Extensions 1→N→G→Q→1 with N=C2×C28 and Q=C2×C4

Direct product G=N×Q with N=C2×C28 and Q=C2×C4
dρLabelID
C22×C4×C28448C2^2xC4xC28448,1294

Semidirect products G=N:Q with N=C2×C28 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C28)⋊(C2×C4) = D7×C23⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C28568+(C2xC28):(C2xC4)448,277
(C2×C28)⋊2(C2×C4) = C2×C23⋊Dic7φ: C2×C4/C2C4 ⊆ Aut C2×C28112(C2xC28):2(C2xC4)448,753
(C2×C28)⋊3(C2×C4) = C14×C23⋊C4φ: C2×C4/C2C4 ⊆ Aut C2×C28112(C2xC28):3(C2xC4)448,817
(C2×C28)⋊4(C2×C4) = (C2×C4)⋊9D28φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):4(C2xC4)448,199
(C2×C28)⋊5(C2×C4) = D14⋊C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):5(C2xC4)448,202
(C2×C28)⋊6(C2×C4) = C24.47D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):6(C2xC4)448,484
(C2×C28)⋊7(C2×C4) = C2×D7×C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):7(C2xC4)448,954
(C2×C28)⋊8(C2×C4) = C2×D28⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):8(C2xC4)448,956
(C2×C28)⋊9(C2×C4) = C14.82+ 1+4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):9(C2xC4)448,957
(C2×C28)⋊10(C2×C4) = D7×C42⋊C2φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28):10(C2xC4)448,973
(C2×C28)⋊11(C2×C4) = C427D14φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28):11(C2xC4)448,974
(C2×C28)⋊12(C2×C4) = C42.188D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):12(C2xC4)448,975
(C2×C28)⋊13(C2×C4) = C42.91D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):13(C2xC4)448,976
(C2×C28)⋊14(C2×C4) = C2×D4×Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):14(C2xC4)448,1248
(C2×C28)⋊15(C2×C4) = C24.38D14φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28):15(C2xC4)448,1251
(C2×C28)⋊16(C2×C4) = C4○D4×Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):16(C2xC4)448,1279
(C2×C28)⋊17(C2×C4) = C14.1062- 1+4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):17(C2xC4)448,1280
(C2×C28)⋊18(C2×C4) = D7×C2.C42φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):18(C2xC4)448,197
(C2×C28)⋊19(C2×C4) = D14⋊C42φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):19(C2xC4)448,200
(C2×C28)⋊20(C2×C4) = C22⋊C4×Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):20(C2xC4)448,475
(C2×C28)⋊21(C2×C4) = D14⋊C46C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):21(C2xC4)448,523
(C2×C28)⋊22(C2×C4) = C24.18D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):22(C2xC4)448,754
(C2×C28)⋊23(C2×C4) = C7×C23.8Q8φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):23(C2xC4)448,793
(C2×C28)⋊24(C2×C4) = C7×C23.23D4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):24(C2xC4)448,794
(C2×C28)⋊25(C2×C4) = C7×C22.11C24φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28):25(C2xC4)448,1301
(C2×C28)⋊26(C2×C4) = C7×C23.33C23φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28):26(C2xC4)448,1303
(C2×C28)⋊27(C2×C4) = C4×D14⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28):27(C2xC4)448,472
(C2×C28)⋊28(C2×C4) = C22⋊C4×C28φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28):28(C2xC4)448,785
(C2×C28)⋊29(C2×C4) = C2×C4×D28φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28):29(C2xC4)448,926
(C2×C28)⋊30(C2×C4) = C4×C4○D28φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28):30(C2xC4)448,927
(C2×C28)⋊31(C2×C4) = D7×C2×C42φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28):31(C2xC4)448,924
(C2×C28)⋊32(C2×C4) = D4×C2×C28φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28):32(C2xC4)448,1298
(C2×C28)⋊33(C2×C4) = C4○D4×C28φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28):33(C2xC4)448,1300
(C2×C28)⋊34(C2×C4) = C2×C14.C42φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28):34(C2xC4)448,742
(C2×C28)⋊35(C2×C4) = C14×C2.C42φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28):35(C2xC4)448,783
(C2×C28)⋊36(C2×C4) = C22×C4⋊Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28):36(C2xC4)448,1238
(C2×C28)⋊37(C2×C4) = C2×C23.21D14φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28):37(C2xC4)448,1239
(C2×C28)⋊38(C2×C4) = C22×C4×Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28):38(C2xC4)448,1235
(C2×C28)⋊39(C2×C4) = C4⋊C4×C2×C14φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28):39(C2xC4)448,1296
(C2×C28)⋊40(C2×C4) = C14×C42⋊C2φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28):40(C2xC4)448,1297

Non-split extensions G=N.Q with N=C2×C28 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C28).1(C2×C4) = C23.D28φ: C2×C4/C1C2×C4 ⊆ Aut C2×C281128-(C2xC28).1(C2xC4)448,30
(C2×C28).2(C2×C4) = C23.2D28φ: C2×C4/C1C2×C4 ⊆ Aut C2×C28568+(C2xC28).2(C2xC4)448,31
(C2×C28).3(C2×C4) = (C2×C4).D28φ: C2×C4/C1C2×C4 ⊆ Aut C2×C281128+(C2xC28).3(C2xC4)448,34
(C2×C28).4(C2×C4) = (C2×Q8).D14φ: C2×C4/C1C2×C4 ⊆ Aut C2×C281128-(C2xC28).4(C2xC4)448,35
(C2×C28).5(C2×C4) = C23⋊C45D7φ: C2×C4/C1C2×C4 ⊆ Aut C2×C281128-(C2xC28).5(C2xC4)448,274
(C2×C28).6(C2×C4) = D7×C4.10D4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C281128-(C2xC28).6(C2xC4)448,284
