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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C2×F5

Direct product G=N×Q with N=C2×C4 and Q=C2×F5
dρLabelID
C22×C4×F580C2^2xC4xF5320,1590

Semidirect products G=N:Q with N=C2×C4 and Q=C2×F5
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C2×F5) = (C2×D4)⋊7F5φ: C2×F5/D5 → C4 ⊆ Aut C2×C4408+(C2xC4):1(C2xF5)320,1108
(C2×C4)⋊2(C2×F5) = D10⋊(C4⋊C4)φ: C2×F5/D5 → C22 ⊆ Aut C2×C440(C2xC4):2(C2xF5)320,1037
(C2×C4)⋊3(C2×F5) = (C2×F5)⋊D4φ: C2×F5/D5 → C22 ⊆ Aut C2×C440(C2xC4):3(C2xF5)320,1117
(C2×C4)⋊4(C2×F5) = D10.C24φ: C2×F5/D5 → C22 ⊆ Aut C2×C4408+(C2xC4):4(C2xF5)320,1596
(C2×C4)⋊5(C2×F5) = D5.2+ 1+4φ: C2×F5/D5 → C22 ⊆ Aut C2×C4408(C2xC4):5(C2xF5)320,1604
(C2×C4)⋊6(C2×F5) = C2×D10.D4φ: C2×F5/C10 → C4 ⊆ Aut C2×C480(C2xC4):6(C2xF5)320,1082
(C2×C4)⋊7(C2×F5) = C22⋊C4×F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C440(C2xC4):7(C2xF5)320,1036
(C2×C4)⋊8(C2×F5) = C2×D4×F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C440(C2xC4):8(C2xF5)320,1595
(C2×C4)⋊9(C2×F5) = C4○D4×F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C4408(C2xC4):9(C2xF5)320,1603
(C2×C4)⋊10(C2×F5) = C2×D10.3Q8φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4):10(C2xF5)320,1100
(C2×C4)⋊11(C2×F5) = C22×C4⋊F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4):11(C2xF5)320,1591
(C2×C4)⋊12(C2×F5) = C2×D10.C23φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4):12(C2xF5)320,1592

Non-split extensions G=N.Q with N=C2×C4 and Q=C2×F5
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C2×F5) = (C2×D4)⋊F5φ: C2×F5/D5 → C4 ⊆ Aut C2×C4408+(C2xC4).1(C2xF5)320,260
(C2×C4).2(C2×F5) = (D4×C10).C4φ: C2×F5/D5 → C4 ⊆ Aut C2×C4808-(C2xC4).2(C2xF5)320,261
(C2×C4).3(C2×F5) = (C2×Q8)⋊F5φ: C2×F5/D5 → C4 ⊆ Aut C2×C4808+(C2xC4).3(C2xF5)320,266
(C2×C4).4(C2×F5) = (Q8×C10).C4φ: C2×F5/D5 → C4 ⊆ Aut C2×C4808-(C2xC4).4(C2xF5)320,267
(C2×C4).5(C2×F5) = (C2×D4).9F5φ: C2×F5/D5 → C4 ⊆ Aut C2×C4808-(C2xC4).5(C2xF5)320,1115
(C2×C4).6(C2×F5) = (C2×Q8)⋊7F5φ: C2×F5/D5 → C4 ⊆ Aut C2×C4808+(C2xC4).6(C2xF5)320,1123
(C2×C4).7(C2×F5) = (C2×Q8).7F5φ: C2×F5/D5 → C4 ⊆ Aut C2×C4808-(C2xC4).7(C2xF5)320,1127
(C2×C4).8(C2×F5) = D10.1D8φ: C2×F5/D5 → C22 ⊆ Aut C2×C480(C2xC4).8(C2xF5)320,206
(C2×C4).9(C2×F5) = D10.1Q16φ: C2×F5/D5 → C22 ⊆ Aut C2×C480(C2xC4).9(C2xF5)320,207
(C2×C4).10(C2×F5) = C10.C4≀C2φ: C2×F5/D5 → C22 ⊆ Aut C2×C4320(C2xC4).10(C2xF5)320,208
(C2×C4).11(C2×F5) = Dic5.D8φ: C2×F5/D5 → C22 ⊆ Aut C2×C4320(C2xC4).11(C2xF5)320,211
(C2×C4).12(C2×F5) = M4(2)⋊F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4408(C2xC4).12(C2xF5)320,237
(C2×C4).13(C2×F5) = M4(2)⋊4F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808(C2xC4).13(C2xF5)320,240
(C2×C4).14(C2×F5) = D10.SD16φ: C2×F5/D5 → C22 ⊆ Aut C2×C480(C2xC4).14(C2xF5)320,258
(C2×C4).15(C2×F5) = (C2×D4).F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).15(C2xF5)320,259
(C2×C4).16(C2×F5) = Dic5.SD16φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).16(C2xF5)320,263
(C2×C4).17(C2×F5) = D10.Q16φ: C2×F5/D5 → C22 ⊆ Aut C2×C480(C2xC4).17(C2xF5)320,264
