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Extensions 1→N→G→Q→1 with N=C10xM4(2) and Q=C2

Direct product G=NxQ with N=C10xM4(2) and Q=C2
dρLabelID
M4(2)xC2xC10160M4(2)xC2xC10320,1568

Semidirect products G=N:Q with N=C10xM4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C10xM4(2)):1C2 = C40:2D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):1C2320,761
(C10xM4(2)):2C2 = C40:3D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):2C2320,762
(C10xM4(2)):3C2 = C2xC8:D10φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):3C2320,1418
(C10xM4(2)):4C2 = C2xC8.D10φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):4C2320,1419
(C10xM4(2)):5C2 = C40.9C23φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)):5C2320,1420
(C10xM4(2)):6C2 = C40:D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):6C2320,754
(C10xM4(2)):7C2 = C40:18D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):7C2320,755
(C10xM4(2)):8C2 = C2xD5xM4(2)φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):8C2320,1415
(C10xM4(2)):9C2 = C2xD20.2C4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):9C2320,1416
(C10xM4(2)):10C2 = C40.47C23φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)):10C2320,1417
(C10xM4(2)):11C2 = C5xC8:D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):11C2320,969
(C10xM4(2)):12C2 = C5xC8:2D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):12C2320,970
(C10xM4(2)):13C2 = C10xC8:C22φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):13C2320,1575
(C10xM4(2)):14C2 = C10xC8.C22φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):14C2320,1576
(C10xM4(2)):15C2 = C5xD8:C22φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)):15C2320,1577
(C10xM4(2)):16C2 = D10:8M4(2)φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):16C2320,753
(C10xM4(2)):17C2 = C4.89(C2xD20)φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):17C2320,756
(C10xM4(2)):18C2 = C2xC20.46D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):18C2320,757
(C10xM4(2)):19C2 = C23.48D20φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):19C2320,758
(C10xM4(2)):20C2 = M4(2).31D10φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)):20C2320,759
(C10xM4(2)):21C2 = C23.49D20φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):21C2320,760
(C10xM4(2)):22C2 = C2xD20:7C4φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):22C2320,765
(C10xM4(2)):23C2 = C23.20D20φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)):23C2320,766
(C10xM4(2)):24C2 = C5xC24.4C4φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):24C2320,908
(C10xM4(2)):25C2 = C5x(C22xC8):C2φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):25C2320,909
(C10xM4(2)):26C2 = C10xC4.D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):26C2320,912
(C10xM4(2)):27C2 = C5xM4(2).8C22φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)):27C2320,914
(C10xM4(2)):28C2 = C5xC23.36D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):28C2320,918
(C10xM4(2)):29C2 = C5xC23.37D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):29C2320,919
(C10xM4(2)):30C2 = C10xC4wrC2φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)):30C2320,921
(C10xM4(2)):31C2 = C5xC42:C22φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)):31C2320,922
(C10xM4(2)):32C2 = C5xC8:9D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):32C2320,936
(C10xM4(2)):33C2 = C5xC8:6D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)):33C2320,937
(C10xM4(2)):34C2 = C5xQ8oM4(2)φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)):34C2320,1570
(C10xM4(2)):35C2 = C10xC8oD4φ: trivial image160(C10xM4(2)):35C2320,1569

Non-split extensions G=N.Q with N=C10xM4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C10xM4(2)).1C2 = C23.47D20φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).1C2320,748
(C10xM4(2)).2C2 = M4(2).Dic5φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).2C2320,752
(C10xM4(2)).3C2 = C40.4D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).3C2320,764
(C10xM4(2)).4C2 = C40.D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).4C2320,111
(C10xM4(2)).5C2 = M4(2)xDic5φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).5C2320,744
(C10xM4(2)).6C2 = C20.37C42φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).6C2320,749
(C10xM4(2)).7C2 = C5xM4(2):C4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).7C2320,929
(C10xM4(2)).8C2 = C5xC8.D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).8C2320,971
(C10xM4(2)).9C2 = M4(2):Dic5φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).9C2320,112
(C10xM4(2)).10C2 = C20.33C42φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)).10C2320,113
(C10xM4(2)).11C2 = (C2xC40):C4φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).11C2320,114
(C10xM4(2)).12C2 = C23.9D20φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).12C2320,115
(C10xM4(2)).13C2 = C20.34C42φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).13C2320,116
(C10xM4(2)).14C2 = M4(2):4Dic5φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).14C2320,117
(C10xM4(2)).15C2 = C20.51C42φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).15C2320,118
(C10xM4(2)).16C2 = C5xC4.9C42φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).16C2320,142
(C10xM4(2)).17C2 = C5xC4.10C42φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).17C2320,143
(C10xM4(2)).18C2 = C5xC42:6C4φ: C2/C1 → C2 ⊆ Out C10xM4(2)80(C10xM4(2)).18C2320,144
(C10xM4(2)).19C2 = C5xC4.C42φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).19C2320,146
(C10xM4(2)).20C2 = C5xC22.C42φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).20C2320,148
(C10xM4(2)).21C2 = C5xM4(2):4C4φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).21C2320,149
(C10xM4(2)).22C2 = C5xC23.C8φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).22C2320,154
(C10xM4(2)).23C2 = Dic5:5M4(2)φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).23C2320,745
(C10xM4(2)).24C2 = C20.51(C4:C4)φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).24C2320,746
(C10xM4(2)).25C2 = C23.46D20φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).25C2320,747
(C10xM4(2)).26C2 = C2xC20.53D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).26C2320,750
(C10xM4(2)).27C2 = C23.Dic10φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).27C2320,751
(C10xM4(2)).28C2 = C2xC4.12D20φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).28C2320,763
(C10xM4(2)).29C2 = C10xC4.10D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).29C2320,913
(C10xM4(2)).30C2 = C5xC23.38D4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).30C2320,920
(C10xM4(2)).31C2 = C5xC4:M4(2)φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).31C2320,924
(C10xM4(2)).32C2 = C5xC42.6C22φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).32C2320,925
(C10xM4(2)).33C2 = C10xC8.C4φ: C2/C1 → C2 ⊆ Out C10xM4(2)160(C10xM4(2)).33C2320,930
(C10xM4(2)).34C2 = C5xM4(2).C4φ: C2/C1 → C2 ⊆ Out C10xM4(2)804(C10xM4(2)).34C2320,931
(C10xM4(2)).35C2 = M4(2)xC20φ: trivial image160(C10xM4(2)).35C2320,905
(C10xM4(2)).36C2 = C5xC8o2M4(2)φ: trivial image160(C10xM4(2)).36C2320,906

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