(C2×C28).7(C2×C4) = M4(2).21D14φ: C2×C4/C1C2×C4 ⊆ Aut C2×C281128+(C2xC28).7(C2xC4)448,285
(C2×C28).8(C2×C4) = C422Dic7φ: C2×C4/C2C4 ⊆ Aut C2×C281124(C2xC28).8(C2xC4)448,98
(C2×C28).9(C2×C4) = C42.Dic7φ: C2×C4/C2C4 ⊆ Aut C2×C281124(C2xC28).9(C2xC4)448,99
(C2×C28).10(C2×C4) = C423Dic7φ: C2×C4/C2C4 ⊆ Aut C2×C28564(C2xC28).10(C2xC4)448,102
(C2×C28).11(C2×C4) = C42.3Dic7φ: C2×C4/C2C4 ⊆ Aut C2×C281124(C2xC28).11(C2xC4)448,105
(C2×C28).12(C2×C4) = C7×C42⋊C4φ: C2×C4/C2C4 ⊆ Aut C2×C28564(C2xC28).12(C2xC4)448,157
(C2×C28).13(C2×C4) = C7×C423C4φ: C2×C4/C2C4 ⊆ Aut C2×C281124(C2xC28).13(C2xC4)448,158
(C2×C28).14(C2×C4) = C7×C42.C4φ: C2×C4/C2C4 ⊆ Aut C2×C281124(C2xC28).14(C2xC4)448,159
(C2×C28).15(C2×C4) = C7×C42.3C4φ: C2×C4/C2C4 ⊆ Aut C2×C281124(C2xC28).15(C2xC4)448,160
(C2×C28).16(C2×C4) = (D4×C14).16C4φ: C2×C4/C2C4 ⊆ Aut C2×C281124(C2xC28).16(C2xC4)448,771
(C2×C28).17(C2×C4) = C7×C23.C23φ: C2×C4/C2C4 ⊆ Aut C2×C281124(C2xC28).17(C2xC4)448,818
(C2×C28).18(C2×C4) = C14×C4.10D4φ: C2×C4/C2C4 ⊆ Aut C2×C28224(C2xC28).18(C2xC4)448,820
(C2×C28).19(C2×C4) = C7×M4(2).8C22φ: C2×C4/C2C4 ⊆ Aut C2×C281124(C2xC28).19(C2xC4)448,821
(C2×C28).20(C2×C4) = C14.C4≀C2φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).20(C2xC4)448,8
(C2×C28).21(C2×C4) = C4⋊Dic7⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).21(C2xC4)448,9
(C2×C28).22(C2×C4) = C42.D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).22(C2xC4)448,21
(C2×C28).23(C2×C4) = C42.2D14φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).23(C2xC4)448,22
(C2×C28).24(C2×C4) = C23.30D28φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).24(C2xC4)448,24
(C2×C28).25(C2×C4) = C22.2D56φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).25(C2xC4)448,27
(C2×C28).26(C2×C4) = C4.Dic28φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).26(C2xC4)448,38
(C2×C28).27(C2×C4) = C28.47D8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).27(C2xC4)448,39
(C2×C28).28(C2×C4) = C4.D56φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).28(C2xC4)448,42
(C2×C28).29(C2×C4) = C28.2D8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).29(C2xC4)448,43
(C2×C28).30(C2×C4) = (C2×C28)⋊Q8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).30(C2xC4)448,180
(C2×C28).31(C2×C4) = C14.(C4×Q8)φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).31(C2xC4)448,181
(C2×C28).32(C2×C4) = C4⋊Dic77C4φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).32(C2xC4)448,187
(C2×C28).33(C2×C4) = C4⋊Dic78C4φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).33(C2xC4)448,188
(C2×C28).34(C2×C4) = C14.(C4×D4)φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).34(C2xC4)448,189
(C2×C28).35(C2×C4) = C2.(C4×D28)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).35(C2xC4)448,204
(C2×C28).36(C2×C4) = C56⋊Q8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).36(C2xC4)448,235
(C2×C28).37(C2×C4) = C89D28φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).37(C2xC4)448,240
(C2×C28).38(C2×C4) = C56⋊C4⋊C2φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).38(C2xC4)448,254
(C2×C28).39(C2×C4) = D14⋊C8⋊C2φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).39(C2xC4)448,261
(C2×C28).40(C2×C4) = D142M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).40(C2xC4)448,262
(C2×C28).41(C2×C4) = Dic7⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).41(C2xC4)448,263
(C2×C28).42(C2×C4) = C42.27D14φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).42(C2xC4)448,362
(C2×C28).43(C2×C4) = D143M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).43(C2xC4)448,370
(C2×C28).44(C2×C4) = C42.30D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).44(C2xC4)448,373
(C2×C28).45(C2×C4) = C4⋊(C4⋊Dic7)φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).45(C2xC4)448,519
(C2×C28).46(C2×C4) = C28.53D8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).46(C2xC4)448,36
(C2×C28).47(C2×C4) = C28.39SD16φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).47(C2xC4)448,37
(C2×C28).48(C2×C4) = D282C8φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).48(C2xC4)448,40
(C2×C28).49(C2×C4) = Dic142C8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).49(C2xC4)448,41
(C2×C28).50(C2×C4) = C56.9Q8φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).50(C2xC4)448,68
(C2×C28).51(C2×C4) = C112⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).51(C2xC4)448,69
(C2×C28).52(C2×C4) = M5(2)⋊D7φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).52(C2xC4)448,71
(C2×C28).53(C2×C4) = Dic14.C8φ: C2×C4/C2C22 ⊆ Aut C2×C282244(C2xC28).53(C2xC4)448,72
(C2×C28).54(C2×C4) = C28.C42φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).54(C2xC4)448,86
(C2×C28).55(C2×C4) = C28.(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).55(C2xC4)448,87
(C2×C28).56(C2×C4) = C42⋊Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).56(C2xC4)448,88
(C2×C28).57(C2×C4) = C28.2C42φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).57(C2xC4)448,89