(C2×C4).18(C2×F5) = (C2×Q8).F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).18(C2xF5)320,265
(C2×C4).19(C2×F5) = Dic5.Q16φ: C2×F5/D5 → C22 ⊆ Aut C2×C4320(C2xC4).19(C2xF5)320,269
(C2×C4).20(C2×F5) = C5⋊C8⋊D4φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).20(C2xF5)320,1031
(C2×C4).21(C2×F5) = D10⋊M4(2)φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).21(C2xF5)320,1032
(C2×C4).22(C2×F5) = Dic5⋊M4(2)φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).22(C2xF5)320,1033
(C2×C4).23(C2×F5) = C20⋊C8⋊C2φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).23(C2xF5)320,1034
(C2×C4).24(C2×F5) = C10.(C4×D4)φ: C2×F5/D5 → C22 ⊆ Aut C2×C480(C2xC4).24(C2xF5)320,1038
(C2×C4).25(C2×F5) = D10⋊2M4(2)φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).25(C2xF5)320,1042
(C2×C4).26(C2×F5) = C20⋊M4(2)φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).26(C2xF5)320,1043
(C2×C4).27(C2×F5) = Dic5.M4(2)φ: C2×F5/D5 → C22 ⊆ Aut C2×C4320(C2xC4).27(C2xF5)320,1045
(C2×C4).28(C2×F5) = C4⋊C4.9F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).28(C2xF5)320,1046
(C2×C4).29(C2×F5) = C20.M4(2)φ: C2×F5/D5 → C22 ⊆ Aut C2×C4320(C2xC4).29(C2xF5)320,1047
(C2×C4).30(C2×F5) = C4⋊C4⋊5F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C480(C2xC4).30(C2xF5)320,1049
(C2×C4).31(C2×F5) = M4(2)⋊1F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4408(C2xC4).31(C2xF5)320,1065
(C2×C4).32(C2×F5) = M4(2).1F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808(C2xC4).32(C2xF5)320,1067
(C2×C4).33(C2×F5) = (D4×C10)⋊C4φ: C2×F5/D5 → C22 ⊆ Aut C2×C4408+(C2xC4).33(C2xF5)320,1105
(C2×C4).34(C2×F5) = (C2×D4)⋊6F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808-(C2xC4).34(C2xF5)320,1107
(C2×C4).35(C2×F5) = (C2×D4)⋊8F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808-(C2xC4).35(C2xF5)320,1109
(C2×C4).36(C2×F5) = C5⋊C8⋊7D4φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).36(C2xF5)320,1111
(C2×C4).37(C2×F5) = (C2×D4).7F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).37(C2xF5)320,1113
(C2×C4).38(C2×F5) = D5⋊(C4.D4)φ: C2×F5/D5 → C22 ⊆ Aut C2×C4408+(C2xC4).38(C2xF5)320,1116
(C2×C4).39(C2×F5) = (C2×Q8)⋊4F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808-(C2xC4).39(C2xF5)320,1120
(C2×C4).40(C2×F5) = (C2×Q8)⋊6F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808+(C2xC4).40(C2xF5)320,1122
(C2×C4).41(C2×F5) = (C2×Q8).5F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4160(C2xC4).41(C2xF5)320,1125
(C2×C4).42(C2×F5) = C20.6M4(2)φ: C2×F5/D5 → C22 ⊆ Aut C2×C4320(C2xC4).42(C2xF5)320,1126
(C2×C4).43(C2×F5) = C4○D4⋊F5φ: C2×F5/D5 → C22 ⊆ Aut C2×C4408(C2xC4).43(C2xF5)320,1131
(C2×C4).44(C2×F5) = D4⋊F5⋊C2φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808(C2xC4).44(C2xF5)320,1133
(C2×C4).45(C2×F5) = Dic5.C24φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808-(C2xC4).45(C2xF5)320,1594
(C2×C4).46(C2×F5) = Dic5.20C24φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808+(C2xC4).46(C2xF5)320,1598
(C2×C4).47(C2×F5) = D5.2- 1+4φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808-(C2xC4).47(C2xF5)320,1600
