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Extensions 1→N→G→Q→1 with N=D10 and Q=C4×S3

Direct product G=N×Q with N=D10 and Q=C4×S3
dρLabelID
S3×C2×C4×D5120S3xC2xC4xD5480,1086

Semidirect products G=N:Q with N=D10 and Q=C4×S3
extensionφ:Q→Out NdρLabelID
D10⋊1(C4×S3) = F5×C3⋊D4φ: C4×S3/C6 → C22 ⊆ Out D10608D10:1(C4xS3)480,1010
D10⋊2(C4×S3) = C3⋊D4⋊F5φ: C4×S3/C6 → C22 ⊆ Out D10608D10:2(C4xS3)480,1012
D10⋊3(C4×S3) = Dic3⋊4D20φ: C4×S3/Dic3 → C2 ⊆ Out D10240D10:3(C4xS3)480,471
D10⋊4(C4×S3) = Dic15⋊13D4φ: C4×S3/Dic3 → C2 ⊆ Out D10240D10:4(C4xS3)480,472
D10⋊5(C4×S3) = C15⋊17(C4×D4)φ: C4×S3/Dic3 → C2 ⊆ Out D10240D10:5(C4xS3)480,517
D10⋊6(C4×S3) = Dic15⋊9D4φ: C4×S3/Dic3 → C2 ⊆ Out D10240D10:6(C4xS3)480,518
D10⋊7(C4×S3) = C4×C15⋊D4φ: C4×S3/C12 → C2 ⊆ Out D10240D10:7(C4xS3)480,515
D10⋊8(C4×S3) = D6⋊(C4×D5)φ: C4×S3/C12 → C2 ⊆ Out D10240D10:8(C4xS3)480,516
D10⋊9(C4×S3) = C4×C3⋊D20φ: C4×S3/C12 → C2 ⊆ Out D10240D10:9(C4xS3)480,519
D10⋊10(C4×S3) = C15⋊20(C4×D4)φ: C4×S3/C12 → C2 ⊆ Out D10240D10:10(C4xS3)480,520
D10⋊11(C4×S3) = S3×D10⋊C4φ: C4×S3/D6 → C2 ⊆ Out D10120D10:11(C4xS3)480,548
D10⋊12(C4×S3) = D30.27D4φ: C4×S3/D6 → C2 ⊆ Out D10120D10:12(C4xS3)480,549
D10⋊13(C4×S3) = S3×C22⋊F5φ: C4×S3/D6 → C2 ⊆ Out D10608+D10:13(C4xS3)480,1011
D10⋊14(C4×S3) = C22×S3×F5φ: C4×S3/D6 → C2 ⊆ Out D1060D10:14(C4xS3)480,1197

Non-split extensions G=N.Q with N=D10 and Q=C4×S3
extensionφ:Q→Out NdρLabelID
D10.1(C4×S3) = D12.2F5φ: C4×S3/C6 → C22 ⊆ Out D102408-D10.1(C4xS3)480,987
D10.2(C4×S3) = D12.F5φ: C4×S3/C6 → C22 ⊆ Out D102408-D10.2(C4xS3)480,989
D10.3(C4×S3) = D60.C4φ: C4×S3/C6 → C22 ⊆ Out D102408+D10.3(C4xS3)480,990
D10.4(C4×S3) = Dic6.F5φ: C4×S3/C6 → C22 ⊆ Out D102408+D10.4(C4xS3)480,992
D10.5(C4×S3) = C40.55D6φ: C4×S3/Dic3 → C2 ⊆ Out D102404D10.5(C4xS3)480,343
D10.6(C4×S3) = C40.35D6φ: C4×S3/Dic3 → C2 ⊆ Out D102404D10.6(C4xS3)480,344
D10.7(C4×S3) = C30.C42φ: C4×S3/Dic3 → C2 ⊆ Out D101208D10.7(C4xS3)480,224
D10.8(C4×S3) = C30.4C42φ: C4×S3/Dic3 → C2 ⊆ Out D101208D10.8(C4xS3)480,226
D10.9(C4×S3) = D10.20D12φ: C4×S3/Dic3 → C2 ⊆ Out D10120D10.9(C4xS3)480,243
D10.10(C4×S3) = C40.54D6φ: C4×S3/C12 → C2 ⊆ Out D102404D10.10(C4xS3)480,341
D10.11(C4×S3) = C40.34D6φ: C4×S3/C12 → C2 ⊆ Out D102404D10.11(C4xS3)480,342
D10.12(C4×S3) = C8×C3⋊F5φ: C4×S3/C12 → C2 ⊆ Out D101204D10.12(C4xS3)480,296
D10.13(C4×S3) = C24⋊F5φ: C4×S3/C12 → C2 ⊆ Out D101204D10.13(C4xS3)480,297
D10.14(C4×S3) = D10.10D12φ: C4×S3/C12 → C2 ⊆ Out D10120D10.14(C4xS3)480,311
D10.15(C4×S3) = C2×C4×C3⋊F5φ: C4×S3/C12 → C2 ⊆ Out D10120D10.15(C4xS3)480,1063
D10.16(C4×S3) = S3×C8⋊D5φ: C4×S3/D6 → C2 ⊆ Out D101204D10.16(C4xS3)480,321
D10.17(C4×S3) = C40⋊D6φ: C4×S3/D6 → C2 ⊆ Out D101204D10.17(C4xS3)480,322
D10.18(C4×S3) = (D5×Dic3)⋊C4φ: C4×S3/D6 → C2 ⊆ Out D10240D10.18(C4xS3)480,469
D10.19(C4×S3) = D10.19(C4×S3)φ: C4×S3/D6 → C2 ⊆ Out D10240D10.19(C4xS3)480,470
D10.20(C4×S3) = S3×D5⋊C8φ: C4×S3/D6 → C2 ⊆ Out D101208D10.20(C4xS3)480,986
D10.21(C4×S3) = S3×C4.F5φ: C4×S3/D6 → C2 ⊆ Out D101208D10.21(C4xS3)480,988
D10.22(C4×S3) = D15⋊M4(2)φ: C4×S3/D6 → C2 ⊆ Out D101208D10.22(C4xS3)480,991
D10.23(C4×S3) = C5⋊C8⋊D6φ: C4×S3/D6 → C2 ⊆ Out D101208D10.23(C4xS3)480,993
D10.24(C4×S3) = C2×Dic3×F5φ: C4×S3/D6 → C2 ⊆ Out D10120D10.24(C4xS3)480,998
D10.25(C4×S3) = C22⋊F5.S3φ: C4×S3/D6 → C2 ⊆ Out D101208-D10.25(C4xS3)480,999
D10.26(C4×S3) = C2×D6⋊F5φ: C4×S3/D6 → C2 ⊆ Out D10120D10.26(C4xS3)480,1000
D10.27(C4×S3) = C2×Dic3⋊F5φ: C4×S3/D6 → C2 ⊆ Out D10120D10.27(C4xS3)480,1001
D10.28(C4×S3) = S3×C8×D5φ: trivial image1204D10.28(C4xS3)480,319
D10.29(C4×S3) = D5×C8⋊S3φ: trivial image1204D10.29(C4xS3)480,320
D10.30(C4×S3) = C4×D5×Dic3φ: trivial image240D10.30(C4xS3)480,467
D10.31(C4×S3) = D5×Dic3⋊C4φ: trivial image240D10.31(C4xS3)480,468
D10.32(C4×S3) = D5×D6⋊C4φ: trivial image120D10.32(C4xS3)480,547

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