(C2×C28).58(C2×C4) = (C2×C28).Q8φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).58(C2xC4)448,90
(C2×C28).59(C2×C4) = C28.57D8φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).59(C2xC4)448,91
(C2×C28).60(C2×C4) = C28.26Q16φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).60(C2xC4)448,92
(C2×C28).61(C2×C4) = M4(2)⋊Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).61(C2xC4)448,111
(C2×C28).62(C2×C4) = C28.3C42φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).62(C2xC4)448,112
(C2×C28).63(C2×C4) = C23.9D28φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).63(C2xC4)448,114
(C2×C28).64(C2×C4) = C28.4C42φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).64(C2xC4)448,115
(C2×C28).65(C2×C4) = M4(2)⋊4Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).65(C2xC4)448,116
(C2×C28).66(C2×C4) = C28.21C42φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).66(C2xC4)448,117
(C2×C28).67(C2×C4) = C56.92D4φ: C2×C4/C2C22 ⊆ Aut C2×C282244(C2xC28).67(C2xC4)448,118
(C2×C28).68(C2×C4) = D7×C4⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).68(C2xC4)448,366
(C2×C28).69(C2×C4) = C42.200D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).69(C2xC4)448,367
(C2×C28).70(C2×C4) = C42.202D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).70(C2xC4)448,369
(C2×C28).71(C2×C4) = C28⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).71(C2xC4)448,371
(C2×C28).72(C2×C4) = D7×M5(2)φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).72(C2xC4)448,440
(C2×C28).73(C2×C4) = C16.12D14φ: C2×C4/C2C22 ⊆ Aut C2×C282244(C2xC28).73(C2xC4)448,441
(C2×C28).74(C2×C4) = C2×C28.Q8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).74(C2xC4)448,496
(C2×C28).75(C2×C4) = C2×C4.Dic14φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).75(C2xC4)448,497
(C2×C28).76(C2×C4) = C4.Dic7⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).76(C2xC4)448,498
(C2×C28).77(C2×C4) = C2×C14.D8φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).77(C2xC4)448,499
(C2×C28).78(C2×C4) = C4○D28⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).78(C2xC4)448,500
(C2×C28).79(C2×C4) = C2×C14.Q16φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).79(C2xC4)448,503
(C2×C28).80(C2×C4) = C28⋊(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).80(C2xC4)448,507
(C2×C28).81(C2×C4) = (C2×Dic7)⋊6Q8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).81(C2xC4)448,508
(C2×C28).82(C2×C4) = C4⋊C4×Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).82(C2xC4)448,509
(C2×C28).83(C2×C4) = (C4×Dic7)⋊8C4φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).83(C2xC4)448,510
(C2×C28).84(C2×C4) = (C4×Dic7)⋊9C4φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).84(C2xC4)448,511
(C2×C28).85(C2×C4) = C4⋊(D14⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).85(C2xC4)448,521
(C2×C28).86(C2×C4) = (C2×D28)⋊10C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).86(C2xC4)448,522
(C2×C28).87(C2×C4) = C28.(C2×Q8)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).87(C2xC4)448,529
(C2×C28).88(C2×C4) = C28.5C42φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).88(C2xC4)448,531
(C2×C28).89(C2×C4) = C28.45(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).89(C2xC4)448,532
(C2×C28).90(C2×C4) = C42.43D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).90(C2xC4)448,533
(C2×C28).91(C2×C4) = C4⋊C436D14φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).91(C2xC4)448,535
(C2×C28).92(C2×C4) = C4.(C2×D28)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).92(C2xC4)448,536
(C2×C28).93(C2×C4) = (C2×C4).47D28φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).93(C2xC4)448,538
(C2×C28).94(C2×C4) = C424D14φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).94(C2xC4)448,539
(C2×C28).95(C2×C4) = (C2×D28)⋊13C4φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).95(C2xC4)448,540
(C2×C28).96(C2×C4) = M4(2)×Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).96(C2xC4)448,651
(C2×C28).97(C2×C4) = Dic74M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).97(C2xC4)448,652
(C2×C28).98(C2×C4) = C28.439(C2×D4)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).98(C2xC4)448,653
(C2×C28).99(C2×C4) = C23.46D28φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).99(C2xC4)448,654
(C2×C28).100(C2×C4) = C23.47D28φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).100(C2xC4)448,655
(C2×C28).101(C2×C4) = C28.7C42φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).101(C2xC4)448,656
(C2×C28).102(C2×C4) = C2×C28.53D4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).102(C2xC4)448,657
(C2×C28).103(C2×C4) = C23.Dic14φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).103(C2xC4)448,658
(C2×C28).104(C2×C4) = M4(2).Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).104(C2xC4)448,659
(C2×C28).105(C2×C4) = D146M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).105(C2xC4)448,660
(C2×C28).106(C2×C4) = (C2×D28).14C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).106(C2xC4)448,663