(C2×C4).48(C2×F5) = Dic5.22C24φ: C2×F5/D5 → C22 ⊆ Aut C2×C4808(C2xC4).48(C2xF5)320,1602
(C2×C4).49(C2×F5) = C42⋊F5φ: C2×F5/C10 → C4 ⊆ Aut C2×C4404+(C2xC4).49(C2xF5)320,191
(C2×C4).50(C2×F5) = C42⋊2F5φ: C2×F5/C10 → C4 ⊆ Aut C2×C4804(C2xC4).50(C2xF5)320,192
(C2×C4).51(C2×F5) = C42.F5φ: C2×F5/C10 → C4 ⊆ Aut C2×C4804-(C2xC4).51(C2xF5)320,193
(C2×C4).52(C2×F5) = C42.2F5φ: C2×F5/C10 → C4 ⊆ Aut C2×C4804(C2xC4).52(C2xF5)320,194
(C2×C4).53(C2×F5) = C23⋊F5⋊5C2φ: C2×F5/C10 → C4 ⊆ Aut C2×C4804(C2xC4).53(C2xF5)320,1083
(C2×C4).54(C2×F5) = C2×Dic5.D4φ: C2×F5/C10 → C4 ⊆ Aut C2×C4160(C2xC4).54(C2xF5)320,1098
(C2×C4).55(C2×F5) = (C4×D5).D4φ: C2×F5/C10 → C4 ⊆ Aut C2×C4804(C2xC4).55(C2xF5)320,1099
(C2×C4).56(C2×F5) = Dic5.C42φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).56(C2xF5)320,1029
(C2×C4).57(C2×F5) = C5⋊C8⋊8D4φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).57(C2xF5)320,1030
(C2×C4).58(C2×F5) = C23.(C2×F5)φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).58(C2xF5)320,1035
(C2×C4).59(C2×F5) = D10.C42φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).59(C2xF5)320,1039
(C2×C4).60(C2×F5) = D20⋊2C8φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).60(C2xF5)320,1040
(C2×C4).61(C2×F5) = Dic10⋊C8φ: C2×F5/F5 → C2 ⊆ Aut C2×C4320(C2xC4).61(C2xF5)320,1041
(C2×C4).62(C2×F5) = C4⋊C4.7F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).62(C2xF5)320,1044
(C2×C4).63(C2×F5) = C4⋊C4×F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).63(C2xF5)320,1048
(C2×C4).64(C2×F5) = D20⋊C8φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).64(C2xF5)320,209
(C2×C4).65(C2×F5) = Dic10⋊1C8φ: C2×F5/F5 → C2 ⊆ Aut C2×C4320(C2xC4).65(C2xF5)320,210
(C2×C4).66(C2×F5) = D10.18D8φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).66(C2xF5)320,212
(C2×C4).67(C2×F5) = C20.C42φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).67(C2xF5)320,213
(C2×C4).68(C2×F5) = D20.C8φ: C2×F5/F5 → C2 ⊆ Aut C2×C41608(C2xC4).68(C2xF5)320,236
(C2×C4).69(C2×F5) = M4(2)⋊3F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C4408(C2xC4).69(C2xF5)320,238
(C2×C4).70(C2×F5) = M4(2).F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C4808(C2xC4).70(C2xF5)320,239
(C2×C4).71(C2×F5) = Dic5.23D8φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).71(C2xF5)320,262
(C2×C4).72(C2×F5) = Dic5.12Q16φ: C2×F5/F5 → C2 ⊆ Aut C2×C4320(C2xC4).72(C2xF5)320,268
(C2×C4).73(C2×F5) = D4.(C5⋊C8)φ: C2×F5/F5 → C2 ⊆ Aut C2×C41608(C2xC4).73(C2xF5)320,270
(C2×C4).74(C2×F5) = C20⋊(C4⋊C4)φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).74(C2xF5)320,1050
(C2×C4).75(C2×F5) = Dic10.C8φ: C2×F5/F5 → C2 ⊆ Aut C2×C41608(C2xC4).75(C2xF5)320,1063
(C2×C4).76(C2×F5) = M4(2)×F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C4408(C2xC4).76(C2xF5)320,1064
(C2×C4).77(C2×F5) = M4(2)⋊5F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C4808(C2xC4).77(C2xF5)320,1066
(C2×C4).78(C2×F5) = C2×D20⋊C4φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).78(C2xF5)320,1104
