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Extensions 1→N→G→Q→1 with N=C10 and Q=C4⋊1D4

Direct product G=N×Q with N=C10 and Q=C4⋊1D4
dρLabelID
C10×C4⋊1D4160C10xC4:1D4320,1532

Semidirect products G=N:Q with N=C10 and Q=C4⋊1D4
extensionφ:Q→Aut NdρLabelID
C10⋊1(C4⋊1D4) = C2×C20⋊4D4φ: C4⋊1D4/C42 → C2 ⊆ Aut C10160C10:1(C4:1D4)320,1147
C10⋊2(C4⋊1D4) = C2×C20⋊D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10:2(C4:1D4)320,1475

Non-split extensions G=N.Q with N=C10 and Q=C4⋊1D4
extensionφ:Q→Aut NdρLabelID
C10.1(C4⋊1D4) = (C2×C20)⋊5D4φ: C4⋊1D4/C42 → C2 ⊆ Aut C10160C10.1(C4:1D4)320,298
C10.2(C4⋊1D4) = (C2×C20).33D4φ: C4⋊1D4/C42 → C2 ⊆ Aut C10160C10.2(C4:1D4)320,304
C10.3(C4⋊1D4) = C8⋊5D20φ: C4⋊1D4/C42 → C2 ⊆ Aut C10160C10.3(C4:1D4)320,320
C10.4(C4⋊1D4) = C20⋊4D8φ: C4⋊1D4/C42 → C2 ⊆ Aut C10160C10.4(C4:1D4)320,322
C10.5(C4⋊1D4) = C8.8D20φ: C4⋊1D4/C42 → C2 ⊆ Aut C10160C10.5(C4:1D4)320,323
C10.6(C4⋊1D4) = C20⋊4Q16φ: C4⋊1D4/C42 → C2 ⊆ Aut C10320C10.6(C4:1D4)320,326
C10.7(C4⋊1D4) = C8⋊D20φ: C4⋊1D4/C42 → C2 ⊆ Aut C10160C10.7(C4:1D4)320,339
C10.8(C4⋊1D4) = C8.D20φ: C4⋊1D4/C42 → C2 ⊆ Aut C10160C10.8(C4:1D4)320,342
C10.9(C4⋊1D4) = C42⋊8Dic5φ: C4⋊1D4/C42 → C2 ⊆ Aut C10320C10.9(C4:1D4)320,562
C10.10(C4⋊1D4) = (C2×C4)⋊6D20φ: C4⋊1D4/C42 → C2 ⊆ Aut C10160C10.10(C4:1D4)320,566
C10.11(C4⋊1D4) = C24.7D10φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.11(C4:1D4)320,576
C10.12(C4⋊1D4) = C24.13D10φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.12(C4:1D4)320,584
C10.13(C4⋊1D4) = C23⋊2D20φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.13(C4:1D4)320,587
C10.14(C4⋊1D4) = C20⋊5(C4⋊C4)φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10320C10.14(C4:1D4)320,603
C10.15(C4⋊1D4) = (C2×D20)⋊22C4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.15(C4:1D4)320,615
C10.16(C4⋊1D4) = (C2×C20).289D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.16(C4:1D4)320,619
C10.17(C4⋊1D4) = C42.64D10φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.17(C4:1D4)320,685
C10.18(C4⋊1D4) = C42.214D10φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.18(C4:1D4)320,686
C10.19(C4⋊1D4) = C42.65D10φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.19(C4:1D4)320,687
C10.20(C4⋊1D4) = C20⋊D8φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.20(C4:1D4)320,700
C10.21(C4⋊1D4) = C42.74D10φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.21(C4:1D4)320,701
C10.22(C4⋊1D4) = C20⋊4SD16φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.22(C4:1D4)320,703
C10.23(C4⋊1D4) = C20⋊6SD16φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.23(C4:1D4)320,712
C10.24(C4⋊1D4) = C42.80D10φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.24(C4:1D4)320,713
C10.25(C4⋊1D4) = C20⋊3Q16φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10320C10.25(C4:1D4)320,719
C10.26(C4⋊1D4) = C40⋊5D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.26(C4:1D4)320,778
C10.27(C4⋊1D4) = C40⋊11D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.27(C4:1D4)320,781
C10.28(C4⋊1D4) = C40.22D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.28(C4:1D4)320,782
C10.29(C4⋊1D4) = C40.31D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.29(C4:1D4)320,794
C10.30(C4⋊1D4) = C40.43D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.30(C4:1D4)320,795
C10.31(C4⋊1D4) = C40⋊15D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.31(C4:1D4)320,802
C10.32(C4⋊1D4) = C40⋊9D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.32(C4:1D4)320,803
C10.33(C4⋊1D4) = C40.26D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10320C10.33(C4:1D4)320,808
C10.34(C4⋊1D4) = C40.37D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.34(C4:1D4)320,817
C10.35(C4⋊1D4) = C40.28D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.35(C4:1D4)320,818
C10.36(C4⋊1D4) = C24.19D10φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.36(C4:1D4)320,848
C10.37(C4⋊1D4) = C24.21D10φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C10160C10.37(C4:1D4)320,850
C10.38(C4⋊1D4) = C5×C42⋊9C4central extension (φ=1)320C10.38(C4:1D4)320,885
C10.39(C4⋊1D4) = C5×C24.3C22central extension (φ=1)160C10.39(C4:1D4)320,891
C10.40(C4⋊1D4) = C5×C23⋊2D4central extension (φ=1)160C10.40(C4:1D4)320,893
C10.41(C4⋊1D4) = C5×C23.4Q8central extension (φ=1)160C10.41(C4:1D4)320,900
C10.42(C4⋊1D4) = C5×C8⋊5D4central extension (φ=1)160C10.42(C4:1D4)320,993
C10.43(C4⋊1D4) = C5×C8⋊4D4central extension (φ=1)160C10.43(C4:1D4)320,994
C10.44(C4⋊1D4) = C5×C4⋊Q16central extension (φ=1)320C10.44(C4:1D4)320,995
C10.45(C4⋊1D4) = C5×C8.12D4central extension (φ=1)160C10.45(C4:1D4)320,996
C10.46(C4⋊1D4) = C5×C8⋊3D4central extension (φ=1)160C10.46(C4:1D4)320,997
C10.47(C4⋊1D4) = C5×C8.2D4central extension (φ=1)160C10.47(C4:1D4)320,998

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