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Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=C2×C10

Direct product G=N×Q with N=C22⋊C4 and Q=C2×C10
dρLabelID
C22⋊C4×C2×C10160C2^2:C4xC2xC10320,1514

Semidirect products G=N:Q with N=C22⋊C4 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
C22⋊C4⋊1(C2×C10) = C5×C2≀C22φ: C2×C10/C5 → C22 ⊆ Out C22⋊C4404C2^2:C4:1(C2xC10)320,958
C22⋊C4⋊2(C2×C10) = C5×C23.7D4φ: C2×C10/C5 → C22 ⊆ Out C22⋊C4804C2^2:C4:2(C2xC10)320,959
C22⋊C4⋊3(C2×C10) = C5×C23⋊3D4φ: C2×C10/C5 → C22 ⊆ Out C22⋊C480C2^2:C4:3(C2xC10)320,1536
C22⋊C4⋊4(C2×C10) = C5×C22.29C24φ: C2×C10/C5 → C22 ⊆ Out C22⋊C480C2^2:C4:4(C2xC10)320,1537
C22⋊C4⋊5(C2×C10) = C5×D42φ: C2×C10/C5 → C22 ⊆ Out C22⋊C480C2^2:C4:5(C2xC10)320,1547
C22⋊C4⋊6(C2×C10) = C5×C22.45C24φ: C2×C10/C5 → C22 ⊆ Out C22⋊C480C2^2:C4:6(C2xC10)320,1553
C22⋊C4⋊7(C2×C10) = C5×C22.54C24φ: C2×C10/C5 → C22 ⊆ Out C22⋊C480C2^2:C4:7(C2xC10)320,1562
C22⋊C4⋊8(C2×C10) = C5×C24⋊C22φ: C2×C10/C5 → C22 ⊆ Out C22⋊C480C2^2:C4:8(C2xC10)320,1563
C22⋊C4⋊9(C2×C10) = C10×C23⋊C4φ: C2×C10/C10 → C2 ⊆ Out C22⋊C480C2^2:C4:9(C2xC10)320,910
C22⋊C4⋊10(C2×C10) = C10×C22≀C2φ: C2×C10/C10 → C2 ⊆ Out C22⋊C480C2^2:C4:10(C2xC10)320,1523
C22⋊C4⋊11(C2×C10) = C10×C4⋊D4φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4:11(C2xC10)320,1524
C22⋊C4⋊12(C2×C10) = C10×C22.D4φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4:12(C2xC10)320,1526
C22⋊C4⋊13(C2×C10) = C5×C22.19C24φ: C2×C10/C10 → C2 ⊆ Out C22⋊C480C2^2:C4:13(C2xC10)320,1527
C22⋊C4⋊14(C2×C10) = C10×C4.4D4φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4:14(C2xC10)320,1528
C22⋊C4⋊15(C2×C10) = C5×C22.32C24φ: C2×C10/C10 → C2 ⊆ Out C22⋊C480C2^2:C4:15(C2xC10)320,1540
C22⋊C4⋊16(C2×C10) = C5×D4⋊5D4φ: C2×C10/C10 → C2 ⊆ Out C22⋊C480C2^2:C4:16(C2xC10)320,1548
C22⋊C4⋊17(C2×C10) = D4×C2×C20φ: trivial image160C2^2:C4:17(C2xC10)320,1517
C22⋊C4⋊18(C2×C10) = C5×C22.11C24φ: trivial image80C2^2:C4:18(C2xC10)320,1520

