# Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C4×D7

Direct product G=N×Q with N=C2×C4 and Q=C4×D7
dρLabelID
D7×C2×C42224D7xC2xC4^2448,924

Semidirect products G=N:Q with N=C2×C4 and Q=C4×D7
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C4×D7) = D7×C23⋊C4φ: C4×D7/D7C4 ⊆ Aut C2×C4568+(C2xC4):1(C4xD7)448,277
(C2×C4)⋊2(C4×D7) = (C2×C4)⋊9D28φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4):2(C4xD7)448,199
(C2×C4)⋊3(C4×D7) = D14⋊C4⋊C4φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4):3(C4xD7)448,202
(C2×C4)⋊4(C4×D7) = D14⋊C46C4φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4):4(C4xD7)448,523
(C2×C4)⋊5(C4×D7) = C14.82+ 1+4φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4):5(C4xD7)448,957
(C2×C4)⋊6(C4×D7) = C427D14φ: C4×D7/C14C22 ⊆ Aut C2×C4112(C2xC4):6(C4xD7)448,974
(C2×C4)⋊7(C4×D7) = C42.91D14φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4):7(C4xD7)448,976
(C2×C4)⋊8(C4×D7) = D14⋊C42φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4):8(C4xD7)448,200
(C2×C4)⋊9(C4×D7) = C2×D28⋊C4φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4):9(C4xD7)448,956
(C2×C4)⋊10(C4×D7) = C42.188D14φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4):10(C4xD7)448,975
(C2×C4)⋊11(C4×D7) = C4×D14⋊C4φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4):11(C4xD7)448,472
(C2×C4)⋊12(C4×D7) = C2×C4×D28φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4):12(C4xD7)448,926
(C2×C4)⋊13(C4×D7) = C4×C4○D28φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4):13(C4xD7)448,927
(C2×C4)⋊14(C4×D7) = D7×C2.C42φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4):14(C4xD7)448,197
(C2×C4)⋊15(C4×D7) = C2×D7×C4⋊C4φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4):15(C4xD7)448,954
(C2×C4)⋊16(C4×D7) = D7×C42⋊C2φ: C4×D7/D14C2 ⊆ Aut C2×C4112(C2xC4):16(C4xD7)448,973

Non-split extensions G=N.Q with N=C2×C4 and Q=C4×D7
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C4×D7) = C23.D28φ: C4×D7/D7C4 ⊆ Aut C2×C41128-(C2xC4).1(C4xD7)448,30
(C2×C4).2(C4×D7) = C23.2D28φ: C4×D7/D7C4 ⊆ Aut C2×C4568+(C2xC4).2(C4xD7)448,31
(C2×C4).3(C4×D7) = (C2×C4).D28φ: C4×D7/D7C4 ⊆ Aut C2×C41128+(C2xC4).3(C4xD7)448,34
(C2×C4).4(C4×D7) = (C2×Q8).D14φ: C4×D7/D7C4 ⊆ Aut C2×C41128-(C2xC4).4(C4xD7)448,35
(C2×C4).5(C4×D7) = C23⋊C45D7φ: C4×D7/D7C4 ⊆ Aut C2×C41128-(C2xC4).5(C4xD7)448,274
(C2×C4).6(C4×D7) = D7×C4.10D4φ: C4×D7/D7C4 ⊆ Aut C2×C41128-(C2xC4).6(C4xD7)448,284
(C2×C4).7(C4×D7) = M4(2).21D14φ: C4×D7/D7C4 ⊆ Aut C2×C41128+(C2xC4).7(C4xD7)448,285
(C2×C4).8(C4×D7) = C14.C4≀C2φ: C4×D7/C14C22 ⊆ Aut C2×C4112(C2xC4).8(C4xD7)448,8
(C2×C4).9(C4×D7) = C4⋊Dic7⋊C4φ: C4×D7/C14C22 ⊆ Aut C2×C4112(C2xC4).9(C4xD7)448,9
(C2×C4).10(C4×D7) = C42.D14φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).10(C4xD7)448,21
(C2×C4).11(C4×D7) = C42.2D14φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).11(C4xD7)448,22
(C2×C4).12(C4×D7) = C23.30D28φ: C4×D7/C14C22 ⊆ Aut C2×C4112(C2xC4).12(C4xD7)448,24
(C2×C4).13(C4×D7) = C22.2D56φ: C4×D7/C14C22 ⊆ Aut C2×C4112(C2xC4).13(C4xD7)448,27
(C2×C4).14(C4×D7) = C4.Dic28φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).14(C4xD7)448,38
(C2×C4).15(C4×D7) = C28.47D8φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).15(C4xD7)448,39
(C2×C4).16(C4×D7) = C4.D56φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).16(C4xD7)448,42
