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

Direct product G=N×Q with N=C22×C10 and Q=C2×C4
dρLabelID
C24×C20320C2^4xC20320,1628

Semidirect products G=N:Q with N=C22×C10 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C22×C10)⋊1(C2×C4) = D5×C23⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10408+(C2^2xC10):1(C2xC4)320,370
(C22×C10)⋊2(C2×C4) = (C2×D4)⋊7F5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10408+(C2^2xC10):2(C2xC4)320,1108
(C22×C10)⋊3(C2×C4) = (C2×F5)⋊D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C1040(C2^2xC10):3(C2xC4)320,1117
(C22×C10)⋊4(C2×C4) = C2×D4×F5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C1040(C2^2xC10):4(C2xC4)320,1595
(C22×C10)⋊5(C2×C4) = D10.C24φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10408+(C2^2xC10):5(C2xC4)320,1596
(C22×C10)⋊6(C2×C4) = C10×C23⋊C4φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10):6(C2xC4)320,910
(C22×C10)⋊7(C2×C4) = C2×C23⋊Dic5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10):7(C2xC4)320,846
(C22×C10)⋊8(C2×C4) = C2×C23⋊F5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10):8(C2xC4)320,1134
(C22×C10)⋊9(C2×C4) = C22×C22⋊F5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10):9(C2xC4)320,1607
(C22×C10)⋊10(C2×C4) = C24×F5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10):10(C2xC4)320,1638
(C22×C10)⋊11(C2×C4) = C5×C23.23D4φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10):11(C2xC4)320,887
(C22×C10)⋊12(C2×C4) = C5×C22.11C24φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10):12(C2xC4)320,1520
(C22×C10)⋊13(C2×C4) = C24.12D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10):13(C2xC4)320,583
(C22×C10)⋊14(C2×C4) = C24.18D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10):14(C2xC4)320,847
(C22×C10)⋊15(C2×C4) = C2×D5×C22⋊C4φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10):15(C2xC4)320,1156
(C22×C10)⋊16(C2×C4) = C2×Dic54D4φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10):16(C2xC4)320,1157
(C22×C10)⋊17(C2×C4) = C24.24D10φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10):17(C2xC4)320,1158
(C22×C10)⋊18(C2×C4) = C2×D4×Dic5φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10):18(C2xC4)320,1467
(C22×C10)⋊19(C2×C4) = C24.38D10φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10):19(C2xC4)320,1470
(C22×C10)⋊20(C2×C4) = D4×C2×C20φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10):20(C2xC4)320,1517
(C22×C10)⋊21(C2×C4) = C2×C4×C5⋊D4φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10):21(C2xC4)320,1460
(C22×C10)⋊22(C2×C4) = D5×C23×C4φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10):22(C2xC4)320,1609
(C22×C10)⋊23(C2×C4) = C22⋊C4×C2×C10φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10):23(C2xC4)320,1514
(C22×C10)⋊24(C2×C4) = C22×C23.D5φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10):24(C2xC4)320,1511
(C22×C10)⋊25(C2×C4) = C24×Dic5φ: C2×C4/C22C2 ⊆ Aut C22×C10320(C2^2xC10):25(C2xC4)320,1626

Non-split extensions G=N.Q with N=C22×C10 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C22×C10).1(C2×C4) = C53C2≀C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10408+(C2^2xC10).1(C2xC4)320,29
(C22×C10).2(C2×C4) = (C2×C20).D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10808-(C2^2xC10).2(C2xC4)320,30
(C22×C10).3(C2×C4) = C23.3D20φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10408+(C2^2xC10).3(C2xC4)320,33
(C22×C10).4(C2×C4) = C23.4D20φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10808-(C2^2xC10).4(C2xC4)320,34
(C22×C10).5(C2×C4) = C23⋊C45D5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10808-(C2^2xC10).5(C2xC4)320,367
