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Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C4:C4

Direct product G=NxQ with N=C2xC4 and Q=C4:C4
dρLabelID
C2xC4xC4:C4128C2xC4xC4:C4128,1001

Semidirect products G=N:Q with N=C2xC4 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
(C2xC4):(C4:C4) = C24.22D4φ: C4:C4/C2 → D4 ⊆ Aut C2xC432(C2xC4):(C4:C4)128,599
(C2xC4):2(C4:C4) = C24.167C23φ: C4:C4/C4 → C4 ⊆ Aut C2xC432(C2xC4):2(C4:C4)128,531
(C2xC4):3(C4:C4) = C24.631C23φ: C4:C4/C22 → C22 ⊆ Aut C2xC4128(C2xC4):3(C4:C4)128,173
(C2xC4):4(C4:C4) = C24.634C23φ: C4:C4/C22 → C22 ⊆ Aut C2xC4128(C2xC4):4(C4:C4)128,176
(C2xC4):5(C4:C4) = C24.545C23φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4):5(C4:C4)128,1048
(C2xC4):6(C4:C4) = C23.199C24φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4):6(C4:C4)128,1049
(C2xC4):7(C4:C4) = C24.625C23φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4):7(C4:C4)128,167
(C2xC4):8(C4:C4) = C24.626C23φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4):8(C4:C4)128,168
(C2xC4):9(C4:C4) = C2xC42:9C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4):9(C4:C4)128,1016
(C2xC4):10(C4:C4) = C23.167C24φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4):10(C4:C4)128,1017
(C2xC4):11(C4:C4) = C2xC23.65C23φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4):11(C4:C4)128,1023
(C2xC4):12(C4:C4) = C23.178C24φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4):12(C4:C4)128,1028

Non-split extensions G=N.Q with N=C2xC4 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
(C2xC4).1(C4:C4) = C24.5D4φ: C4:C4/C2 → D4 ⊆ Aut C2xC432(C2xC4).1(C4:C4)128,122
(C2xC4).2(C4:C4) = C23.2C42φ: C4:C4/C2 → D4 ⊆ Aut C2xC4324(C2xC4).2(C4:C4)128,123
(C2xC4).3(C4:C4) = (C2xQ8).Q8φ: C4:C4/C2 → D4 ⊆ Aut C2xC432(C2xC4).3(C4:C4)128,126
(C2xC4).4(C4:C4) = (C22xC8):C4φ: C4:C4/C2 → D4 ⊆ Aut C2xC4324(C2xC4).4(C4:C4)128,127
(C2xC4).5(C4:C4) = C4.10D4:2C4φ: C4:C4/C2 → D4 ⊆ Aut C2xC432(C2xC4).5(C4:C4)128,589
(C2xC4).6(C4:C4) = M4(2).40D4φ: C4:C4/C2 → D4 ⊆ Aut C2xC4324(C2xC4).6(C4:C4)128,590
(C2xC4).7(C4:C4) = (C2xD4).Q8φ: C4:C4/C2 → D4 ⊆ Aut C2xC4324(C2xC4).7(C4:C4)128,600
(C2xC4).8(C4:C4) = C23.3C42φ: C4:C4/C4 → C4 ⊆ Aut C2xC4324(C2xC4).8(C4:C4)128,124
(C2xC4).9(C4:C4) = C24.6D4φ: C4:C4/C4 → C4 ⊆ Aut C2xC432(C2xC4).9(C4:C4)128,125
(C2xC4).10(C4:C4) = C42.97D4φ: C4:C4/C4 → C4 ⊆ Aut C2xC464(C2xC4).10(C4:C4)128,533
(C2xC4).11(C4:C4) = (C2xD4).24Q8φ: C4:C4/C4 → C4 ⊆ Aut C2xC4324(C2xC4).11(C4:C4)128,544
(C2xC4).12(C4:C4) = (C2xC8).103D4φ: C4:C4/C4 → C4 ⊆ Aut C2xC4324(C2xC4).12(C4:C4)128,545
(C2xC4).13(C4:C4) = C24.46D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).13(C4:C4)128,16
(C2xC4).14(C4:C4) = C42.23D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).14(C4:C4)128,19
(C2xC4).15(C4:C4) = C42.6Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).15(C4:C4)128,20
(C2xC4).16(C4:C4) = C23.8D8φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).16(C4:C4)128,21
(C2xC4).17(C4:C4) = C42.25D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).17(C4:C4)128,22
(C2xC4).18(C4:C4) = C42.26D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).18(C4:C4)128,23
(C2xC4).19(C4:C4) = C42.27D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).19(C4:C4)128,24
(C2xC4).20(C4:C4) = C42.7Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC4128(C2xC4).20(C4:C4)128,27
(C2xC4).21(C4:C4) = C42.9Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).21(C4:C4)128,32