(C2×C4).17(C4×D7) = C28.2D8φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).17(C4xD7)448,43
(C2×C4).18(C4×D7) = C28.(C4⋊C4)φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).18(C4xD7)448,87
(C2×C4).19(C4×D7) = (C2×C28).Q8φ: C4×D7/C14C22 ⊆ Aut C2×C41124(C2xC4).19(C4xD7)448,90
(C2×C4).20(C4×D7) = M4(2)⋊Dic7φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).20(C4xD7)448,111
(C2×C4).21(C4×D7) = (C2×C56)⋊C4φ: C4×D7/C14C22 ⊆ Aut C2×C41124(C2xC4).21(C4xD7)448,113
(C2×C4).22(C4×D7) = (C2×C28)⋊Q8φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).22(C4xD7)448,180
(C2×C4).23(C4×D7) = C14.(C4×Q8)φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).23(C4xD7)448,181
(C2×C4).24(C4×D7) = C4⋊Dic77C4φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).24(C4xD7)448,187
(C2×C4).25(C4×D7) = C4⋊Dic78C4φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).25(C4xD7)448,188
(C2×C4).26(C4×D7) = C14.(C4×D4)φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).26(C4xD7)448,189
(C2×C4).27(C4×D7) = C2.(C4×D28)φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).27(C4xD7)448,204
(C2×C4).28(C4×D7) = C56⋊Q8φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).28(C4xD7)448,235
(C2×C4).29(C4×D7) = C89D28φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).29(C4xD7)448,240
(C2×C4).30(C4×D7) = C56⋊C4⋊C2φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).30(C4xD7)448,254
(C2×C4).31(C4×D7) = D14⋊C8⋊C2φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).31(C4xD7)448,261
(C2×C4).32(C4×D7) = D142M4(2)φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).32(C4xD7)448,262
(C2×C4).33(C4×D7) = Dic7⋊M4(2)φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).33(C4xD7)448,263
(C2×C4).34(C4×D7) = C42.27D14φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).34(C4xD7)448,362
(C2×C4).35(C4×D7) = D143M4(2)φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).35(C4xD7)448,370
(C2×C4).36(C4×D7) = C42.30D14φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).36(C4xD7)448,373
(C2×C4).37(C4×D7) = C42.31D14φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).37(C4xD7)448,374
(C2×C4).38(C4×D7) = C4.Dic7⋊C4φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).38(C4xD7)448,498
(C2×C4).39(C4×D7) = C4○D28⋊C4φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).39(C4xD7)448,500
(C2×C4).40(C4×D7) = Dic7⋊(C4⋊C4)φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).40(C4xD7)448,506
(C2×C4).41(C4×D7) = C22.23(Q8×D7)φ: C4×D7/C14C22 ⊆ Aut C2×C4448(C2xC4).41(C4xD7)448,512
(C2×C4).42(C4×D7) = D14⋊C47C4φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).42(C4xD7)448,524
(C2×C4).43(C4×D7) = C28.(C2×Q8)φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).43(C4xD7)448,529
(C2×C4).44(C4×D7) = C4⋊C436D14φ: C4×D7/C14C22 ⊆ Aut C2×C4112(C2xC4).44(C4xD7)448,535
(C2×C4).45(C4×D7) = (C2×C4).47D28φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).45(C4xD7)448,538
(C2×C4).46(C4×D7) = C424D14φ: C4×D7/C14C22 ⊆ Aut C2×C41124(C2xC4).46(C4xD7)448,539
(C2×C4).47(C4×D7) = (C2×D28)⋊13C4φ: C4×D7/C14C22 ⊆ Aut C2×C41124(C2xC4).47(C4xD7)448,540
(C2×C4).48(C4×D7) = C23.46D28φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).48(C4xD7)448,654
(C2×C4).49(C4×D7) = C23.Dic14φ: C4×D7/C14C22 ⊆ Aut C2×C41124(C2xC4).49(C4xD7)448,658
