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Extensions 1→N→G→Q→1 with N=D10 and Q=C2×C12

Direct product G=N×Q with N=D10 and Q=C2×C12
dρLabelID
D5×C22×C12240D5xC2^2xC12480,1136

Semidirect products G=N:Q with N=D10 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
D10⋊(C2×C12) = C3×D4×F5φ: C2×C12/C6 → C22 ⊆ Out D10608D10:(C2xC12)480,1054
D10⋊2(C2×C12) = C12×D20φ: C2×C12/C12 → C2 ⊆ Out D10240D10:2(C2xC12)480,666
D10⋊3(C2×C12) = C3×Dic5⋊4D4φ: C2×C12/C12 → C2 ⊆ Out D10240D10:3(C2xC12)480,674
D10⋊4(C2×C12) = C3×D20⋊8C4φ: C2×C12/C12 → C2 ⊆ Out D10240D10:4(C2xC12)480,686
D10⋊5(C2×C12) = C12×C5⋊D4φ: C2×C12/C12 → C2 ⊆ Out D10240D10:5(C2xC12)480,721
D10⋊6(C2×C12) = C3×D5×C22⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Out D10120D10:6(C2xC12)480,673
D10⋊7(C2×C12) = C6×D10⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Out D10240D10:7(C2xC12)480,720
D10⋊8(C2×C12) = C6×C22⋊F5φ: C2×C12/C2×C6 → C2 ⊆ Out D10120D10:8(C2xC12)480,1059
D10⋊9(C2×C12) = F5×C22×C6φ: C2×C12/C2×C6 → C2 ⊆ Out D10120D10:9(C2xC12)480,1205

Non-split extensions G=N.Q with N=D10 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
D10.1(C2×C12) = C3×D4.F5φ: C2×C12/C6 → C22 ⊆ Out D102408D10.1(C2xC12)480,1053
D10.2(C2×C12) = C3×Q8.F5φ: C2×C12/C6 → C22 ⊆ Out D102408D10.2(C2xC12)480,1055
D10.3(C2×C12) = C3×D20.3C4φ: C2×C12/C12 → C2 ⊆ Out D102402D10.3(C2xC12)480,694
D10.4(C2×C12) = C3×D20.2C4φ: C2×C12/C12 → C2 ⊆ Out D102404D10.4(C2xC12)480,700
D10.5(C2×C12) = F5×C24φ: C2×C12/C12 → C2 ⊆ Out D101204D10.5(C2xC12)480,271
D10.6(C2×C12) = C3×C8⋊F5φ: C2×C12/C12 → C2 ⊆ Out D101204D10.6(C2xC12)480,272
D10.7(C2×C12) = C3×D10.3Q8φ: C2×C12/C12 → C2 ⊆ Out D10120D10.7(C2xC12)480,286
D10.8(C2×C12) = F5×C2×C12φ: C2×C12/C12 → C2 ⊆ Out D10120D10.8(C2xC12)480,1050
D10.9(C2×C12) = C3×C42⋊D5φ: C2×C12/C2×C6 → C2 ⊆ Out D10240D10.9(C2xC12)480,665
D10.10(C2×C12) = C3×C4⋊C4⋊7D5φ: C2×C12/C2×C6 → C2 ⊆ Out D10240D10.10(C2xC12)480,685
D10.11(C2×C12) = C6×C8⋊D5φ: C2×C12/C2×C6 → C2 ⊆ Out D10240D10.11(C2xC12)480,693
D10.12(C2×C12) = C6×D5⋊C8φ: C2×C12/C2×C6 → C2 ⊆ Out D10240D10.12(C2xC12)480,1047
D10.13(C2×C12) = C6×C4.F5φ: C2×C12/C2×C6 → C2 ⊆ Out D10240D10.13(C2xC12)480,1048
D10.14(C2×C12) = C3×D5⋊M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Out D101204D10.14(C2xC12)480,1049
D10.15(C2×C12) = C6×C4⋊F5φ: C2×C12/C2×C6 → C2 ⊆ Out D10120D10.15(C2xC12)480,1051
D10.16(C2×C12) = C3×D10.C23φ: C2×C12/C2×C6 → C2 ⊆ Out D101204D10.16(C2xC12)480,1052
D10.17(C2×C12) = D5×C4×C12φ: trivial image240D10.17(C2xC12)480,664
D10.18(C2×C12) = C3×D5×C4⋊C4φ: trivial image240D10.18(C2xC12)480,684
D10.19(C2×C12) = D5×C2×C24φ: trivial image240D10.19(C2xC12)480,692
D10.20(C2×C12) = C3×D5×M4(2)φ: trivial image1204D10.20(C2xC12)480,699

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