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Extensions 1→N→G→Q→1 with N=C4 and Q=Q8⋊2D5

Direct product G=N×Q with N=C4 and Q=Q8⋊2D5
dρLabelID
C4×Q8⋊2D5160C4xQ8:2D5320,1245

Semidirect products G=N:Q with N=C4 and Q=Q8⋊2D5
extensionφ:Q→Aut NdρLabelID
C4⋊1(Q8⋊2D5) = C42.240D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4:1(Q8:2D5)320,1397
C4⋊2(Q8⋊2D5) = D20⋊12D4φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4:2(Q8:2D5)320,1398
C4⋊3(Q8⋊2D5) = Q8⋊6D20φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C4160C4:3(Q8:2D5)320,1249

Non-split extensions G=N.Q with N=C4 and Q=Q8⋊2D5
extensionφ:Q→Aut NdρLabelID
C4.1(Q8⋊2D5) = Dic5⋊8SD16φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.1(Q8:2D5)320,479
C4.2(Q8⋊2D5) = Dic20⋊15C4φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4320C4.2(Q8:2D5)320,480
C4.3(Q8⋊2D5) = C8⋊8D20φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.3(Q8:2D5)320,491
C4.4(Q8⋊2D5) = C8⋊2D20φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.4(Q8:2D5)320,492
C4.5(Q8⋊2D5) = C8.2D20φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.5(Q8:2D5)320,495
C4.6(Q8⋊2D5) = D40⋊15C4φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.6(Q8:2D5)320,496
C4.7(Q8⋊2D5) = D40⋊12C4φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.7(Q8:2D5)320,499
C4.8(Q8⋊2D5) = Dic5⋊5Q16φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4320C4.8(Q8:2D5)320,500
C4.9(Q8⋊2D5) = C8⋊7D20φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.9(Q8:2D5)320,510
C4.10(Q8⋊2D5) = C8⋊3D20φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.10(Q8:2D5)320,513
C4.11(Q8⋊2D5) = D10⋊2Q16φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.11(Q8:2D5)320,514
C4.12(Q8⋊2D5) = C40⋊21(C2×C4)φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.12(Q8:2D5)320,516
C4.13(Q8⋊2D5) = C42.70D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.13(Q8:2D5)320,694
C4.14(Q8⋊2D5) = C42.216D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.14(Q8:2D5)320,695
C4.15(Q8⋊2D5) = C42.71D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4320C4.15(Q8:2D5)320,696
C4.16(Q8⋊2D5) = C20.D8φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.16(Q8:2D5)320,715
C4.17(Q8⋊2D5) = C42.82D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.17(Q8:2D5)320,716
C4.18(Q8⋊2D5) = C20.11Q16φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4320C4.18(Q8:2D5)320,720
C4.19(Q8⋊2D5) = C42.237D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.19(Q8:2D5)320,1363
C4.20(Q8⋊2D5) = C42.155D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.20(Q8:2D5)320,1369
C4.21(Q8⋊2D5) = C42.156D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.21(Q8:2D5)320,1370
C4.22(Q8⋊2D5) = C42.241D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.22(Q8:2D5)320,1400
C4.23(Q8⋊2D5) = C42.178D10φ: Q8⋊2D5/C4×D5 → C2 ⊆ Aut C4160C4.23(Q8:2D5)320,1405
C4.24(Q8⋊2D5) = D10.12SD16φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.24(Q8:2D5)320,489
C4.25(Q8⋊2D5) = D10.17SD16φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.25(Q8:2D5)320,490
C4.26(Q8⋊2D5) = C4.Q8⋊D5φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.26(Q8:2D5)320,493
C4.27(Q8⋊2D5) = C20.(C4○D4)φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.27(Q8:2D5)320,494
C4.28(Q8⋊2D5) = D10.13D8φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.28(Q8:2D5)320,509
C4.29(Q8⋊2D5) = D10.8Q16φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.29(Q8:2D5)320,511
C4.30(Q8⋊2D5) = C2.D8⋊D5φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.30(Q8:2D5)320,512
C4.31(Q8⋊2D5) = C2.D8⋊7D5φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.31(Q8:2D5)320,515
C4.32(Q8⋊2D5) = Dic10.4Q8φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4320C4.32(Q8:2D5)320,690
C4.33(Q8⋊2D5) = D20.4Q8φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.33(Q8:2D5)320,693
C4.34(Q8⋊2D5) = D20⋊5Q8φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.34(Q8:2D5)320,711
C4.35(Q8⋊2D5) = D20⋊6Q8φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.35(Q8:2D5)320,714
C4.36(Q8⋊2D5) = Dic10⋊5Q8φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4320C4.36(Q8:2D5)320,718
C4.37(Q8⋊2D5) = Dic10⋊6Q8φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4320C4.37(Q8:2D5)320,721
C4.38(Q8⋊2D5) = C42.152D10φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.38(Q8:2D5)320,1366
C4.39(Q8⋊2D5) = C42.153D10φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.39(Q8:2D5)320,1367
C4.40(Q8⋊2D5) = D20⋊9Q8φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.40(Q8:2D5)320,1402
C4.41(Q8⋊2D5) = C42.177D10φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.41(Q8:2D5)320,1404
C4.42(Q8⋊2D5) = C42.179D10φ: Q8⋊2D5/D20 → C2 ⊆ Aut C4160C4.42(Q8:2D5)320,1406
C4.43(Q8⋊2D5) = C20⋊SD16φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C4160C4.43(Q8:2D5)320,468
C4.44(Q8⋊2D5) = C4⋊D40φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C4160C4.44(Q8:2D5)320,470
C4.45(Q8⋊2D5) = D20.19D4φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C4160C4.45(Q8:2D5)320,471
C4.46(Q8⋊2D5) = C42.36D10φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C4160C4.46(Q8:2D5)320,472
C4.47(Q8⋊2D5) = Dic10⋊8D4φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C4160C4.47(Q8:2D5)320,475
C4.48(Q8⋊2D5) = C4⋊Dic20φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C4320C4.48(Q8:2D5)320,476
C4.49(Q8⋊2D5) = Q8⋊6Dic10φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C4320C4.49(Q8:2D5)320,1242
C4.50(Q8⋊2D5) = C42.135D10φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C4160C4.50(Q8:2D5)320,1256
C4.51(Q8⋊2D5) = C42.136D10φ: Q8⋊2D5/C5×Q8 → C2 ⊆ Aut C4160C4.51(Q8:2D5)320,1257
C4.52(Q8⋊2D5) = C42.200D10central extension (φ=1)160C4.52(Q8:2D5)320,460
C4.53(Q8⋊2D5) = D20⋊5C8central extension (φ=1)160C4.53(Q8:2D5)320,461
C4.54(Q8⋊2D5) = C42.202D10central extension (φ=1)160C4.54(Q8:2D5)320,462
C4.55(Q8⋊2D5) = D10⋊5M4(2)central extension (φ=1)160C4.55(Q8:2D5)320,463
C4.56(Q8⋊2D5) = C20⋊6M4(2)central extension (φ=1)160C4.56(Q8:2D5)320,465
C4.57(Q8⋊2D5) = C42.31D10central extension (φ=1)160C4.57(Q8:2D5)320,467
C4.58(Q8⋊2D5) = Q8×C5⋊2C8central extension (φ=1)320C4.58(Q8:2D5)320,650
C4.59(Q8⋊2D5) = C42.210D10central extension (φ=1)320C4.59(Q8:2D5)320,651
C4.60(Q8⋊2D5) = C42.131D10central extension (φ=1)160C4.60(Q8:2D5)320,1252

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