(C2×C4).50(C4×D7) = C56⋊D4φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).50(C4xD7)448,661
(C2×C4).51(C4×D7) = C5618D4φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).51(C4xD7)448,662
(C2×C4).52(C4×D7) = C2×C28.46D4φ: C4×D7/C14C22 ⊆ Aut C2×C4112(C2xC4).52(C4xD7)448,664
(C2×C4).53(C4×D7) = C23.48D28φ: C4×D7/C14C22 ⊆ Aut C2×C4112(C2xC4).53(C4xD7)448,665
(C2×C4).54(C4×D7) = C23.49D28φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).54(C4xD7)448,667
(C2×C4).55(C4×D7) = C2×C4.12D28φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).55(C4xD7)448,670
(C2×C4).56(C4×D7) = C23.20D28φ: C4×D7/C14C22 ⊆ Aut C2×C41124(C2xC4).56(C4xD7)448,673
(C2×C4).57(C4×D7) = C42.87D14φ: C4×D7/C14C22 ⊆ Aut C2×C4224(C2xC4).57(C4xD7)448,969
(C2×C4).58(C4×D7) = C28.70C24φ: C4×D7/C14C22 ⊆ Aut C2×C41124(C2xC4).58(C4xD7)448,1198
(C2×C4).59(C4×D7) = Dic7⋊C4⋊C4φ: C4×D7/Dic7C2 ⊆ Aut C2×C4448(C2xC4).59(C4xD7)448,186
(C2×C4).60(C4×D7) = D14⋊C45C4φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).60(C4xD7)448,203
(C2×C4).61(C4×D7) = D14.4C42φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).61(C4xD7)448,242
(C2×C4).62(C4×D7) = C42.185D14φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).62(C4xD7)448,243
(C2×C4).63(C4×D7) = C7⋊D4⋊C8φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).63(C4xD7)448,259
(C2×C4).64(C4×D7) = C7⋊C826D4φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).64(C4xD7)448,264
(C2×C4).65(C4×D7) = D282C8φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).65(C4xD7)448,40
(C2×C4).66(C4×D7) = Dic142C8φ: C4×D7/Dic7C2 ⊆ Aut C2×C4448(C2xC4).66(C4xD7)448,41
(C2×C4).67(C4×D7) = Dic14.C8φ: C4×D7/Dic7C2 ⊆ Aut C2×C42244(C2xC4).67(C4xD7)448,72
(C2×C4).68(C4×D7) = C28.2C42φ: C4×D7/Dic7C2 ⊆ Aut C2×C4112(C2xC4).68(C4xD7)448,89
(C2×C4).69(C4×D7) = C28.3C42φ: C4×D7/Dic7C2 ⊆ Aut C2×C4112(C2xC4).69(C4xD7)448,112
(C2×C4).70(C4×D7) = Dic14⋊C8φ: C4×D7/Dic7C2 ⊆ Aut C2×C4448(C2xC4).70(C4xD7)448,364
(C2×C4).71(C4×D7) = C28.M4(2)φ: C4×D7/Dic7C2 ⊆ Aut C2×C4448(C2xC4).71(C4xD7)448,365
(C2×C4).72(C4×D7) = D28⋊C8φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).72(C4xD7)448,368
(C2×C4).73(C4×D7) = C282M4(2)φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).73(C4xD7)448,372
(C2×C4).74(C4×D7) = C16.12D14φ: C4×D7/Dic7C2 ⊆ Aut C2×C42244(C2xC4).74(C4xD7)448,441
(C2×C4).75(C4×D7) = C2×C14.D8φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).75(C4xD7)448,499
(C2×C4).76(C4×D7) = C2×C14.Q16φ: C4×D7/Dic7C2 ⊆ Aut C2×C4448(C2xC4).76(C4xD7)448,503
(C2×C4).77(C4×D7) = C28⋊(C4⋊C4)φ: C4×D7/Dic7C2 ⊆ Aut C2×C4448(C2xC4).77(C4xD7)448,507
(C2×C4).78(C4×D7) = (C2×Dic7)⋊6Q8φ: C4×D7/Dic7C2 ⊆ Aut C2×C4448(C2xC4).78(C4xD7)448,508
(C2×C4).79(C4×D7) = (C2×D28)⋊10C4φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).79(C4xD7)448,522
(C2×C4).80(C4×D7) = C28.5C42φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).80(C4xD7)448,531
(C2×C4).81(C4×D7) = C4.(C2×D28)φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).81(C4xD7)448,536
(C2×C4).82(C4×D7) = C28.439(C2×D4)φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).82(C4xD7)448,653
(C2×C4).83(C4×D7) = C28.7C42φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).83(C4xD7)448,656
(C2×C4).84(C4×D7) = (C2×D28).14C4φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).84(C4xD7)448,663