(C2×C28).107(C2×C4) = C2×C28.46D4φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).107(C2xC4)448,664
(C2×C28).108(C2×C4) = C23.48D28φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).108(C2xC4)448,665
(C2×C28).109(C2×C4) = M4(2).31D14φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).109(C2xC4)448,666
(C2×C28).110(C2×C4) = C23.49D28φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).110(C2xC4)448,667
(C2×C28).111(C2×C4) = C2×C4.12D28φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).111(C2xC4)448,670
(C2×C28).112(C2×C4) = C2×D284C4φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).112(C2xC4)448,672
(C2×C28).113(C2×C4) = C23.20D28φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).113(C2xC4)448,673
(C2×C28).114(C2×C4) = C56.70C23φ: C2×C4/C2C22 ⊆ Aut C2×C282244(C2xC28).114(C2xC4)448,674
(C2×C28).115(C2×C4) = C2×D4⋊Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).115(C2xC4)448,748
(C2×C28).116(C2×C4) = (D4×C14)⋊6C4φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).116(C2xC4)448,749
(C2×C28).117(C2×C4) = C2×C28.D4φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).117(C2xC4)448,750
(C2×C28).118(C2×C4) = C24.19D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).118(C2xC4)448,755
(C2×C28).119(C2×C4) = C2×Q8⋊Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).119(C2xC4)448,758
(C2×C28).120(C2×C4) = (Q8×C14)⋊6C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).120(C2xC4)448,759
(C2×C28).121(C2×C4) = C2×C28.10D4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).121(C2xC4)448,760
(C2×C28).122(C2×C4) = C4○D4⋊Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).122(C2xC4)448,766
(C2×C28).123(C2×C4) = C28.(C2×D4)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).123(C2xC4)448,767
(C2×C28).124(C2×C4) = (D4×C14).11C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).124(C2xC4)448,768
(C2×C28).125(C2×C4) = C2×D42Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).125(C2xC4)448,769
(C2×C28).126(C2×C4) = (D4×C14)⋊9C4φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).126(C2xC4)448,770
(C2×C28).127(C2×C4) = C2×Dic73Q8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).127(C2xC4)448,949
(C2×C28).128(C2×C4) = C2×C4⋊C47D7φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).128(C2xC4)448,955
(C2×C28).129(C2×C4) = C42.87D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).129(C2xC4)448,969
(C2×C28).130(C2×C4) = C2×D7×M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).130(C2xC4)448,1196
(C2×C28).131(C2×C4) = C2×D28.C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).131(C2xC4)448,1197
(C2×C28).132(C2×C4) = C28.70C24φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).132(C2xC4)448,1198
(C2×C28).133(C2×C4) = C2×Q8×Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).133(C2xC4)448,1264
(C2×C28).134(C2×C4) = C14.422- 1+4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).134(C2xC4)448,1265
(C2×C28).135(C2×C4) = C2×Q8.Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).135(C2xC4)448,1271
(C2×C28).136(C2×C4) = C28.76C24φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).136(C2xC4)448,1272
(C2×C28).137(C2×C4) = Dic7.5C42φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).137(C2xC4)448,182
(C2×C28).138(C2×C4) = Dic7⋊C42φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).138(C2xC4)448,183
(C2×C28).139(C2×C4) = C7⋊(C428C4)φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).139(C2xC4)448,184
(C2×C28).140(C2×C4) = C7⋊(C425C4)φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).140(C2xC4)448,185
(C2×C28).141(C2×C4) = Dic7⋊C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).141(C2xC4)448,186
(C2×C28).142(C2×C4) = C22.58(D4×D7)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).142(C2xC4)448,198
(C2×C28).143(C2×C4) = D14⋊(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).143(C2xC4)448,201
(C2×C28).144(C2×C4) = D14⋊C45C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).144(C2xC4)448,203
(C2×C28).145(C2×C4) = D7×C8⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).145(C2xC4)448,238
(C2×C28).146(C2×C4) = C42.182D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).146(C2xC4)448,239
(C2×C28).147(C2×C4) = Dic7.C42φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).147(C2xC4)448,241
(C2×C28).148(C2×C4) = D14.4C42φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).148(C2xC4)448,242
(C2×C28).149(C2×C4) = C42.185D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).149(C2xC4)448,243
(C2×C28).150(C2×C4) = Dic7.5M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).150(C2xC4)448,252
(C2×C28).151(C2×C4) = Dic7.M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).151(C2xC4)448,253
(C2×C28).152(C2×C4) = D7×C22⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).152(C2xC4)448,258
(C2×C28).153(C2×C4) = C7⋊D4⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).153(C2xC4)448,259