(C22×C10).6(C2×C4) = D5×C4.D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10408+(C2^2xC10).6(C2xC4)320,371
(C22×C10).7(C2×C4) = M4(2).19D10φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10808-(C2^2xC10).7(C2xC4)320,372
(C22×C10).8(C2×C4) = C5⋊C2≀C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10408+(C2^2xC10).8(C2xC4)320,202
(C22×C10).9(C2×C4) = C22⋊C4⋊F5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10808-(C2^2xC10).9(C2xC4)320,203
(C22×C10).10(C2×C4) = (C22×F5)⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10408+(C2^2xC10).10(C2xC4)320,204
(C22×C10).11(C2×C4) = C22⋊C4.F5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10808-(C2^2xC10).11(C2xC4)320,205
(C22×C10).12(C2×C4) = Dic5.C42φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).12(C2xC4)320,1029
(C22×C10).13(C2×C4) = C5⋊C88D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).13(C2xC4)320,1030
(C22×C10).14(C2×C4) = C5⋊C8⋊D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).14(C2xC4)320,1031
(C22×C10).15(C2×C4) = D10⋊M4(2)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).15(C2xC4)320,1032
(C22×C10).16(C2×C4) = Dic5⋊M4(2)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).16(C2xC4)320,1033
(C22×C10).17(C2×C4) = C20⋊C8⋊C2φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).17(C2xC4)320,1034
(C22×C10).18(C2×C4) = C23.(C2×F5)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).18(C2xC4)320,1035
(C22×C10).19(C2×C4) = C22⋊C4×F5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C1040(C2^2xC10).19(C2xC4)320,1036
(C22×C10).20(C2×C4) = D10⋊(C4⋊C4)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C1040(C2^2xC10).20(C2xC4)320,1037
(C22×C10).21(C2×C4) = C10.(C4×D4)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C1080(C2^2xC10).21(C2xC4)320,1038
(C22×C10).22(C2×C4) = (C2×D4)⋊8F5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10808-(C2^2xC10).22(C2xC4)320,1109
(C22×C10).23(C2×C4) = D4×C5⋊C8φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).23(C2xC4)320,1110
(C22×C10).24(C2×C4) = C5⋊C87D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).24(C2xC4)320,1111
(C22×C10).25(C2×C4) = C202M4(2)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).25(C2xC4)320,1112
(C22×C10).26(C2×C4) = (C2×D4).7F5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).26(C2xC4)320,1113
(C22×C10).27(C2×C4) = (C2×D4).8F5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).27(C2xC4)320,1114
(C22×C10).28(C2×C4) = (C2×D4).9F5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10808-(C2^2xC10).28(C2xC4)320,1115
(C22×C10).29(C2×C4) = D5⋊(C4.D4)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10408+(C2^2xC10).29(C2xC4)320,1116
(C22×C10).30(C2×C4) = C2.(D4×F5)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C1080(C2^2xC10).30(C2xC4)320,1118
(C22×C10).31(C2×C4) = C2×D4.F5φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10160(C2^2xC10).31(C2xC4)320,1593
(C22×C10).32(C2×C4) = Dic5.C24φ: C2×C4/C1C2×C4 ⊆ Aut C22×C10808-(C2^2xC10).32(C2xC4)320,1594
(C22×C10).33(C2×C4) = C5×C2≀C4φ: C2×C4/C2C4 ⊆ Aut C22×C10404(C2^2xC10).33(C2xC4)320,156
(C22×C10).34(C2×C4) = C5×C23.D4φ: C2×C4/C2C4 ⊆ Aut C22×C10804(C2^2xC10).34(C2xC4)320,157
(C22×C10).35(C2×C4) = C5×C23.C23φ: C2×C4/C2C4 ⊆ Aut C22×C10804(C2^2xC10).35(C2xC4)320,911
(C22×C10).36(C2×C4) = C10×C4.D4φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).36(C2xC4)320,912
(C22×C10).37(C2×C4) = C5×M4(2).8C22φ: C2×C4/C2C4 ⊆ Aut C22×C10804(C2^2xC10).37(C2xC4)320,914
(C22×C10).38(C2×C4) = C242Dic5φ: C2×C4/C2C4 ⊆ Aut C22×C10404(C2^2xC10).38(C2xC4)320,94
(C22×C10).39(C2×C4) = (C22×C20)⋊C4φ: C2×C4/C2C4 ⊆ Aut C22×C10804(C2^2xC10).39(C2xC4)320,97