(C2xC4).22(C4:C4) = C42.370D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).22(C4:C4)128,34
(C2xC4).23(C4:C4) = C23.C42φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).23(C4:C4)128,37
(C2xC4).24(C4:C4) = C23.8C42φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).24(C4:C4)128,38
(C2xC4).25(C4:C4) = C42.30D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).25(C4:C4)128,39
(C2xC4).26(C4:C4) = C42.31D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).26(C4:C4)128,40
(C2xC4).27(C4:C4) = C42.32D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).27(C4:C4)128,41
(C2xC4).28(C4:C4) = C8.C42φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).28(C4:C4)128,118
(C2xC4).29(C4:C4) = C8.2C42φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).29(C4:C4)128,119
(C2xC4).30(C4:C4) = M5(2).C4φ: C4:C4/C22 → C22 ⊆ Aut C2xC4324(C2xC4).30(C4:C4)128,120
(C2xC4).31(C4:C4) = C8.4C42φ: C4:C4/C22 → C22 ⊆ Aut C2xC4324(C2xC4).31(C4:C4)128,121
(C2xC4).32(C4:C4) = C24.632C23φ: C4:C4/C22 → C22 ⊆ Aut C2xC4128(C2xC4).32(C4:C4)128,174
(C2xC4).33(C4:C4) = C8:1M4(2)φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).33(C4:C4)128,301
(C2xC4).34(C4:C4) = C42.90D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).34(C4:C4)128,302
(C2xC4).35(C4:C4) = C42.91D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).35(C4:C4)128,303
(C2xC4).36(C4:C4) = C42.Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).36(C4:C4)128,304
(C2xC4).37(C4:C4) = C42.92D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).37(C4:C4)128,305
(C2xC4).38(C4:C4) = C24.63D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).38(C4:C4)128,465
(C2xC4).39(C4:C4) = C24.152D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).39(C4:C4)128,468
(C2xC4).40(C4:C4) = C24.7Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).40(C4:C4)128,470
(C2xC4).41(C4:C4) = C42.95D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).41(C4:C4)128,530
(C2xC4).42(C4:C4) = C24.67D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).42(C4:C4)128,541
(C2xC4).43(C4:C4) = C24.9Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).43(C4:C4)128,543
(C2xC4).44(C4:C4) = C42.23Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC4128(C2xC4).44(C4:C4)128,564
(C2xC4).45(C4:C4) = C42.24Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC4128(C2xC4).45(C4:C4)128,568
(C2xC4).46(C4:C4) = C42.104D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).46(C4:C4)128,570
(C2xC4).47(C4:C4) = C42.25Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC4128(C2xC4).47(C4:C4)128,575
(C2xC4).48(C4:C4) = C42.26Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC4128(C2xC4).48(C4:C4)128,579
(C2xC4).49(C4:C4) = C42.106D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).49(C4:C4)128,581
(C2xC4).50(C4:C4) = (C2xC8).195D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).50(C4:C4)128,583
(C2xC4).51(C4:C4) = C23.37D8φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).51(C4:C4)128,584
(C2xC4).52(C4:C4) = C24.159D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).52(C4:C4)128,585
(C2xC4).53(C4:C4) = C24.10Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).53(C4:C4)128,587
(C2xC4).54(C4:C4) = C42.27Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC4128(C2xC4).54(C4:C4)128,672
(C2xC4).55(C4:C4) = C42.31Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC4128(C2xC4).55(C4:C4)128,681
(C2xC4).56(C4:C4) = C42.430D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).56(C4:C4)128,682
