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Extensions 1→N→G→Q→1 with N=C22:C4 and Q=C2xC10

Direct product G=NxQ with N=C22:C4 and Q=C2xC10
dρLabelID
C22:C4xC2xC10160C2^2:C4xC2xC10320,1514

Semidirect products G=N:Q with N=C22:C4 and Q=C2xC10
extensionφ:Q→Out NdρLabelID
C22:C4:1(C2xC10) = C5xC2wrC22φ: C2xC10/C5 → C22 ⊆ Out C22:C4404C2^2:C4:1(C2xC10)320,958
C22:C4:2(C2xC10) = C5xC23.7D4φ: C2xC10/C5 → C22 ⊆ Out C22:C4804C2^2:C4:2(C2xC10)320,959
C22:C4:3(C2xC10) = C5xC23:3D4φ: C2xC10/C5 → C22 ⊆ Out C22:C480C2^2:C4:3(C2xC10)320,1536
C22:C4:4(C2xC10) = C5xC22.29C24φ: C2xC10/C5 → C22 ⊆ Out C22:C480C2^2:C4:4(C2xC10)320,1537
C22:C4:5(C2xC10) = C5xD42φ: C2xC10/C5 → C22 ⊆ Out C22:C480C2^2:C4:5(C2xC10)320,1547
C22:C4:6(C2xC10) = C5xC22.45C24φ: C2xC10/C5 → C22 ⊆ Out C22:C480C2^2:C4:6(C2xC10)320,1553
C22:C4:7(C2xC10) = C5xC22.54C24φ: C2xC10/C5 → C22 ⊆ Out C22:C480C2^2:C4:7(C2xC10)320,1562
C22:C4:8(C2xC10) = C5xC24:C22φ: C2xC10/C5 → C22 ⊆ Out C22:C480C2^2:C4:8(C2xC10)320,1563
C22:C4:9(C2xC10) = C10xC23:C4φ: C2xC10/C10 → C2 ⊆ Out C22:C480C2^2:C4:9(C2xC10)320,910
C22:C4:10(C2xC10) = C10xC22wrC2φ: C2xC10/C10 → C2 ⊆ Out C22:C480C2^2:C4:10(C2xC10)320,1523
C22:C4:11(C2xC10) = C10xC4:D4φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4:11(C2xC10)320,1524
C22:C4:12(C2xC10) = C10xC22.D4φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4:12(C2xC10)320,1526
C22:C4:13(C2xC10) = C5xC22.19C24φ: C2xC10/C10 → C2 ⊆ Out C22:C480C2^2:C4:13(C2xC10)320,1527
C22:C4:14(C2xC10) = C10xC4.4D4φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4:14(C2xC10)320,1528
C22:C4:15(C2xC10) = C5xC22.32C24φ: C2xC10/C10 → C2 ⊆ Out C22:C480C2^2:C4:15(C2xC10)320,1540
C22:C4:16(C2xC10) = C5xD4:5D4φ: C2xC10/C10 → C2 ⊆ Out C22:C480C2^2:C4:16(C2xC10)320,1548
C22:C4:17(C2xC10) = D4xC2xC20φ: trivial image160C2^2:C4:17(C2xC10)320,1517
C22:C4:18(C2xC10) = C5xC22.11C24φ: trivial image80C2^2:C4:18(C2xC10)320,1520

Non-split extensions G=N.Q with N=C22:C4 and Q=C2xC10
extensionφ:Q→Out NdρLabelID
C22:C4.1(C2xC10) = C5xC23.38C23φ: C2xC10/C5 → C22 ⊆ Out C22:C4160C2^2:C4.1(C2xC10)320,1538
C22:C4.2(C2xC10) = C5xC22.31C24φ: C2xC10/C5 → C22 ⊆ Out C22:C4160C2^2:C4.2(C2xC10)320,1539
C22:C4.3(C2xC10) = C5xC22.35C24φ: C2xC10/C5 → C22 ⊆ Out C22:C4160C2^2:C4.3(C2xC10)320,1543
C22:C4.4(C2xC10) = C5xC22.36C24φ: C2xC10/C5 → C22 ⊆ Out C22:C4160C2^2:C4.4(C2xC10)320,1544
C22:C4.5(C2xC10) = C5xD4:6D4φ: C2xC10/C5 → C22 ⊆ Out C22:C4160C2^2:C4.5(C2xC10)320,1549
C22:C4.6(C2xC10) = C5xC22.50C24φ: C2xC10/C5 → C22 ⊆ Out C22:C4160C2^2:C4.6(C2xC10)320,1558
C22:C4.7(C2xC10) = C5xC22.56C24φ: C2xC10/C5 → C22 ⊆ Out C22:C4160C2^2:C4.7(C2xC10)320,1564
C22:C4.8(C2xC10) = C5xC22.57C24φ: C2xC10/C5 → C22 ⊆ Out C22:C4160C2^2:C4.8(C2xC10)320,1565
C22:C4.9(C2xC10) = C5xC23.C23φ: C2xC10/C10 → C2 ⊆ Out C22:C4804C2^2:C4.9(C2xC10)320,911
C22:C4.10(C2xC10) = C10xC22:Q8φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.10(C2xC10)320,1525
C22:C4.11(C2xC10) = C10xC42:2C2φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.11(C2xC10)320,1530
C22:C4.12(C2xC10) = C5xC23.36C23φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.12(C2xC10)320,1531
C22:C4.13(C2xC10) = C5xC22.26C24φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.13(C2xC10)320,1534
C22:C4.14(C2xC10) = C5xC23.37C23φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.14(C2xC10)320,1535
C22:C4.15(C2xC10) = C5xC22.33C24φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.15(C2xC10)320,1541
C22:C4.16(C2xC10) = C5xC22.34C24φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.16(C2xC10)320,1542
C22:C4.17(C2xC10) = C5xC23:2Q8φ: C2xC10/C10 → C2 ⊆ Out C22:C480C2^2:C4.17(C2xC10)320,1545
C22:C4.18(C2xC10) = C5xC23.41C23φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.18(C2xC10)320,1546
C22:C4.19(C2xC10) = C5xQ8:5D4φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.19(C2xC10)320,1550
C22:C4.20(C2xC10) = C5xD4xQ8φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.20(C2xC10)320,1551
C22:C4.21(C2xC10) = C5xQ8:6D4φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.21(C2xC10)320,1552
C22:C4.22(C2xC10) = C5xC22.46C24φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.22(C2xC10)320,1554
C22:C4.23(C2xC10) = C5xC22.47C24φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.23(C2xC10)320,1555
C22:C4.24(C2xC10) = C5xD4:3Q8φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.24(C2xC10)320,1556
C22:C4.25(C2xC10) = C5xC22.49C24φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.25(C2xC10)320,1557
C22:C4.26(C2xC10) = C5xC22.53C24φ: C2xC10/C10 → C2 ⊆ Out C22:C4160C2^2:C4.26(C2xC10)320,1561
C22:C4.27(C2xC10) = C10xC42:C2φ: trivial image160C2^2:C4.27(C2xC10)320,1516
C22:C4.28(C2xC10) = C4oD4xC20φ: trivial image160C2^2:C4.28(C2xC10)320,1519
C22:C4.29(C2xC10) = C5xC23.32C23φ: trivial image160C2^2:C4.29(C2xC10)320,1521
C22:C4.30(C2xC10) = C5xC23.33C23φ: trivial image160C2^2:C4.30(C2xC10)320,1522

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