(C22×C10).40(C2×C4) = C2×C20.D4φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).40(C2xC4)320,843
(C22×C10).41(C2×C4) = (D4×C10)⋊22C4φ: C2×C4/C2C4 ⊆ Aut C22×C10804(C2^2xC10).41(C2xC4)320,867
(C22×C10).42(C2×C4) = (C2×C20)⋊1C8φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).42(C2xC4)320,251
(C22×C10).43(C2×C4) = (C22×C4).F5φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).43(C2xC4)320,252
(C22×C10).44(C2×C4) = C5⋊(C23⋊C8)φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).44(C2xC4)320,253
(C22×C10).45(C2×C4) = (C22×C4)⋊F5φ: C2×C4/C2C4 ⊆ Aut C22×C10804(C2^2xC10).45(C2xC4)320,254
(C22×C10).46(C2×C4) = C22⋊F5⋊C4φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).46(C2xC4)320,255
(C22×C10).47(C2×C4) = C10.(C4⋊C8)φ: C2×C4/C2C4 ⊆ Aut C22×C10320(C2^2xC10).47(C2xC4)320,256
(C22×C10).48(C2×C4) = C22.F5⋊C4φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).48(C2xC4)320,257
(C22×C10).49(C2×C4) = C24.F5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).49(C2xC4)320,271
(C22×C10).50(C2×C4) = C242F5φ: C2×C4/C2C4 ⊆ Aut C22×C10404(C2^2xC10).50(C2xC4)320,272
(C22×C10).51(C2×C4) = C2×D10.D4φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).51(C2xC4)320,1082
(C22×C10).52(C2×C4) = C23⋊F55C2φ: C2×C4/C2C4 ⊆ Aut C22×C10804(C2^2xC10).52(C2xC4)320,1083
(C22×C10).53(C2×C4) = C2×C4×C5⋊C8φ: C2×C4/C2C4 ⊆ Aut C22×C10320(C2^2xC10).53(C2xC4)320,1084
(C22×C10).54(C2×C4) = C2×C20⋊C8φ: C2×C4/C2C4 ⊆ Aut C22×C10320(C2^2xC10).54(C2xC4)320,1085
(C22×C10).55(C2×C4) = Dic5.12M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).55(C2xC4)320,1086
(C22×C10).56(C2×C4) = C2×C10.C42φ: C2×C4/C2C4 ⊆ Aut C22×C10320(C2^2xC10).56(C2xC4)320,1087
(C22×C10).57(C2×C4) = C4×C22.F5φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).57(C2xC4)320,1088
(C22×C10).58(C2×C4) = C2×D10⋊C8φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).58(C2xC4)320,1089
(C22×C10).59(C2×C4) = C2×Dic5⋊C8φ: C2×C4/C2C4 ⊆ Aut C22×C10320(C2^2xC10).59(C2xC4)320,1090
(C22×C10).60(C2×C4) = D10.11M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).60(C2xC4)320,1091
(C22×C10).61(C2×C4) = C20.34M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).61(C2xC4)320,1092
(C22×C10).62(C2×C4) = D109M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).62(C2xC4)320,1093
(C22×C10).63(C2×C4) = D1010M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).63(C2xC4)320,1094
(C22×C10).64(C2×C4) = Dic5.13M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).64(C2xC4)320,1095
(C22×C10).65(C2×C4) = C208M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).65(C2xC4)320,1096
(C22×C10).66(C2×C4) = C20.30M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).66(C2xC4)320,1097
(C22×C10).67(C2×C4) = C2×Dic5.D4φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).67(C2xC4)320,1098
(C22×C10).68(C2×C4) = (C4×D5).D4φ: C2×C4/C2C4 ⊆ Aut C22×C10804(C2^2xC10).68(C2xC4)320,1099
(C22×C10).69(C2×C4) = C2×D10.3Q8φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).69(C2xC4)320,1100
(C22×C10).70(C2×C4) = C4×C22⋊F5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).70(C2xC4)320,1101
(C22×C10).71(C2×C4) = (C22×C4)⋊7F5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).71(C2xC4)320,1102
(C22×C10).72(C2×C4) = D106(C4⋊C4)φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).72(C2xC4)320,1103
(C22×C10).73(C2×C4) = C2×C23.2F5φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).73(C2xC4)320,1135
(C22×C10).74(C2×C4) = C24.4F5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).74(C2xC4)320,1136
(C22×C10).75(C2×C4) = C2×C23.F5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).75(C2xC4)320,1137