Non-split extensions G=N.Q with N=C22⋊C4 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
C22⋊C4.1(C2×C10) = C5×C23.38C23φ: C2×C10/C5 → C22 ⊆ Out C22⋊C4160C2^2:C4.1(C2xC10)320,1538
C22⋊C4.2(C2×C10) = C5×C22.31C24φ: C2×C10/C5 → C22 ⊆ Out C22⋊C4160C2^2:C4.2(C2xC10)320,1539
C22⋊C4.3(C2×C10) = C5×C22.35C24φ: C2×C10/C5 → C22 ⊆ Out C22⋊C4160C2^2:C4.3(C2xC10)320,1543
C22⋊C4.4(C2×C10) = C5×C22.36C24φ: C2×C10/C5 → C22 ⊆ Out C22⋊C4160C2^2:C4.4(C2xC10)320,1544
C22⋊C4.5(C2×C10) = C5×D4⋊6D4φ: C2×C10/C5 → C22 ⊆ Out C22⋊C4160C2^2:C4.5(C2xC10)320,1549
C22⋊C4.6(C2×C10) = C5×C22.50C24φ: C2×C10/C5 → C22 ⊆ Out C22⋊C4160C2^2:C4.6(C2xC10)320,1558
C22⋊C4.7(C2×C10) = C5×C22.56C24φ: C2×C10/C5 → C22 ⊆ Out C22⋊C4160C2^2:C4.7(C2xC10)320,1564
C22⋊C4.8(C2×C10) = C5×C22.57C24φ: C2×C10/C5 → C22 ⊆ Out C22⋊C4160C2^2:C4.8(C2xC10)320,1565
C22⋊C4.9(C2×C10) = C5×C23.C23φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4804C2^2:C4.9(C2xC10)320,911
C22⋊C4.10(C2×C10) = C10×C22⋊Q8φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.10(C2xC10)320,1525
C22⋊C4.11(C2×C10) = C10×C42⋊2C2φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.11(C2xC10)320,1530
C22⋊C4.12(C2×C10) = C5×C23.36C23φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.12(C2xC10)320,1531
C22⋊C4.13(C2×C10) = C5×C22.26C24φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.13(C2xC10)320,1534
C22⋊C4.14(C2×C10) = C5×C23.37C23φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.14(C2xC10)320,1535
C22⋊C4.15(C2×C10) = C5×C22.33C24φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.15(C2xC10)320,1541
C22⋊C4.16(C2×C10) = C5×C22.34C24φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.16(C2xC10)320,1542
C22⋊C4.17(C2×C10) = C5×C23⋊2Q8φ: C2×C10/C10 → C2 ⊆ Out C22⋊C480C2^2:C4.17(C2xC10)320,1545
C22⋊C4.18(C2×C10) = C5×C23.41C23φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.18(C2xC10)320,1546
C22⋊C4.19(C2×C10) = C5×Q8⋊5D4φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.19(C2xC10)320,1550
C22⋊C4.20(C2×C10) = C5×D4×Q8φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.20(C2xC10)320,1551
C22⋊C4.21(C2×C10) = C5×Q8⋊6D4φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.21(C2xC10)320,1552
C22⋊C4.22(C2×C10) = C5×C22.46C24φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.22(C2xC10)320,1554
C22⋊C4.23(C2×C10) = C5×C22.47C24φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.23(C2xC10)320,1555
C22⋊C4.24(C2×C10) = C5×D4⋊3Q8φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.24(C2xC10)320,1556
C22⋊C4.25(C2×C10) = C5×C22.49C24φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.25(C2xC10)320,1557
C22⋊C4.26(C2×C10) = C5×C22.53C24φ: C2×C10/C10 → C2 ⊆ Out C22⋊C4160C2^2:C4.26(C2xC10)320,1561
C22⋊C4.27(C2×C10) = C10×C42⋊C2φ: trivial image160C2^2:C4.27(C2xC10)320,1516
C22⋊C4.28(C2×C10) = C4○D4×C20φ: trivial image160C2^2:C4.28(C2xC10)320,1519
C22⋊C4.29(C2×C10) = C5×C23.32C23φ: trivial image160C2^2:C4.29(C2xC10)320,1521
C22⋊C4.30(C2×C10) = C5×C23.33C23φ: trivial image160C2^2:C4.30(C2xC10)320,1522

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