(C2×C28).154(C2×C4) = D14⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).154(C2xC4)448,260
(C2×C28).155(C2×C4) = C7⋊C826D4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).155(C2xC4)448,264
(C2×C28).156(C2×C4) = Dic14⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).156(C2xC4)448,364
(C2×C28).157(C2×C4) = C28.M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).157(C2xC4)448,365
(C2×C28).158(C2×C4) = D28⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).158(C2xC4)448,368
(C2×C28).159(C2×C4) = C282M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).159(C2xC4)448,372
(C2×C28).160(C2×C4) = C24.8D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).160(C2xC4)448,485
(C2×C28).161(C2×C4) = C42.187D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).161(C2xC4)448,534
(C2×C28).162(C2×C4) = D4×C7⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).162(C2xC4)448,544
(C2×C28).163(C2×C4) = C42.47D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).163(C2xC4)448,545
(C2×C28).164(C2×C4) = C283M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).164(C2xC4)448,546
(C2×C28).165(C2×C4) = Q8×C7⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).165(C2xC4)448,557
(C2×C28).166(C2×C4) = C42.210D14φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).166(C2xC4)448,558
(C2×C28).167(C2×C4) = (D4×C14)⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).167(C2xC4)448,94
(C2×C28).168(C2×C4) = C4⋊C4⋊Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).168(C2xC4)448,95
(C2×C28).169(C2×C4) = C42.7D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).169(C2xC4)448,97
(C2×C28).170(C2×C4) = C42.8D14φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).170(C2xC4)448,100
(C2×C28).171(C2×C4) = C28.9D8φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).171(C2xC4)448,101
(C2×C28).172(C2×C4) = C28.5Q16φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).172(C2xC4)448,103
(C2×C28).173(C2×C4) = C28.10D8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).173(C2xC4)448,104
(C2×C28).174(C2×C4) = C7×C22.SD16φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).174(C2xC4)448,131
(C2×C28).175(C2×C4) = C7×C23.31D4φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).175(C2xC4)448,132
(C2×C28).176(C2×C4) = C7×C42.C22φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).176(C2xC4)448,133
(C2×C28).177(C2×C4) = C7×C42.2C22φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).177(C2xC4)448,134
(C2×C28).178(C2×C4) = C7×C4.D8φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).178(C2xC4)448,135
(C2×C28).179(C2×C4) = C7×C4.10D8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).179(C2xC4)448,136
(C2×C28).180(C2×C4) = C7×C4.6Q16φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).180(C2xC4)448,137
(C2×C28).181(C2×C4) = C7×C22.C42φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).181(C2xC4)448,147
(C2×C28).182(C2×C4) = C42.31D14φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).182(C2xC4)448,374
(C2×C28).183(C2×C4) = Dic7⋊(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).183(C2xC4)448,506
(C2×C28).184(C2×C4) = C22.23(Q8×D7)φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).184(C2xC4)448,512
(C2×C28).185(C2×C4) = C4⋊C45Dic7φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).185(C2xC4)448,515
(C2×C28).186(C2×C4) = D14⋊C47C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).186(C2xC4)448,524
(C2×C28).187(C2×C4) = C56⋊D4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).187(C2xC4)448,661
(C2×C28).188(C2×C4) = C5618D4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).188(C2xC4)448,662
(C2×C28).189(C2×C4) = (Q8×C14)⋊7C4φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).189(C2xC4)448,764
(C2×C28).190(C2×C4) = C7×C23.63C23φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).190(C2xC4)448,795
(C2×C28).191(C2×C4) = C7×C24.C22φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).191(C2xC4)448,796
(C2×C28).192(C2×C4) = C14×C4.D4φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).192(C2xC4)448,819
(C2×C28).193(C2×C4) = C7×C23.36D4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).193(C2xC4)448,825
(C2×C28).194(C2×C4) = C7×C23.37D4φ: C2×C4/C2C22 ⊆ Aut C2×C28112(C2xC28).194(C2xC4)448,826
(C2×C28).195(C2×C4) = C7×C23.38D4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).195(C2xC4)448,827
(C2×C28).196(C2×C4) = C7×C42⋊C22φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).196(C2xC4)448,829
(C2×C28).197(C2×C4) = C7×C42.6C22φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).197(C2xC4)448,832
(C2×C28).198(C2×C4) = C7×M4(2)⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).198(C2xC4)448,836
(C2×C28).199(C2×C4) = C7×M4(2).C4φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).199(C2xC4)448,838
(C2×C28).200(C2×C4) = C7×C42.7C22φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).200(C2xC4)448,841
(C2×C28).201(C2×C4) = C7×C89D4φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).201(C2xC4)448,843