(C22×C10).76(C2×C4) = C244F5φ: C2×C4/C2C4 ⊆ Aut C22×C1040(C2^2xC10).76(C2xC4)320,1138
(C22×C10).77(C2×C4) = C22×D5⋊C8φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).77(C2xC4)320,1587
(C22×C10).78(C2×C4) = C22×C4.F5φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).78(C2xC4)320,1588
(C22×C10).79(C2×C4) = C2×D5⋊M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).79(C2xC4)320,1589
(C22×C10).80(C2×C4) = C22×C4×F5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).80(C2xC4)320,1590
(C22×C10).81(C2×C4) = C22×C4⋊F5φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).81(C2xC4)320,1591
(C22×C10).82(C2×C4) = C2×D10.C23φ: C2×C4/C2C4 ⊆ Aut C22×C1080(C2^2xC10).82(C2xC4)320,1592
(C22×C10).83(C2×C4) = C23×C5⋊C8φ: C2×C4/C2C4 ⊆ Aut C22×C10320(C2^2xC10).83(C2xC4)320,1605
(C22×C10).84(C2×C4) = C22×C22.F5φ: C2×C4/C2C4 ⊆ Aut C22×C10160(C2^2xC10).84(C2xC4)320,1606
(C22×C10).85(C2×C4) = C5×C23.9D4φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).85(C2xC4)320,147
(C22×C10).86(C2×C4) = C5×M4(2)⋊4C4φ: C2×C4/C2C22 ⊆ Aut C22×C10804(C2^2xC10).86(C2xC4)320,149
(C22×C10).87(C2×C4) = C5×C24.C22φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).87(C2xC4)320,889
(C22×C10).88(C2×C4) = C5×C24.3C22φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).88(C2xC4)320,891
(C22×C10).89(C2×C4) = C5×(C22×C8)⋊C2φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).89(C2xC4)320,909
(C22×C10).90(C2×C4) = C5×C42.7C22φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).90(C2xC4)320,934
(C22×C10).91(C2×C4) = C5×C89D4φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).91(C2xC4)320,936
(C22×C10).92(C2×C4) = C5×C86D4φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).92(C2xC4)320,937
(C22×C10).93(C2×C4) = C5×Q8○M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C10804(C2^2xC10).93(C2xC4)320,1570
(C22×C10).94(C2×C4) = C53(C23⋊C8)φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).94(C2xC4)320,26
(C22×C10).95(C2×C4) = (C2×Dic5)⋊C8φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).95(C2xC4)320,27
(C22×C10).96(C2×C4) = C24.D10φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).96(C2xC4)320,84
(C22×C10).97(C2×C4) = C24.2D10φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).97(C2xC4)320,85
(C22×C10).98(C2×C4) = C20.60(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C22×C10804(C2^2xC10).98(C2xC4)320,91
(C22×C10).99(C2×C4) = M4(2)⋊Dic5φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).99(C2xC4)320,112
(C22×C10).100(C2×C4) = (C2×C40)⋊C4φ: C2×C4/C2C22 ⊆ Aut C22×C10804(C2^2xC10).100(C2xC4)320,114
(C22×C10).101(C2×C4) = M4(2)⋊4Dic5φ: C2×C4/C2C22 ⊆ Aut C22×C10804(C2^2xC10).101(C2xC4)320,117
(C22×C10).102(C2×C4) = Dic5.14M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).102(C2xC4)320,345
(C22×C10).103(C2×C4) = Dic5.9M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).103(C2xC4)320,346
(C22×C10).104(C2×C4) = C408C4⋊C2φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).104(C2xC4)320,347
(C22×C10).105(C2×C4) = D5×C22⋊C8φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).105(C2xC4)320,351
(C22×C10).106(C2×C4) = C55(C8×D4)φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).106(C2xC4)320,352
(C22×C10).107(C2×C4) = D107M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).107(C2xC4)320,353
(C22×C10).108(C2×C4) = C22⋊C8⋊D5φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).108(C2xC4)320,354
(C22×C10).109(C2×C4) = D104M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).109(C2xC4)320,355
(C22×C10).110(C2×C4) = Dic52M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).110(C2xC4)320,356
