# Extensions 1→N→G→Q→1 with N=C5×M4(2) and Q=C22

Direct product G=N×Q with N=C5×M4(2) and Q=C22
dρLabelID
M4(2)×C2×C10160M4(2)xC2xC10320,1568

Semidirect products G=N:Q with N=C5×M4(2) and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×M4(2))⋊1C22 = D5×C8⋊C22φ: C22/C1C22 ⊆ Out C5×M4(2)408+(C5xM4(2)):1C2^2320,1444
(C5×M4(2))⋊2C22 = SD16⋊D10φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)):2C2^2320,1445
(C5×M4(2))⋊3C22 = D85D10φ: C22/C1C22 ⊆ Out C5×M4(2)808+(C5xM4(2)):3C2^2320,1446
(C5×M4(2))⋊4C22 = D86D10φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)):4C2^2320,1447
(C5×M4(2))⋊5C22 = D5×C8.C22φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)):5C2^2320,1448
(C5×M4(2))⋊6C22 = D40⋊C22φ: C22/C1C22 ⊆ Out C5×M4(2)808+(C5xM4(2)):6C2^2320,1449
(C5×M4(2))⋊7C22 = C40.C23φ: C22/C1C22 ⊆ Out C5×M4(2)808+(C5xM4(2)):7C2^2320,1450
(C5×M4(2))⋊8C22 = D20.1D4φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)):8C2^2320,373
(C5×M4(2))⋊9C22 = D201D4φ: C22/C1C22 ⊆ Out C5×M4(2)408+(C5xM4(2)):9C2^2320,374
(C5×M4(2))⋊10C22 = D44D20φ: C22/C1C22 ⊆ Out C5×M4(2)404+(C5xM4(2)):10C2^2320,449
(C5×M4(2))⋊11C22 = M4(2)⋊D10φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)):11C2^2320,452
(C5×M4(2))⋊12C22 = D5×C4.D4φ: C22/C1C22 ⊆ Out C5×M4(2)408+(C5xM4(2)):12C2^2320,371
(C5×M4(2))⋊13C22 = D5×C4≀C2φ: C22/C1C22 ⊆ Out C5×M4(2)404(C5xM4(2)):13C2^2320,447
(C5×M4(2))⋊14C22 = C42⋊D10φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)):14C2^2320,448
(C5×M4(2))⋊15C22 = D2018D4φ: C22/C1C22 ⊆ Out C5×M4(2)408+(C5xM4(2)):15C2^2320,825
(C5×M4(2))⋊16C22 = D20.39D4φ: C22/C1C22 ⊆ Out C5×M4(2)808+(C5xM4(2)):16C2^2320,829
(C5×M4(2))⋊17C22 = C5×D44D4φ: C22/C1C22 ⊆ Out C5×M4(2)404(C5xM4(2)):17C2^2320,954
(C5×M4(2))⋊18C22 = C5×D4.9D4φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)):18C2^2320,956
(C5×M4(2))⋊19C22 = C2×C8⋊D10φ: C22/C2C2 ⊆ Out C5×M4(2)80(C5xM4(2)):19C2^2320,1418
(C5×M4(2))⋊20C22 = C2×C8.D10φ: C22/C2C2 ⊆ Out C5×M4(2)160(C5xM4(2)):20C2^2320,1419
(C5×M4(2))⋊21C22 = C40.9C23φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)):21C2^2320,1420
(C5×M4(2))⋊22C22 = D4.11D20φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)):22C2^2320,1423
(C5×M4(2))⋊23C22 = D4.12D20φ: C22/C2C2 ⊆ Out C5×M4(2)804+(C5xM4(2)):23C2^2320,1424
(C5×M4(2))⋊24C22 = C2×D5×M4(2)φ: C22/C2C2 ⊆ Out C5×M4(2)80(C5xM4(2)):24C2^2320,1415
(C5×M4(2))⋊25C22 = C2×D20.2C4φ: C22/C2C2 ⊆ Out C5×M4(2)160(C5xM4(2)):25C2^2320,1416
(C5×M4(2))⋊26C22 = C40.47C23φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)):26C2^2320,1417
(C5×M4(2))⋊27C22 = D5×C8○D4φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)):27C2^2320,1421
(C5×M4(2))⋊28C22 = C20.72C24φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)):28C2^2320,1422
(C5×M4(2))⋊29C22 = C10×C8⋊C22φ: C22/C2C2 ⊆ Out C5×M4(2)80(C5xM4(2)):29C2^2320,1575