(C2×C28).202(C2×C4) = C7×C84Q8φ: C2×C4/C2C22 ⊆ Aut C2×C28448(C2xC28).202(C2xC4)448,854
(C2×C28).203(C2×C4) = C7×C23.32C23φ: C2×C4/C2C22 ⊆ Aut C2×C28224(C2xC28).203(C2xC4)448,1302
(C2×C28).204(C2×C4) = C7×Q8○M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C281124(C2xC28).204(C2xC4)448,1351
(C2×C28).205(C2×C4) = D14.C42φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).205(C2xC4)448,223
(C2×C28).206(C2×C4) = C42.243D14φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).206(C2xC4)448,224
(C2×C28).207(C2×C4) = (C2×C42).D7φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).207(C2xC4)448,467
(C2×C28).208(C2×C4) = (C2×C42)⋊D7φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).208(C2xC4)448,474
(C2×C28).209(C2×C4) = C8×C7⋊D4φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).209(C2xC4)448,643
(C2×C28).210(C2×C4) = C5632D4φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).210(C2xC4)448,645
(C2×C28).211(C2×C4) = C4⋊C4×C28φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).211(C2xC4)448,786
(C2×C28).212(C2×C4) = D4×C56φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).212(C2xC4)448,842
(C2×C28).213(C2×C4) = C7×C86D4φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).213(C2xC4)448,844
(C2×C28).214(C2×C4) = Q8×C56φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).214(C2xC4)448,853
(C2×C28).215(C2×C4) = C4.8Dic28φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).215(C2xC4)448,13
(C2×C28).216(C2×C4) = C4.17D56φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).216(C2xC4)448,16
(C2×C28).217(C2×C4) = C28.8C42φ: C2×C4/C4C2 ⊆ Aut C2×C28112(C2xC28).217(C2xC4)448,80
(C2×C28).218(C2×C4) = C8×Dic14φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).218(C2xC4)448,212
(C2×C28).219(C2×C4) = C5611Q8φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).219(C2xC4)448,213
(C2×C28).220(C2×C4) = C8×D28φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).220(C2xC4)448,220
(C2×C28).221(C2×C4) = C86D28φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).221(C2xC4)448,222
(C2×C28).222(C2×C4) = C2×Dic14⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C28112(C2xC28).222(C2xC4)448,461
(C2×C28).223(C2×C4) = C284(C4⋊C4)φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).223(C2xC4)448,462
(C2×C28).224(C2×C4) = (C2×C28)⋊10Q8φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).224(C2xC4)448,463
(C2×C28).225(C2×C4) = (C2×C4)⋊6D28φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).225(C2xC4)448,473
(C2×C28).226(C2×C4) = Dic7⋊C8⋊C2φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).226(C2xC4)448,636
(C2×C28).227(C2×C4) = C2×C28.44D4φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).227(C2xC4)448,637
(C2×C28).228(C2×C4) = (C22×C8)⋊D7φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).228(C2xC4)448,644
(C2×C28).229(C2×C4) = C2×C2.D56φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).229(C2xC4)448,646
(C2×C28).230(C2×C4) = C2×C4×Dic14φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).230(C2xC4)448,920
(C2×C28).231(C2×C4) = D28.C8φ: C2×C4/C4C2 ⊆ Aut C2×C282242(C2xC28).231(C2xC4)448,65
(C2×C28).232(C2×C4) = D28.4C8φ: C2×C4/C4C2 ⊆ Aut C2×C282242(C2xC28).232(C2xC4)448,435
(C2×C28).233(C2×C4) = C4×C4.Dic7φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).233(C2xC4)448,456
(C2×C28).234(C2×C4) = C28.12C42φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).234(C2xC4)448,635
(C2×C28).235(C2×C4) = C23.23D28φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).235(C2xC4)448,647
(C2×C28).236(C2×C4) = C2×D28.2C4φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).236(C2xC4)448,1191
(C2×C28).237(C2×C4) = C8×C7⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).237(C2xC4)448,10
(C2×C28).238(C2×C4) = C42.279D14φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).238(C2xC4)448,11
(C2×C28).239(C2×C4) = C56⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).239(C2xC4)448,12
(C2×C28).240(C2×C4) = C16×Dic7φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).240(C2xC4)448,57
(C2×C28).241(C2×C4) = Dic7⋊C16φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).241(C2xC4)448,58
(C2×C28).242(C2×C4) = C1129C4φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).242(C2xC4)448,59
(C2×C28).243(C2×C4) = D14⋊C16φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).243(C2xC4)448,64
(C2×C28).244(C2×C4) = (C2×C28)⋊3C8φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).244(C2xC4)448,81
(C2×C28).245(C2×C4) = D7×C4×C8φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).245(C2xC4)448,218
(C2×C28).246(C2×C4) = C42.282D14φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).246(C2xC4)448,219
(C2×C28).247(C2×C4) = C4×C8⋊D7φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).247(C2xC4)448,221
(C2×C28).248(C2×C4) = D7×C2×C16φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).248(C2xC4)448,433
(C2×C28).249(C2×C4) = C2×C16⋊D7φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).249(C2xC4)448,434