(C2×C4).79(C2×F5) = C2×D4⋊F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).79(C2xF5)320,1106
(C2×C4).80(C2×F5) = D4×C5⋊C8φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).80(C2xF5)320,1110
(C2×C4).81(C2×F5) = C20⋊2M4(2)φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).81(C2xF5)320,1112
(C2×C4).82(C2×F5) = (C2×D4).8F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).82(C2xF5)320,1114
(C2×C4).83(C2×F5) = C2.(D4×F5)φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).83(C2xF5)320,1118
(C2×C4).84(C2×F5) = C2×Q8⋊F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).84(C2xF5)320,1119
(C2×C4).85(C2×F5) = C2×Q8⋊2F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).85(C2xF5)320,1121
(C2×C4).86(C2×F5) = Q8×C5⋊C8φ: C2×F5/F5 → C2 ⊆ Aut C2×C4320(C2xC4).86(C2xF5)320,1124
(C2×C4).87(C2×F5) = (C2×F5)⋊Q8φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).87(C2xF5)320,1128
(C2×C4).88(C2×F5) = C5⋊C16.C22φ: C2×F5/F5 → C2 ⊆ Aut C2×C41608(C2xC4).88(C2xF5)320,1129
(C2×C4).89(C2×F5) = D5⋊C4≀C2φ: C2×F5/F5 → C2 ⊆ Aut C2×C4408(C2xC4).89(C2xF5)320,1130
(C2×C4).90(C2×F5) = C4○D20⋊C4φ: C2×F5/F5 → C2 ⊆ Aut C2×C4808(C2xC4).90(C2xF5)320,1132
(C2×C4).91(C2×F5) = C2×D4.F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).91(C2xF5)320,1593
(C2×C4).92(C2×F5) = C2×Q8.F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C4160(C2xC4).92(C2xF5)320,1597
(C2×C4).93(C2×F5) = C2×Q8×F5φ: C2×F5/F5 → C2 ⊆ Aut C2×C480(C2xC4).93(C2xF5)320,1599
(C2×C4).94(C2×F5) = Dic5.21C24φ: C2×F5/F5 → C2 ⊆ Aut C2×C4808(C2xC4).94(C2xF5)320,1601
(C2×C4).95(C2×F5) = C42.5F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).95(C2xF5)320,1014
(C2×C4).96(C2×F5) = C42.6F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).96(C2xF5)320,1016
(C2×C4).97(C2×F5) = C42.12F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).97(C2xF5)320,1018
(C2×C4).98(C2×F5) = C42.14F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).98(C2xF5)320,1020
(C2×C4).99(C2×F5) = C42.15F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).99(C2xF5)320,1021
(C2×C4).100(C2×F5) = C42.7F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).100(C2xF5)320,1022
(C2×C4).101(C2×F5) = C42⋊9F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).101(C2xF5)320,1027
(C2×C4).102(C2×F5) = C42⋊5F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).102(C2xF5)320,1028
(C2×C4).103(C2×F5) = C2×C10.C42φ: C2×F5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).103(C2xF5)320,1087
(C2×C4).104(C2×F5) = C4×C22.F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).104(C2xF5)320,1088
(C2×C4).105(C2×F5) = C2×D10⋊C8φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).105(C2xF5)320,1089
(C2×C4).106(C2×F5) = C2×Dic5⋊C8φ: C2×F5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).106(C2xF5)320,1090
(C2×C4).107(C2×F5) = D10.11M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).107(C2xF5)320,1091
(C2×C4).108(C2×F5) = C20.34M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).108(C2xF5)320,1092
(C2×C4).109(C2×F5) = D10⋊9M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).109(C2xF5)320,1093
