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Extensions 1→N→G→Q→1 with N=C40⋊C2 and Q=C22

Direct product G=N×Q with N=C40⋊C2 and Q=C22
dρLabelID
C22×C40⋊C2160C2^2xC40:C2320,1411

Semidirect products G=N:Q with N=C40⋊C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C40⋊C2⋊1C22 = D5×C8⋊C22φ: C22/C1 → C22 ⊆ Out C40⋊C2408+C40:C2:1C2^2320,1444
C40⋊C2⋊2C22 = SD16⋊D10φ: C22/C1 → C22 ⊆ Out C40⋊C2808-C40:C2:2C2^2320,1445
C40⋊C2⋊3C22 = D8⋊5D10φ: C22/C1 → C22 ⊆ Out C40⋊C2808+C40:C2:3C2^2320,1446
C40⋊C2⋊4C22 = D8⋊6D10φ: C22/C1 → C22 ⊆ Out C40⋊C2808-C40:C2:4C2^2320,1447
C40⋊C2⋊5C22 = D5×C8.C22φ: C22/C1 → C22 ⊆ Out C40⋊C2808-C40:C2:5C2^2320,1448
C40⋊C2⋊6C22 = D40⋊C22φ: C22/C1 → C22 ⊆ Out C40⋊C2808+C40:C2:6C2^2320,1449
C40⋊C2⋊7C22 = C40.C23φ: C22/C1 → C22 ⊆ Out C40⋊C2808+C40:C2:7C2^2320,1450
C40⋊C2⋊8C22 = C2×C8⋊D10φ: C22/C2 → C2 ⊆ Out C40⋊C280C40:C2:8C2^2320,1418
C40⋊C2⋊9C22 = C2×C8.D10φ: C22/C2 → C2 ⊆ Out C40⋊C2160C40:C2:9C2^2320,1419
C40⋊C2⋊10C22 = C40.9C23φ: C22/C2 → C2 ⊆ Out C40⋊C2804C40:C2:10C2^2320,1420
C40⋊C2⋊11C22 = D4.11D20φ: C22/C2 → C2 ⊆ Out C40⋊C2804C40:C2:11C2^2320,1423
C40⋊C2⋊12C22 = D4.12D20φ: C22/C2 → C2 ⊆ Out C40⋊C2804+C40:C2:12C2^2320,1424
C40⋊C2⋊13C22 = C2×D8⋊D5φ: C22/C2 → C2 ⊆ Out C40⋊C280C40:C2:13C2^2320,1427
C40⋊C2⋊14C22 = D8⋊13D10φ: C22/C2 → C2 ⊆ Out C40⋊C2804C40:C2:14C2^2320,1429
C40⋊C2⋊15C22 = C2×Q16⋊D5φ: C22/C2 → C2 ⊆ Out C40⋊C2160C40:C2:15C2^2320,1436
C40⋊C2⋊16C22 = Q16⋊D10φ: C22/C2 → C2 ⊆ Out C40⋊C2804C40:C2:16C2^2320,1440
C40⋊C2⋊17C22 = C2×D5×SD16φ: C22/C2 → C2 ⊆ Out C40⋊C280C40:C2:17C2^2320,1430
C40⋊C2⋊18C22 = C2×SD16⋊3D5φ: C22/C2 → C2 ⊆ Out C40⋊C2160C40:C2:18C2^2320,1433
C40⋊C2⋊19C22 = D20.29D4φ: C22/C2 → C2 ⊆ Out C40⋊C2804C40:C2:19C2^2320,1434
C40⋊C2⋊20C22 = D5×C4○D8φ: C22/C2 → C2 ⊆ Out C40⋊C2804C40:C2:20C2^2320,1439
C40⋊C2⋊21C22 = D8⋊11D10φ: C22/C2 → C2 ⊆ Out C40⋊C2804C40:C2:21C2^2320,1442
C40⋊C2⋊22C22 = C2×D40⋊7C2φ: trivial image160C40:C2:22C2^2320,1413

Non-split extensions G=N.Q with N=C40⋊C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C40⋊C2.C22 = D20.44D4φ: C22/C1 → C22 ⊆ Out C40⋊C21608-C40:C2.C2^2320,1451
C40⋊C2.2C22 = D4.13D20φ: C22/C2 → C2 ⊆ Out C40⋊C21604-C40:C2.2C2^2320,1425
C40⋊C2.3C22 = D20.30D4φ: C22/C2 → C2 ⊆ Out C40⋊C21604C40:C2.3C2^2320,1438

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