(C2×C4).85(C4×D7) = C2×D284C4φ: C4×D7/Dic7C2 ⊆ Aut C2×C4112(C2xC4).85(C4xD7)448,672
(C2×C4).86(C4×D7) = C2×Dic73Q8φ: C4×D7/Dic7C2 ⊆ Aut C2×C4448(C2xC4).86(C4xD7)448,949
(C2×C4).87(C4×D7) = C2×D28.C4φ: C4×D7/Dic7C2 ⊆ Aut C2×C4224(C2xC4).87(C4xD7)448,1197
(C2×C4).88(C4×D7) = D14.C42φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).88(C4xD7)448,223
(C2×C4).89(C4×D7) = C42.243D14φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).89(C4xD7)448,224
(C2×C4).90(C4×D7) = C4×Dic7⋊C4φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).90(C4xD7)448,465
(C2×C4).91(C4×D7) = (C2×C42).D7φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).91(C4xD7)448,467
(C2×C4).92(C4×D7) = (C2×C42)⋊D7φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).92(C4xD7)448,474
(C2×C4).93(C4×D7) = C8×C7⋊D4φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).93(C4xD7)448,643
(C2×C4).94(C4×D7) = C5632D4φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).94(C4xD7)448,645
(C2×C4).95(C4×D7) = C4.8Dic28φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).95(C4xD7)448,13
(C2×C4).96(C4×D7) = C4.17D56φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).96(C4xD7)448,16
(C2×C4).97(C4×D7) = D28.C8φ: C4×D7/C28C2 ⊆ Aut C2×C42242(C2xC4).97(C4xD7)448,65
(C2×C4).98(C4×D7) = C28.8C42φ: C4×D7/C28C2 ⊆ Aut C2×C4112(C2xC4).98(C4xD7)448,80
(C2×C4).99(C4×D7) = C28.9C42φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).99(C4xD7)448,108
(C2×C4).100(C4×D7) = C28.10C42φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).100(C4xD7)448,109
(C2×C4).101(C4×D7) = C8×Dic14φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).101(C4xD7)448,212
(C2×C4).102(C4×D7) = C5611Q8φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).102(C4xD7)448,213
(C2×C4).103(C4×D7) = C8×D28φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).103(C4xD7)448,220
(C2×C4).104(C4×D7) = C86D28φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).104(C4xD7)448,222
(C2×C4).105(C4×D7) = D28.4C8φ: C4×D7/C28C2 ⊆ Aut C2×C42242(C2xC4).105(C4xD7)448,435
(C2×C4).106(C4×D7) = C4×C4.Dic7φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).106(C4xD7)448,456
(C2×C4).107(C4×D7) = C2×Dic14⋊C4φ: C4×D7/C28C2 ⊆ Aut C2×C4112(C2xC4).107(C4xD7)448,461
(C2×C4).108(C4×D7) = C284(C4⋊C4)φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).108(C4xD7)448,462
(C2×C4).109(C4×D7) = (C2×C28)⋊10Q8φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).109(C4xD7)448,463
(C2×C4).110(C4×D7) = C4×C4⋊Dic7φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).110(C4xD7)448,468
(C2×C4).111(C4×D7) = (C2×C4)⋊6D28φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).111(C4xD7)448,473
(C2×C4).112(C4×D7) = C28.12C42φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).112(C4xD7)448,635
(C2×C4).113(C4×D7) = Dic7⋊C8⋊C2φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).113(C4xD7)448,636
(C2×C4).114(C4×D7) = C2×C28.44D4φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).114(C4xD7)448,637
(C2×C4).115(C4×D7) = (C22×C8)⋊D7φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).115(C4xD7)448,644
(C2×C4).116(C4×D7) = C2×C2.D56φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).116(C4xD7)448,646