(C2×C4).110(C2×F5) = Dic5.13M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).110(C2xF5)320,1095
(C2×C4).111(C2×F5) = C20.30M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).111(C2xF5)320,1097
(C2×C4).112(C2×F5) = (C22×C4)⋊7F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).112(C2xF5)320,1102
(C2×C4).113(C2×F5) = C42.3F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).113(C2xF5)320,198
(C2×C4).114(C2×F5) = C42.9F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).114(C2xF5)320,199
(C2×C4).115(C2×F5) = C42⋊6F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4404(C2xC4).115(C2xF5)320,200
(C2×C4).116(C2×F5) = C42⋊3F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).116(C2xF5)320,201
(C2×C4).117(C2×F5) = C40⋊2C8φ: C2×F5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).117(C2xF5)320,219
(C2×C4).118(C2×F5) = C40⋊1C8φ: C2×F5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).118(C2xF5)320,220
(C2×C4).119(C2×F5) = C20.26M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).119(C2xF5)320,221
(C2×C4).120(C2×F5) = Dic5.13D8φ: C2×F5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).120(C2xF5)320,222
(C2×C4).121(C2×F5) = C40.1C8φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).121(C2xF5)320,227
(C2×C4).122(C2×F5) = C20.23C42φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).122(C2xF5)320,228
(C2×C4).123(C2×F5) = C20.10M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).123(C2xF5)320,229
(C2×C4).124(C2×F5) = D10.10D8φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).124(C2xF5)320,231
(C2×C4).125(C2×F5) = (C2×C8)⋊F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).125(C2xF5)320,232
(C2×C4).126(C2×F5) = C20.24C42φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).126(C2xF5)320,233
(C2×C4).127(C2×F5) = C20.10C42φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).127(C2xF5)320,234
(C2×C4).128(C2×F5) = C20.25C42φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).128(C2xF5)320,235
(C2×C4).129(C2×F5) = C20.29M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).129(C2xF5)320,250
(C2×C4).130(C2×F5) = C4×C4.F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).130(C2xF5)320,1015
(C2×C4).131(C2×F5) = C42.11F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).131(C2xF5)320,1017
(C2×C4).132(C2×F5) = C20⋊3M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).132(C2xF5)320,1019
(C2×C4).133(C2×F5) = C42⋊8F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).133(C2xF5)320,1026
(C2×C4).134(C2×F5) = D5⋊M5(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).134(C2xF5)320,1053
(C2×C4).135(C2×F5) = C20.12C42φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).135(C2xF5)320,1056
(C2×C4).136(C2×F5) = C2×C40⋊C4φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).136(C2xF5)320,1057
(C2×C4).137(C2×F5) = C2×D5.D8φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).137(C2xF5)320,1058
(C2×C4).138(C2×F5) = (C2×C8)⋊6F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).138(C2xF5)320,1059
(C2×C4).139(C2×F5) = C2×C40.C4φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).139(C2xF5)320,1060