(C22×C10).111(C2×C4) = C52C826D4φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).111(C2xC4)320,357
(C22×C10).112(C2×C4) = C22⋊C4×Dic5φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).112(C2xC4)320,568
(C22×C10).113(C2×C4) = C24.44D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).113(C2xC4)320,569
(C22×C10).114(C2×C4) = C23.42D20φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).114(C2xC4)320,570
(C22×C10).115(C2×C4) = C24.3D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).115(C2xC4)320,571
(C22×C10).116(C2×C4) = C24.4D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).116(C2xC4)320,572
(C22×C10).117(C2×C4) = C24.46D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).117(C2xC4)320,573
(C22×C10).118(C2×C4) = C24.47D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).118(C2xC4)320,577
(C22×C10).119(C2×C4) = C24.8D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).119(C2xC4)320,578
(C22×C10).120(C2×C4) = C2×C23.1D10φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).120(C2xC4)320,581
(C22×C10).121(C2×C4) = C24.48D10φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).121(C2xC4)320,582
(C22×C10).122(C2×C4) = C24.13D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).122(C2xC4)320,584
(C22×C10).123(C2×C4) = C23.45D20φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).123(C2xC4)320,585
(C22×C10).124(C2×C4) = C20.35C42φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).124(C2xC4)320,624
(C22×C10).125(C2×C4) = C42.43D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).125(C2xC4)320,626
(C22×C10).126(C2×C4) = C42.187D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).126(C2xC4)320,627
(C22×C10).127(C2×C4) = D4×C52C8φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).127(C2xC4)320,637
(C22×C10).128(C2×C4) = C42.47D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).128(C2xC4)320,638
(C22×C10).129(C2×C4) = C207M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).129(C2xC4)320,639
(C22×C10).130(C2×C4) = M4(2)×Dic5φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).130(C2xC4)320,744
(C22×C10).131(C2×C4) = Dic55M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).131(C2xC4)320,745
(C22×C10).132(C2×C4) = C20.51(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).132(C2xC4)320,746
(C22×C10).133(C2×C4) = C20.37C42φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).133(C2xC4)320,749
(C22×C10).134(C2×C4) = D108M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).134(C2xC4)320,753
(C22×C10).135(C2×C4) = C40⋊D4φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).135(C2xC4)320,754
(C22×C10).136(C2×C4) = C4018D4φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).136(C2xC4)320,755
(C22×C10).137(C2×C4) = C4.89(C2×D20)φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).137(C2xC4)320,756
(C22×C10).138(C2×C4) = C2×C20.46D4φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).138(C2xC4)320,757
(C22×C10).139(C2×C4) = M4(2).31D10φ: C2×C4/C2C22 ⊆ Aut C22×C10804(C2^2xC10).139(C2xC4)320,759
(C22×C10).140(C2×C4) = C2×C4.12D20φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).140(C2xC4)320,763
(C22×C10).141(C2×C4) = C24.19D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).141(C2xC4)320,848
(C22×C10).142(C2×C4) = (D4×C10).24C4φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).142(C2xC4)320,861
(C22×C10).143(C2×C4) = (D4×C10).29C4φ: C2×C4/C2C22 ⊆ Aut C22×C10804(C2^2xC10).143(C2xC4)320,864
(C22×C10).144(C2×C4) = C2×C23.11D10φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).144(C2xC4)320,1152
(C22×C10).145(C2×C4) = C2×D5×M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C1080(C2^2xC10).145(C2xC4)320,1415