(C5×M4(2))⋊30C22 = C10×C8.C22φ: C22/C2C2 ⊆ Out C5×M4(2)160(C5xM4(2)):30C2^2320,1576
(C5×M4(2))⋊31C22 = C5×D8⋊C22φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)):31C2^2320,1577
(C5×M4(2))⋊32C22 = C5×D4○D8φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)):32C2^2320,1578
(C5×M4(2))⋊33C22 = C5×D4○SD16φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)):33C2^2320,1579
(C5×M4(2))⋊34C22 = C2×C20.46D4φ: C22/C2C2 ⊆ Out C5×M4(2)80(C5xM4(2)):34C2^2320,757
(C5×M4(2))⋊35C22 = C2×D207C4φ: C22/C2C2 ⊆ Out C5×M4(2)80(C5xM4(2)):35C2^2320,765
(C5×M4(2))⋊36C22 = C23.20D20φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)):36C2^2320,766
(C5×M4(2))⋊37C22 = C10×C4.D4φ: C22/C2C2 ⊆ Out C5×M4(2)80(C5xM4(2)):37C2^2320,912
(C5×M4(2))⋊38C22 = C10×C4≀C2φ: C22/C2C2 ⊆ Out C5×M4(2)80(C5xM4(2)):38C2^2320,921
(C5×M4(2))⋊39C22 = C5×C42⋊C22φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)):39C2^2320,922
(C5×M4(2))⋊40C22 = C10×C8○D4φ: trivial image160(C5xM4(2)):40C2^2320,1569
(C5×M4(2))⋊41C22 = C5×Q8○M4(2)φ: trivial image804(C5xM4(2)):41C2^2320,1570

Non-split extensions G=N.Q with N=C5×M4(2) and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×M4(2)).1C22 = D20.44D4φ: C22/C1C22 ⊆ Out C5×M4(2)1608-(C5xM4(2)).1C2^2320,1451
(C5×M4(2)).2C22 = D20.4D4φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)).2C2^2320,379
(C5×M4(2)).3C22 = D20.5D4φ: C22/C1C22 ⊆ Out C5×M4(2)808+(C5xM4(2)).3C2^2320,380
(C5×M4(2)).4C22 = D4.9D20φ: C22/C1C22 ⊆ Out C5×M4(2)804-(C5xM4(2)).4C2^2320,453
(C5×M4(2)).5C22 = D4.10D20φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)).5C2^2320,454
(C5×M4(2)).6C22 = C8.20D20φ: C22/C1C22 ⊆ Out C5×M4(2)1604-(C5xM4(2)).6C2^2320,523
(C5×M4(2)).7C22 = C8.21D20φ: C22/C1C22 ⊆ Out C5×M4(2)804+(C5xM4(2)).7C2^2320,524
(C5×M4(2)).8C22 = C8.24D20φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)).8C2^2320,525
(C5×M4(2)).9C22 = M4(2).19D10φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)).9C2^2320,372
(C5×M4(2)).10C22 = D20.2D4φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)).10C2^2320,375
(C5×M4(2)).11C22 = D20.3D4φ: C22/C1C22 ⊆ Out C5×M4(2)808+(C5xM4(2)).11C2^2320,376
(C5×M4(2)).12C22 = D5×C4.10D4φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)).12C2^2320,377
(C5×M4(2)).13C22 = M4(2).21D10φ: C22/C1C22 ⊆ Out C5×M4(2)808+(C5xM4(2)).13C2^2320,378
(C5×M4(2)).14C22 = D20.6D4φ: C22/C1C22 ⊆ Out C5×M4(2)808+(C5xM4(2)).14C2^2320,381
(C5×M4(2)).15C22 = D20.7D4φ: C22/C1C22 ⊆ Out C5×M4(2)1608-(C5xM4(2)).15C2^2320,382
(C5×M4(2)).16C22 = M4(2).22D10φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)).16C2^2320,450
(C5×M4(2)).17C22 = C42.196D10φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)).17C2^2320,451
(C5×M4(2)).18C22 = D5×C8.C4φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)).18C2^2320,519
(C5×M4(2)).19C22 = M4(2).25D10φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)).19C2^2320,520
