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Extensions 1→N→G→Q→1 with N=D6 and Q=C5⋊D4

Direct product G=N×Q with N=D6 and Q=C5⋊D4
dρLabelID
C2×S3×C5⋊D4120C2xS3xC5:D4480,1123

Semidirect products G=N:Q with N=D6 and Q=C5⋊D4
extensionφ:Q→Out NdρLabelID
D6⋊1(C5⋊D4) = Dic5⋊D12φ: C5⋊D4/Dic5 → C2 ⊆ Out D6240D6:1(C5:D4)480,492
D6⋊2(C5⋊D4) = Dic15⋊2D4φ: C5⋊D4/Dic5 → C2 ⊆ Out D6240D6:2(C5:D4)480,529
D6⋊3(C5⋊D4) = Dic15⋊4D4φ: C5⋊D4/Dic5 → C2 ⊆ Out D6240D6:3(C5:D4)480,634
D6⋊4(C5⋊D4) = (S3×C10)⋊D4φ: C5⋊D4/Dic5 → C2 ⊆ Out D6240D6:4(C5:D4)480,641
D6⋊5(C5⋊D4) = D30⋊4D4φ: C5⋊D4/D10 → C2 ⊆ Out D6120D6:5(C5:D4)480,551
D6⋊6(C5⋊D4) = D30⋊8D4φ: C5⋊D4/D10 → C2 ⊆ Out D6120D6:6(C5:D4)480,653
D6⋊7(C5⋊D4) = C15⋊C22≀C2φ: C5⋊D4/C2×C10 → C2 ⊆ Out D6120D6:7(C5:D4)480,644
D6⋊8(C5⋊D4) = (C2×C10)⋊11D12φ: C5⋊D4/C2×C10 → C2 ⊆ Out D6120D6:8(C5:D4)480,646

Non-split extensions G=N.Q with N=D6 and Q=C5⋊D4
extensionφ:Q→Out NdρLabelID
D6.1(C5⋊D4) = D20.24D6φ: C5⋊D4/Dic5 → C2 ⊆ Out D62408-D6.1(C5:D4)480,569
D6.2(C5⋊D4) = C60.19C23φ: C5⋊D4/Dic5 → C2 ⊆ Out D62408+D6.2(C5:D4)480,571
D6.3(C5⋊D4) = D20.27D6φ: C5⋊D4/Dic5 → C2 ⊆ Out D62408-D6.3(C5:D4)480,593
D6.4(C5⋊D4) = Dic10.27D6φ: C5⋊D4/Dic5 → C2 ⊆ Out D62408+D6.4(C5:D4)480,595
D6.5(C5⋊D4) = (C2×D12).D5φ: C5⋊D4/D10 → C2 ⊆ Out D6240D6.5(C5:D4)480,499
D6.6(C5⋊D4) = D60.C22φ: C5⋊D4/D10 → C2 ⊆ Out D61208+D6.6(C5:D4)480,556
D6.7(C5⋊D4) = C60.10C23φ: C5⋊D4/D10 → C2 ⊆ Out D62408-D6.7(C5:D4)480,562
D6.8(C5⋊D4) = D12⋊D10φ: C5⋊D4/D10 → C2 ⊆ Out D61208+D6.8(C5:D4)480,580
D6.9(C5⋊D4) = Dic10.26D6φ: C5⋊D4/D10 → C2 ⊆ Out D62408-D6.9(C5:D4)480,586
D6.10(C5⋊D4) = (S3×C10).D4φ: C5⋊D4/D10 → C2 ⊆ Out D6240D6.10(C5:D4)480,631
D6.11(C5⋊D4) = D6⋊Dic5⋊C2φ: C5⋊D4/C2×C10 → C2 ⊆ Out D6240D6.11(C5:D4)480,427
D6.12(C5⋊D4) = D10⋊C4⋊S3φ: C5⋊D4/C2×C10 → C2 ⊆ Out D6240D6.12(C5:D4)480,528
D6.13(C5⋊D4) = D20⋊10D6φ: C5⋊D4/C2×C10 → C2 ⊆ Out D61208-D6.13(C5:D4)480,570
D6.14(C5⋊D4) = D12.9D10φ: C5⋊D4/C2×C10 → C2 ⊆ Out D61208+D6.14(C5:D4)480,572
D6.15(C5⋊D4) = D20.28D6φ: C5⋊D4/C2×C10 → C2 ⊆ Out D62408-D6.15(C5:D4)480,594
D6.16(C5⋊D4) = C60.44C23φ: C5⋊D4/C2×C10 → C2 ⊆ Out D62408+D6.16(C5:D4)480,596
D6.17(C5⋊D4) = S3×C10.D4φ: trivial image240D6.17(C5:D4)480,475
D6.18(C5⋊D4) = S3×D10⋊C4φ: trivial image120D6.18(C5:D4)480,548
D6.19(C5⋊D4) = S3×D4⋊D5φ: trivial image1208+D6.19(C5:D4)480,555
D6.20(C5⋊D4) = S3×D4.D5φ: trivial image1208-D6.20(C5:D4)480,561
D6.21(C5⋊D4) = S3×Q8⋊D5φ: trivial image1208+D6.21(C5:D4)480,579
D6.22(C5⋊D4) = S3×C5⋊Q16φ: trivial image2408-D6.22(C5:D4)480,585
D6.23(C5⋊D4) = S3×C23.D5φ: trivial image120D6.23(C5:D4)480,630

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