(C2×C28).250(C2×C4) = C42×Dic7φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).250(C2xC4)448,464
(C2×C28).251(C2×C4) = C4×Dic7⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).251(C2xC4)448,465
(C2×C28).252(C2×C4) = C2×Dic7⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).252(C2xC4)448,633
(C2×C28).253(C2×C4) = C2×C56⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).253(C2xC4)448,634
(C2×C28).254(C2×C4) = C2×D14⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).254(C2xC4)448,642
(C2×C28).255(C2×C4) = C2×C42⋊D7φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).255(C2xC4)448,925
(C2×C28).256(C2×C4) = D7×C22×C8φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).256(C2xC4)448,1189
(C2×C28).257(C2×C4) = C22×C8⋊D7φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).257(C2xC4)448,1190
(C2×C28).258(C2×C4) = C7×D4⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).258(C2xC4)448,129
(C2×C28).259(C2×C4) = C7×Q8⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).259(C2xC4)448,130
(C2×C28).260(C2×C4) = C7×C426C4φ: C2×C4/C4C2 ⊆ Aut C2×C28112(C2xC28).260(C2xC4)448,143
(C2×C28).261(C2×C4) = C7×C22.4Q16φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).261(C2xC4)448,144
(C2×C28).262(C2×C4) = C7×C4.C42φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).262(C2xC4)448,145
(C2×C28).263(C2×C4) = C7×D4.C8φ: C2×C4/C4C2 ⊆ Aut C2×C282242(C2xC28).263(C2xC4)448,154
(C2×C28).264(C2×C4) = C7×C23.65C23φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).264(C2xC4)448,797
(C2×C28).265(C2×C4) = C7×C24.3C22φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).265(C2xC4)448,798
(C2×C28).266(C2×C4) = C7×C23.67C23φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).266(C2xC4)448,799
(C2×C28).267(C2×C4) = C7×(C22×C8)⋊C2φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).267(C2xC4)448,816
(C2×C28).268(C2×C4) = C14×D4⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).268(C2xC4)448,822
(C2×C28).269(C2×C4) = C14×Q8⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).269(C2xC4)448,823
(C2×C28).270(C2×C4) = C7×C23.24D4φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).270(C2xC4)448,824
(C2×C28).271(C2×C4) = C14×C4≀C2φ: C2×C4/C4C2 ⊆ Aut C2×C28112(C2xC28).271(C2xC4)448,828
(C2×C28).272(C2×C4) = C7×D4○C16φ: C2×C4/C4C2 ⊆ Aut C2×C282242(C2xC28).272(C2xC4)448,912
(C2×C28).273(C2×C4) = Q8×C2×C28φ: C2×C4/C4C2 ⊆ Aut C2×C28448(C2xC28).273(C2xC4)448,1299
(C2×C28).274(C2×C4) = C14×C8○D4φ: C2×C4/C4C2 ⊆ Aut C2×C28224(C2xC28).274(C2xC4)448,1350
(C2×C28).275(C2×C4) = C2×C42.D7φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).275(C2xC4)448,455
(C2×C28).276(C2×C4) = C2×C28⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).276(C2xC4)448,457
(C2×C28).277(C2×C4) = C42.7Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).277(C2xC4)448,460
(C2×C28).278(C2×C4) = C425Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).278(C2xC4)448,471
(C2×C28).279(C2×C4) = C2×C28.55D4φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).279(C2xC4)448,740
(C2×C28).280(C2×C4) = C24.4Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28112(C2xC28).280(C2xC4)448,741
(C2×C28).281(C2×C4) = C24.63D14φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).281(C2xC4)448,745
(C2×C28).282(C2×C4) = C23.27D28φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).282(C2xC4)448,746
(C2×C28).283(C2×C4) = C7×C424C4φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).283(C2xC4)448,784
(C2×C28).284(C2×C4) = C7×C23.34D4φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).284(C2xC4)448,789
(C2×C28).285(C2×C4) = C7×C428C4φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).285(C2xC4)448,790
(C2×C28).286(C2×C4) = C7×C425C4φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).286(C2xC4)448,791
(C2×C28).287(C2×C4) = C14×C8⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).287(C2xC4)448,811
(C2×C28).288(C2×C4) = C14×C22⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).288(C2xC4)448,814
(C2×C28).289(C2×C4) = C7×C4⋊M4(2)φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).289(C2xC4)448,831
(C2×C28).290(C2×C4) = C7×C42.6C4φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).290(C2xC4)448,840
(C2×C28).291(C2×C4) = C562C8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).291(C2xC4)448,14
(C2×C28).292(C2×C4) = C561C8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).292(C2xC4)448,15
(C2×C28).293(C2×C4) = C28.9C42φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).293(C2xC4)448,108
(C2×C28).294(C2×C4) = C28.10C42φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).294(C2xC4)448,109
(C2×C28).295(C2×C4) = C287M4(2)φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).295(C2xC4)448,458
(C2×C28).296(C2×C4) = C428Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).296(C2xC4)448,469
(C2×C28).297(C2×C4) = C429Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).297(C2xC4)448,470