(C5×M4(2)).20C22 = D4016C4φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)).20C2^2320,521
(C5×M4(2)).21C22 = D4013C4φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)).21C2^2320,522
(C5×M4(2)).22C22 = M4(2).D10φ: C22/C1C22 ⊆ Out C5×M4(2)808+(C5xM4(2)).22C2^2320,826
(C5×M4(2)).23C22 = M4(2).13D10φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)).23C2^2320,827
(C5×M4(2)).24C22 = D20.38D4φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)).24C2^2320,828
(C5×M4(2)).25C22 = M4(2).15D10φ: C22/C1C22 ⊆ Out C5×M4(2)808+(C5xM4(2)).25C2^2320,830
(C5×M4(2)).26C22 = M4(2).16D10φ: C22/C1C22 ⊆ Out C5×M4(2)1608-(C5xM4(2)).26C2^2320,831
(C5×M4(2)).27C22 = D20.40D4φ: C22/C1C22 ⊆ Out C5×M4(2)808-(C5xM4(2)).27C2^2320,832
(C5×M4(2)).28C22 = C5×D4.8D4φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)).28C2^2320,955
(C5×M4(2)).29C22 = C5×D4.10D4φ: C22/C1C22 ⊆ Out C5×M4(2)804(C5xM4(2)).29C2^2320,957
(C5×M4(2)).30C22 = D4.13D20φ: C22/C2C2 ⊆ Out C5×M4(2)1604-(C5xM4(2)).30C2^2320,1425
(C5×M4(2)).31C22 = C5×Q8○D8φ: C22/C2C2 ⊆ Out C5×M4(2)1604(C5xM4(2)).31C2^2320,1580
(C5×M4(2)).32C22 = C2×C20.53D4φ: C22/C2C2 ⊆ Out C5×M4(2)160(C5xM4(2)).32C2^2320,750
(C5×M4(2)).33C22 = C23.Dic10φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)).33C2^2320,751
(C5×M4(2)).34C22 = M4(2).31D10φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)).34C2^2320,759
(C5×M4(2)).35C22 = C2×C4.12D20φ: C22/C2C2 ⊆ Out C5×M4(2)160(C5xM4(2)).35C2^2320,763
(C5×M4(2)).36C22 = D4.3D20φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)).36C2^2320,768
(C5×M4(2)).37C22 = D4.4D20φ: C22/C2C2 ⊆ Out C5×M4(2)804+(C5xM4(2)).37C2^2320,769
(C5×M4(2)).38C22 = D4.5D20φ: C22/C2C2 ⊆ Out C5×M4(2)1604-(C5xM4(2)).38C2^2320,770
(C5×M4(2)).39C22 = C40.93D4φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)).39C2^2320,771
(C5×M4(2)).40C22 = C40.50D4φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)).40C2^2320,772
(C5×M4(2)).41C22 = C10×C4.10D4φ: C22/C2C2 ⊆ Out C5×M4(2)160(C5xM4(2)).41C2^2320,913
(C5×M4(2)).42C22 = C5×M4(2).8C22φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)).42C2^2320,914
(C5×M4(2)).43C22 = C10×C8.C4φ: C22/C2C2 ⊆ Out C5×M4(2)160(C5xM4(2)).43C2^2320,930
(C5×M4(2)).44C22 = C5×M4(2).C4φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)).44C2^2320,931
(C5×M4(2)).45C22 = C5×C8○D8φ: C22/C2C2 ⊆ Out C5×M4(2)802(C5xM4(2)).45C2^2320,944
(C5×M4(2)).46C22 = C5×C8.26D4φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)).46C2^2320,945
(C5×M4(2)).47C22 = C5×D4.3D4φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)).47C2^2320,972
(C5×M4(2)).48C22 = C5×D4.4D4φ: C22/C2C2 ⊆ Out C5×M4(2)804(C5xM4(2)).48C2^2320,973
(C5×M4(2)).49C22 = C5×D4.5D4φ: C22/C2C2 ⊆ Out C5×M4(2)1604(C5xM4(2)).49C2^2320,974

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