(C22×C10).146(C2×C4) = C2×D20.2C4φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).146(C2xC4)320,1416
(C22×C10).147(C2×C4) = C40.47C23φ: C2×C4/C2C22 ⊆ Aut C22×C10804(C2^2xC10).147(C2xC4)320,1417
(C22×C10).148(C2×C4) = C2×D4.Dic5φ: C2×C4/C2C22 ⊆ Aut C22×C10160(C2^2xC10).148(C2xC4)320,1490
(C22×C10).149(C2×C4) = C20.76C24φ: C2×C4/C2C22 ⊆ Aut C22×C10804(C2^2xC10).149(C2xC4)320,1491
(C22×C10).150(C2×C4) = C5×C23.8Q8φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).150(C2xC4)320,886
(C22×C10).151(C2×C4) = C5×C82M4(2)φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).151(C2xC4)320,906
(C22×C10).152(C2×C4) = C5×C42.6C22φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).152(C2xC4)320,925
(C22×C10).153(C2×C4) = D4×C40φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).153(C2xC4)320,935
(C22×C10).154(C2×C4) = C10×C8○D4φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).154(C2xC4)320,1569
(C22×C10).155(C2×C4) = (C2×C40)⋊15C4φ: C2×C4/C4C2 ⊆ Aut C22×C10320(C2^2xC10).155(C2xC4)320,108
(C22×C10).156(C2×C4) = C2×C8×Dic5φ: C2×C4/C4C2 ⊆ Aut C22×C10320(C2^2xC10).156(C2xC4)320,725
(C22×C10).157(C2×C4) = C2×C20.8Q8φ: C2×C4/C4C2 ⊆ Aut C22×C10320(C2^2xC10).157(C2xC4)320,726
(C22×C10).158(C2×C4) = C2×C408C4φ: C2×C4/C4C2 ⊆ Aut C22×C10320(C2^2xC10).158(C2xC4)320,727
(C22×C10).159(C2×C4) = C20.42C42φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).159(C2xC4)320,728
(C22×C10).160(C2×C4) = C20.65(C4⋊C4)φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).160(C2xC4)320,729
(C22×C10).161(C2×C4) = C2×D101C8φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).161(C2xC4)320,735
(C22×C10).162(C2×C4) = C8×C5⋊D4φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).162(C2xC4)320,736
(C22×C10).163(C2×C4) = (C22×C8)⋊D5φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).163(C2xC4)320,737
(C22×C10).164(C2×C4) = C4032D4φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).164(C2xC4)320,738
(C22×C10).165(C2×C4) = C2×C10.10C42φ: C2×C4/C4C2 ⊆ Aut C22×C10320(C2^2xC10).165(C2xC4)320,835
(C22×C10).166(C2×C4) = C4×C23.D5φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).166(C2xC4)320,836
(C22×C10).167(C2×C4) = C24.62D10φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).167(C2xC4)320,837
(C22×C10).168(C2×C4) = C24.65D10φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).168(C2xC4)320,840
(C22×C10).169(C2×C4) = D5×C22×C8φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).169(C2xC4)320,1408
(C22×C10).170(C2×C4) = C22×C8⋊D5φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).170(C2xC4)320,1409
(C22×C10).171(C2×C4) = C2×D20.3C4φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).171(C2xC4)320,1410
(C22×C10).172(C2×C4) = C22×C10.D4φ: C2×C4/C4C2 ⊆ Aut C22×C10320(C2^2xC10).172(C2xC4)320,1455
(C22×C10).173(C2×C4) = C22×D10⋊C4φ: C2×C4/C4C2 ⊆ Aut C22×C10160(C2^2xC10).173(C2xC4)320,1459
(C22×C10).174(C2×C4) = C5×C23⋊C8φ: C2×C4/C22C2 ⊆ Aut C22×C1080(C2^2xC10).174(C2xC4)320,128
(C22×C10).175(C2×C4) = C5×C22.M4(2)φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).175(C2xC4)320,129
(C22×C10).176(C2×C4) = C5×C22.C42φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).176(C2xC4)320,148
(C22×C10).177(C2×C4) = C22⋊C4×C20φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).177(C2xC4)320,878
(C22×C10).178(C2×C4) = C5×C243C4φ: C2×C4/C22C2 ⊆ Aut C22×C1080(C2^2xC10).178(C2xC4)320,880
(C22×C10).179(C2×C4) = C5×C23.7Q8φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).179(C2xC4)320,881
(C22×C10).180(C2×C4) = C5×C23.34D4φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).180(C2xC4)320,882