(C2×C4).140(C2×F5) = C2×D10.Q8φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).140(C2xF5)320,1061
(C2×C4).141(C2×F5) = (C8×D5).C4φ: C2×F5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).141(C2xF5)320,1062
(C2×C4).142(C2×F5) = C2×C20⋊C8φ: C2×F5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).142(C2xF5)320,1085
(C2×C4).143(C2×F5) = D10⋊10M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).143(C2xF5)320,1094
(C2×C4).144(C2×F5) = C20⋊8M4(2)φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).144(C2xF5)320,1096
(C2×C4).145(C2×F5) = D10⋊6(C4⋊C4)φ: C2×F5/D10 → C2 ⊆ Aut C2×C480(C2xC4).145(C2xF5)320,1103
(C2×C4).146(C2×F5) = C22×C4.F5φ: C2×F5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).146(C2xF5)320,1588
(C2×C4).147(C2×F5) = C4×C5⋊C16central extension (φ=1)320(C2xC4).147(C2xF5)320,195
(C2×C4).148(C2×F5) = C20⋊C16central extension (φ=1)320(C2xC4).148(C2xF5)320,196
(C2×C4).149(C2×F5) = C42.4F5central extension (φ=1)320(C2xC4).149(C2xF5)320,197
(C2×C4).150(C2×F5) = C8×C5⋊C8central extension (φ=1)320(C2xC4).150(C2xF5)320,216
(C2×C4).151(C2×F5) = C40⋊C8central extension (φ=1)320(C2xC4).151(C2xF5)320,217
(C2×C4).152(C2×F5) = C20.31M4(2)central extension (φ=1)320(C2xC4).152(C2xF5)320,218
(C2×C4).153(C2×F5) = Dic5⋊C16central extension (φ=1)320(C2xC4).153(C2xF5)320,223
(C2×C4).154(C2×F5) = C40.C8central extension (φ=1)320(C2xC4).154(C2xF5)320,224
(C2×C4).155(C2×F5) = D10⋊C16central extension (φ=1)160(C2xC4).155(C2xF5)320,225
(C2×C4).156(C2×F5) = C10.M5(2)central extension (φ=1)320(C2xC4).156(C2xF5)320,226
(C2×C4).157(C2×F5) = D10.3M4(2)central extension (φ=1)80(C2xC4).157(C2xF5)320,230
(C2×C4).158(C2×F5) = C10.6M5(2)central extension (φ=1)160(C2xC4).158(C2xF5)320,249
(C2×C4).159(C2×F5) = C4×D5⋊C8central extension (φ=1)160(C2xC4).159(C2xF5)320,1013
(C2×C4).160(C2×F5) = C42×F5central extension (φ=1)80(C2xC4).160(C2xF5)320,1023
(C2×C4).161(C2×F5) = C42⋊4F5central extension (φ=1)80(C2xC4).161(C2xF5)320,1024
(C2×C4).162(C2×F5) = C4×C4⋊F5central extension (φ=1)80(C2xC4).162(C2xF5)320,1025
(C2×C4).163(C2×F5) = C2×D5⋊C16central extension (φ=1)160(C2xC4).163(C2xF5)320,1051
(C2×C4).164(C2×F5) = C2×C8.F5central extension (φ=1)160(C2xC4).164(C2xF5)320,1052
(C2×C4).165(C2×F5) = C2×C8×F5central extension (φ=1)80(C2xC4).165(C2xF5)320,1054
(C2×C4).166(C2×F5) = C2×C8⋊F5central extension (φ=1)80(C2xC4).166(C2xF5)320,1055
(C2×C4).167(C2×F5) = C22×C5⋊C16central extension (φ=1)320(C2xC4).167(C2xF5)320,1080
(C2×C4).168(C2×F5) = C2×C20.C8central extension (φ=1)160(C2xC4).168(C2xF5)320,1081
(C2×C4).169(C2×F5) = C2×C4×C5⋊C8central extension (φ=1)320(C2xC4).169(C2xF5)320,1084
(C2×C4).170(C2×F5) = Dic5.12M4(2)central extension (φ=1)160(C2xC4).170(C2xF5)320,1086
(C2×C4).171(C2×F5) = C4×C22⋊F5central extension (φ=1)80(C2xC4).171(C2xF5)320,1101
(C2×C4).172(C2×F5) = C22×D5⋊C8central extension (φ=1)160(C2xC4).172(C2xF5)320,1587
(C2×C4).173(C2×F5) = C2×D5⋊M4(2)central extension (φ=1)80(C2xC4).173(C2xF5)320,1589

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