(C2×C28).298(C2×C4) = C2×C8⋊Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).298(C2xC4)448,638
(C2×C28).299(C2×C4) = C2×C561C4φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).299(C2xC4)448,639
(C2×C28).300(C2×C4) = C22×C4.Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).300(C2xC4)448,1234
(C2×C28).301(C2×C4) = C56.16Q8φ: C2×C4/C22C2 ⊆ Aut C2×C281122(C2xC28).301(C2xC4)448,20
(C2×C28).302(C2×C4) = C28.15C42φ: C2×C4/C22C2 ⊆ Aut C2×C281124(C2xC28).302(C2xC4)448,23
(C2×C28).303(C2×C4) = C56.D4φ: C2×C4/C22C2 ⊆ Aut C2×C281124(C2xC28).303(C2xC4)448,110
(C2×C28).304(C2×C4) = (C2×C56)⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C281124(C2xC28).304(C2xC4)448,113
(C2×C28).305(C2×C4) = C2×C28.C8φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).305(C2xC4)448,631
(C2×C28).306(C2×C4) = C23.22D28φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).306(C2xC4)448,640
(C2×C28).307(C2×C4) = C2×C56.C4φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).307(C2xC4)448,641
(C2×C28).308(C2×C4) = (D4×C14)⋊10C4φ: C2×C4/C22C2 ⊆ Aut C2×C281124(C2xC28).308(C2xC4)448,774
(C2×C28).309(C2×C4) = C4×C7⋊C16φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).309(C2xC4)448,17
(C2×C28).310(C2×C4) = C56.C8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).310(C2xC4)448,18
(C2×C28).311(C2×C4) = C28⋊C16φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).311(C2xC4)448,19
(C2×C28).312(C2×C4) = C56.91D4φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).312(C2xC4)448,106
(C2×C28).313(C2×C4) = (C2×C56)⋊5C4φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).313(C2xC4)448,107
(C2×C28).314(C2×C4) = C2×C4×C7⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).314(C2xC4)448,454
(C2×C28).315(C2×C4) = C42.6Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).315(C2xC4)448,459
(C2×C28).316(C2×C4) = C424Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).316(C2xC4)448,466
(C2×C28).317(C2×C4) = C4×C4⋊Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).317(C2xC4)448,468
(C2×C28).318(C2×C4) = C22×C7⋊C16φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).318(C2xC4)448,630
(C2×C28).319(C2×C4) = C2×C8×Dic7φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).319(C2xC4)448,632
(C2×C28).320(C2×C4) = C4×C23.D7φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).320(C2xC4)448,743
(C2×C28).321(C2×C4) = C23×C7⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).321(C2xC4)448,1233
(C2×C28).322(C2×C4) = C7×C82C8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).322(C2xC4)448,138
(C2×C28).323(C2×C4) = C7×C81C8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).323(C2xC4)448,139
(C2×C28).324(C2×C4) = C7×C4.9C42φ: C2×C4/C22C2 ⊆ Aut C2×C281124(C2xC28).324(C2xC4)448,141
(C2×C28).325(C2×C4) = C7×C4.10C42φ: C2×C4/C22C2 ⊆ Aut C2×C281124(C2xC28).325(C2xC4)448,142
(C2×C28).326(C2×C4) = C7×M4(2)⋊4C4φ: C2×C4/C22C2 ⊆ Aut C2×C281124(C2xC28).326(C2xC4)448,148
(C2×C28).327(C2×C4) = C7×C16⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C281124(C2xC28).327(C2xC4)448,151
(C2×C28).328(C2×C4) = C7×C23.C8φ: C2×C4/C22C2 ⊆ Aut C2×C281124(C2xC28).328(C2xC4)448,153
(C2×C28).329(C2×C4) = C7×C8.C8φ: C2×C4/C22C2 ⊆ Aut C2×C281122(C2xC28).329(C2xC4)448,168
(C2×C28).330(C2×C4) = C7×C23.7Q8φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).330(C2xC4)448,788
(C2×C28).331(C2×C4) = C7×C429C4φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).331(C2xC4)448,792
(C2×C28).332(C2×C4) = C7×C82M4(2)φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).332(C2xC4)448,813
(C2×C28).333(C2×C4) = C7×C24.4C4φ: C2×C4/C22C2 ⊆ Aut C2×C28112(C2xC28).333(C2xC4)448,815
(C2×C28).334(C2×C4) = C14×C4⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).334(C2xC4)448,830
(C2×C28).335(C2×C4) = C14×C4.Q8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).335(C2xC4)448,833
(C2×C28).336(C2×C4) = C14×C2.D8φ: C2×C4/C22C2 ⊆ Aut C2×C28448(C2xC28).336(C2xC4)448,834
(C2×C28).337(C2×C4) = C7×C23.25D4φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).337(C2xC4)448,835
(C2×C28).338(C2×C4) = C14×C8.C4φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).338(C2xC4)448,837
(C2×C28).339(C2×C4) = C7×C42.12C4φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).339(C2xC4)448,839
(C2×C28).340(C2×C4) = C14×M5(2)φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).340(C2xC4)448,911
(C2×C28).341(C2×C4) = M4(2)×C2×C14φ: C2×C4/C22C2 ⊆ Aut C2×C28224(C2xC28).341(C2xC4)448,1349
(C2×C28).342(C2×C4) = C7×C8⋊C8central extension (φ=1)448(C2xC28).342(C2xC4)448,126
(C2×C28).343(C2×C4) = C7×C22.7C42central extension (φ=1)448(C2xC28).343(C2xC4)448,140
(C2×C28).344(C2×C4) = C7×C165C4central extension (φ=1)448(C2xC28).344(C2xC4)448,150
(C2×C28).345(C2×C4) = C7×C22⋊C16central extension (φ=1)224(C2xC28).345(C2xC4)448,152
(C2×C28).346(C2×C4) = C7×C4⋊C16central extension (φ=1)448(C2xC28).346(C2xC4)448,167
(C2×C28).347(C2×C4) = M4(2)×C28central extension (φ=1)224(C2xC28).347(C2xC4)448,812

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