(C22×C10).181(C2×C4) = M4(2)×C20φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).181(C2xC4)320,905
(C22×C10).182(C2×C4) = C10×C22⋊C8φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).182(C2xC4)320,907
(C22×C10).183(C2×C4) = C5×C24.4C4φ: C2×C4/C22C2 ⊆ Aut C22×C1080(C2^2xC10).183(C2xC4)320,908
(C22×C10).184(C2×C4) = C10×C4.10D4φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).184(C2xC4)320,913
(C22×C10).185(C2×C4) = C5×C4⋊M4(2)φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).185(C2xC4)320,924
(C22×C10).186(C2×C4) = C5×C42.12C4φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).186(C2xC4)320,932
(C22×C10).187(C2×C4) = C5×C42.6C4φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).187(C2xC4)320,933
(C22×C10).188(C2×C4) = C10×C42⋊C2φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).188(C2xC4)320,1516
(C22×C10).189(C2×C4) = M4(2)×C2×C10φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).189(C2xC4)320,1568
(C22×C10).190(C2×C4) = (C2×C20)⋊8C8φ: C2×C4/C22C2 ⊆ Aut C22×C10320(C2^2xC10).190(C2xC4)320,82
(C22×C10).191(C2×C4) = C24.Dic5φ: C2×C4/C22C2 ⊆ Aut C22×C1080(C2^2xC10).191(C2xC4)320,83
(C22×C10).192(C2×C4) = (C2×C20)⋊C8φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).192(C2xC4)320,86
(C22×C10).193(C2×C4) = (C2×C20).Q8φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).193(C2xC4)320,88
(C22×C10).194(C2×C4) = C2×C4×C52C8φ: C2×C4/C22C2 ⊆ Aut C22×C10320(C2^2xC10).194(C2xC4)320,547
(C22×C10).195(C2×C4) = C2×C42.D5φ: C2×C4/C22C2 ⊆ Aut C22×C10320(C2^2xC10).195(C2xC4)320,548
(C22×C10).196(C2×C4) = C4×C4.Dic5φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).196(C2xC4)320,549
(C22×C10).197(C2×C4) = C2×C203C8φ: C2×C4/C22C2 ⊆ Aut C22×C10320(C2^2xC10).197(C2xC4)320,550
(C22×C10).198(C2×C4) = C2013M4(2)φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).198(C2xC4)320,551
(C22×C10).199(C2×C4) = C42.6Dic5φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).199(C2xC4)320,552
(C22×C10).200(C2×C4) = C42.7Dic5φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).200(C2xC4)320,553
(C22×C10).201(C2×C4) = C2×C20.55D4φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).201(C2xC4)320,833
(C22×C10).202(C2×C4) = C24.4Dic5φ: C2×C4/C22C2 ⊆ Aut C22×C1080(C2^2xC10).202(C2xC4)320,834
(C22×C10).203(C2×C4) = C24.63D10φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).203(C2xC4)320,838
(C22×C10).204(C2×C4) = C24.64D10φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).204(C2xC4)320,839
(C22×C10).205(C2×C4) = C2×C20.10D4φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).205(C2xC4)320,853
(C22×C10).206(C2×C4) = C25.2D5φ: C2×C4/C22C2 ⊆ Aut C22×C1080(C2^2xC10).206(C2xC4)320,874
(C22×C10).207(C2×C4) = C23×C52C8φ: C2×C4/C22C2 ⊆ Aut C22×C10320(C2^2xC10).207(C2xC4)320,1452
(C22×C10).208(C2×C4) = C22×C4.Dic5φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).208(C2xC4)320,1453
(C22×C10).209(C2×C4) = C22×C4×Dic5φ: C2×C4/C22C2 ⊆ Aut C22×C10320(C2^2xC10).209(C2xC4)320,1454
(C22×C10).210(C2×C4) = C22×C4⋊Dic5φ: C2×C4/C22C2 ⊆ Aut C22×C10320(C2^2xC10).210(C2xC4)320,1457
(C22×C10).211(C2×C4) = C2×C23.21D10φ: C2×C4/C22C2 ⊆ Aut C22×C10160(C2^2xC10).211(C2xC4)320,1458
(C22×C10).212(C2×C4) = C5×C22.7C42central extension (φ=1)320(C2^2xC10).212(C2xC4)320,141
(C22×C10).213(C2×C4) = C10×C2.C42central extension (φ=1)320(C2^2xC10).213(C2xC4)320,876
(C22×C10).214(C2×C4) = C10×C8⋊C4central extension (φ=1)320(C2^2xC10).214(C2xC4)320,904
(C22×C10).215(C2×C4) = C10×C4⋊C8central extension (φ=1)320(C2^2xC10).215(C2xC4)320,923
(C22×C10).216(C2×C4) = C4⋊C4×C2×C10central extension (φ=1)320(C2^2xC10).216(C2xC4)320,1515

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