(C2×C4).117(C4×D7) = C23.23D28φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).117(C4xD7)448,647
(C2×C4).118(C4×D7) = C2×C4×Dic14φ: C4×D7/C28C2 ⊆ Aut C2×C4448(C2xC4).118(C4xD7)448,920
(C2×C4).119(C4×D7) = C2×D28.2C4φ: C4×D7/C28C2 ⊆ Aut C2×C4224(C2xC4).119(C4xD7)448,1191
(C2×C4).120(C4×D7) = Dic7.5C42φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).120(C4xD7)448,182
(C2×C4).121(C4×D7) = Dic7⋊C42φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).121(C4xD7)448,183
(C2×C4).122(C4×D7) = C7⋊(C428C4)φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).122(C4xD7)448,184
(C2×C4).123(C4×D7) = C7⋊(C425C4)φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).123(C4xD7)448,185
(C2×C4).124(C4×D7) = C22.58(D4×D7)φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).124(C4xD7)448,198
(C2×C4).125(C4×D7) = D14⋊(C4⋊C4)φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).125(C4xD7)448,201
(C2×C4).126(C4×D7) = D7×C8⋊C4φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).126(C4xD7)448,238
(C2×C4).127(C4×D7) = C42.182D14φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).127(C4xD7)448,239
(C2×C4).128(C4×D7) = Dic7.C42φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).128(C4xD7)448,241
(C2×C4).129(C4×D7) = Dic7.5M4(2)φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).129(C4xD7)448,252
(C2×C4).130(C4×D7) = Dic7.M4(2)φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).130(C4xD7)448,253
(C2×C4).131(C4×D7) = D7×C22⋊C8φ: C4×D7/D14C2 ⊆ Aut C2×C4112(C2xC4).131(C4xD7)448,258
(C2×C4).132(C4×D7) = D14⋊M4(2)φ: C4×D7/D14C2 ⊆ Aut C2×C4112(C2xC4).132(C4xD7)448,260
(C2×C4).133(C4×D7) = C28.53D8φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).133(C4xD7)448,36
(C2×C4).134(C4×D7) = C28.39SD16φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).134(C4xD7)448,37
(C2×C4).135(C4×D7) = C56.9Q8φ: C4×D7/D14C2 ⊆ Aut C2×C41124(C2xC4).135(C4xD7)448,68
(C2×C4).136(C4×D7) = C112⋊C4φ: C4×D7/D14C2 ⊆ Aut C2×C41124(C2xC4).136(C4xD7)448,69
(C2×C4).137(C4×D7) = M5(2)⋊D7φ: C4×D7/D14C2 ⊆ Aut C2×C41124(C2xC4).137(C4xD7)448,71
(C2×C4).138(C4×D7) = C28.C42φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).138(C4xD7)448,86
(C2×C4).139(C4×D7) = C42⋊Dic7φ: C4×D7/D14C2 ⊆ Aut C2×C41124(C2xC4).139(C4xD7)448,88
(C2×C4).140(C4×D7) = C23.9D28φ: C4×D7/D14C2 ⊆ Aut C2×C41124(C2xC4).140(C4xD7)448,114
(C2×C4).141(C4×D7) = C28.4C42φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).141(C4xD7)448,115
(C2×C4).142(C4×D7) = M4(2)⋊4Dic7φ: C4×D7/D14C2 ⊆ Aut C2×C41124(C2xC4).142(C4xD7)448,116
(C2×C4).143(C4×D7) = C28.21C42φ: C4×D7/D14C2 ⊆ Aut C2×C41124(C2xC4).143(C4xD7)448,117
(C2×C4).144(C4×D7) = D7×C4⋊C8φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).144(C4xD7)448,366
(C2×C4).145(C4×D7) = C42.200D14φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).145(C4xD7)448,367
(C2×C4).146(C4×D7) = C42.202D14φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).146(C4xD7)448,369
(C2×C4).147(C4×D7) = C28⋊M4(2)φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).147(C4xD7)448,371
(C2×C4).148(C4×D7) = D7×M5(2)φ: C4×D7/D14C2 ⊆ Aut C2×C41124(C2xC4).148(C4xD7)448,440
(C2×C4).149(C4×D7) = C2×C28.Q8φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).149(C4xD7)448,496
(C2×C4).150(C4×D7) = C2×C4.Dic14φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).150(C4xD7)448,497
