10240D10.11(C2xDic3)480,434
D10.12(C2×Dic3) = C2×C60.C4φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10240D10.12(C2xDic3)480,1060
D10.13(C2×Dic3) = C2×C12.F5φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10240D10.13(C2xDic3)480,1061
D10.14(C2×Dic3) = C60.59(C2×C4)φ: C2×Dic3/C2×C6 → C2 ⊆ Out D101204D10.14(C2xDic3)480,1062
D10.15(C2×Dic3) = C2×C4×C3⋊F5φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10120D10.15(C2xDic3)480,1063
D10.16(C2×Dic3) = C2×C60⋊C4φ: C2×Dic3/C2×C6 → C2 ⊆ Out D10120D10.16(C2xDic3)480,1064
D10.17(C2×Dic3) = (C2×C12)⋊6F5φ: C2×Dic3/C2×C6 → C2 ⊆ Out D101204D10.17(C2xDic3)480,1065
D10.18(C2×Dic3) = C2×D5×C3⋊C8φ: trivial image240D10.18(C2xDic3)480,357
D10.19(C2×Dic3) = D5×C4.Dic3φ: trivial image1204D10.19(C2xDic3)480,358
D10.20(C2×Dic3) = C4×D5×Dic3φ: trivial image240D10.20(C2xDic3)480,467
D10.21(C2×Dic3) = D5×C4⋊Dic3φ: trivial image240D10.21(C2xDic3)480,488

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