(C2×C4).151(C4×D7) = C4⋊C4×Dic7φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).151(C4xD7)448,509
(C2×C4).152(C4×D7) = (C4×Dic7)⋊8C4φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).152(C4xD7)448,510
(C2×C4).153(C4×D7) = (C4×Dic7)⋊9C4φ: C4×D7/D14C2 ⊆ Aut C2×C4448(C2xC4).153(C4xD7)448,511
(C2×C4).154(C4×D7) = C4⋊(D14⋊C4)φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).154(C4xD7)448,521
(C2×C4).155(C4×D7) = C28.45(C4⋊C4)φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).155(C4xD7)448,532
(C2×C4).156(C4×D7) = M4(2)×Dic7φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).156(C4xD7)448,651
(C2×C4).157(C4×D7) = Dic74M4(2)φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).157(C4xD7)448,652
(C2×C4).158(C4×D7) = C2×C28.53D4φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).158(C4xD7)448,657
(C2×C4).159(C4×D7) = D146M4(2)φ: C4×D7/D14C2 ⊆ Aut C2×C4112(C2xC4).159(C4xD7)448,660
(C2×C4).160(C4×D7) = M4(2).31D14φ: C4×D7/D14C2 ⊆ Aut C2×C41124(C2xC4).160(C4xD7)448,666
(C2×C4).161(C4×D7) = C2×C4⋊C47D7φ: C4×D7/D14C2 ⊆ Aut C2×C4224(C2xC4).161(C4xD7)448,955
(C2×C4).162(C4×D7) = C2×D7×M4(2)φ: C4×D7/D14C2 ⊆ Aut C2×C4112(C2xC4).162(C4xD7)448,1196
(C2×C4).163(C4×D7) = C8×C7⋊C8central extension (φ=1)448(C2xC4).163(C4xD7)448,10
(C2×C4).164(C4×D7) = C42.279D14central extension (φ=1)448(C2xC4).164(C4xD7)448,11
(C2×C4).165(C4×D7) = C56⋊C8central extension (φ=1)448(C2xC4).165(C4xD7)448,12
(C2×C4).166(C4×D7) = C16×Dic7central extension (φ=1)448(C2xC4).166(C4xD7)448,57
(C2×C4).167(C4×D7) = Dic7⋊C16central extension (φ=1)448(C2xC4).167(C4xD7)448,58
(C2×C4).168(C4×D7) = C1129C4central extension (φ=1)448(C2xC4).168(C4xD7)448,59
(C2×C4).169(C4×D7) = D14⋊C16central extension (φ=1)224(C2xC4).169(C4xD7)448,64
(C2×C4).170(C4×D7) = (C2×C28)⋊3C8central extension (φ=1)448(C2xC4).170(C4xD7)448,81
(C2×C4).171(C4×D7) = (C2×C56)⋊5C4central extension (φ=1)448(C2xC4).171(C4xD7)448,107
(C2×C4).172(C4×D7) = D7×C4×C8central extension (φ=1)224(C2xC4).172(C4xD7)448,218
(C2×C4).173(C4×D7) = C42.282D14central extension (φ=1)224(C2xC4).173(C4xD7)448,219
(C2×C4).174(C4×D7) = C4×C8⋊D7central extension (φ=1)224(C2xC4).174(C4xD7)448,221
(C2×C4).175(C4×D7) = D7×C2×C16central extension (φ=1)224(C2xC4).175(C4xD7)448,433
(C2×C4).176(C4×D7) = C2×C16⋊D7central extension (φ=1)224(C2xC4).176(C4xD7)448,434
(C2×C4).177(C4×D7) = C2×C4×C7⋊C8central extension (φ=1)448(C2xC4).177(C4xD7)448,454
(C2×C4).178(C4×D7) = C2×C42.D7central extension (φ=1)448(C2xC4).178(C4xD7)448,455
(C2×C4).179(C4×D7) = C42×Dic7central extension (φ=1)448(C2xC4).179(C4xD7)448,464
(C2×C4).180(C4×D7) = C424Dic7central extension (φ=1)448(C2xC4).180(C4xD7)448,466
(C2×C4).181(C4×D7) = C2×C8×Dic7central extension (φ=1)448(C2xC4).181(C4xD7)448,632
(C2×C4).182(C4×D7) = C2×Dic7⋊C8central extension (φ=1)448(C2xC4).182(C4xD7)448,633
(C2×C4).183(C4×D7) = C2×C56⋊C4central extension (φ=1)448(C2xC4).183(C4xD7)448,634
(C2×C4).184(C4×D7) = C2×D14⋊C8central extension (φ=1)224(C2xC4).184(C4xD7)448,642
(C2×C4).185(C4×D7) = C2×C42⋊D7central extension (φ=1)224(C2xC4).185(C4xD7)448,925
(C2×C4).186(C4×D7) = D7×C22×C8central extension (φ=1)224(C2xC4).186(C4xD7)448,1189
(C2×C4).187(C4×D7) = C22×C8⋊D7central extension (φ=1)224(C2xC4).187(C4xD7)448,1190

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