(C2xC4).57(C4:C4) = M5(2):3C4φ: C4:C4/C22 → C22 ⊆ Aut C2xC4324(C2xC4).57(C4:C4)128,887
(C2xC4).58(C4:C4) = M5(2):1C4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).58(C4:C4)128,891
(C2xC4).59(C4:C4) = M5(2).1C4φ: C4:C4/C22 → C22 ⊆ Aut C2xC4324(C2xC4).59(C4:C4)128,893
(C2xC4).60(C4:C4) = C42.257C23φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).60(C4:C4)128,1637
(C2xC4).61(C4:C4) = C2xM4(2):C4φ: C4:C4/C22 → C22 ⊆ Aut C2xC464(C2xC4).61(C4:C4)128,1642
(C2xC4).62(C4:C4) = C24.100D4φ: C4:C4/C22 → C22 ⊆ Aut C2xC432(C2xC4).62(C4:C4)128,1643
(C2xC4).63(C4:C4) = C42.20D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).63(C4:C4)128,7
(C2xC4).64(C4:C4) = C42.385D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).64(C4:C4)128,9
(C2xC4).65(C4:C4) = M4(2):C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).65(C4:C4)128,10
(C2xC4).66(C4:C4) = C23.19C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).66(C4:C4)128,12
(C2xC4).67(C4:C4) = C23.21C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).67(C4:C4)128,14
(C2xC4).68(C4:C4) = C42.3Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).68(C4:C4)128,15
(C2xC4).69(C4:C4) = C42.4Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).69(C4:C4)128,17
(C2xC4).70(C4:C4) = C23.30D8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).70(C4:C4)128,26
(C2xC4).71(C4:C4) = C24.48D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).71(C4:C4)128,29
(C2xC4).72(C4:C4) = C42.388D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).72(C4:C4)128,31
(C2xC4).73(C4:C4) = C24.624C23φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).73(C4:C4)128,166
(C2xC4).74(C4:C4) = C8:8M4(2)φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).74(C4:C4)128,298
(C2xC4).75(C4:C4) = C8:7M4(2)φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).75(C4:C4)128,299
(C2xC4).76(C4:C4) = C42.43Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).76(C4:C4)128,300
(C2xC4).77(C4:C4) = C42.21Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).77(C4:C4)128,306
(C2xC4).78(C4:C4) = C43.7C2φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).78(C4:C4)128,499
(C2xC4).79(C4:C4) = C42.45Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).79(C4:C4)128,500
(C2xC4).80(C4:C4) = C8:C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).80(C4:C4)128,508
(C2xC4).81(C4:C4) = C8.6C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).81(C4:C4)128,510
(C2xC4).82(C4:C4) = C42.425D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).82(C4:C4)128,529
(C2xC4).83(C4:C4) = C24.133D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).83(C4:C4)128,539
(C2xC4).84(C4:C4) = C23.22D8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).84(C4:C4)128,540
(C2xC4).85(C4:C4) = C24.19Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).85(C4:C4)128,542
(C2xC4).86(C4:C4) = C42.56Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).86(C4:C4)128,567
(C2xC4).87(C4:C4) = C42.322D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).87(C4:C4)128,569
(C2xC4).88(C4:C4) = C42:9C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).88(C4:C4)128,574
(C2xC4).89(C4:C4) = C42.60Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).89(C4:C4)128,578
(C2xC4).90(C4:C4) = C23.21M4(2)φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).90(C4:C4)128,582
(C2xC4).91(C4:C4) = C24.71D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).91(C4:C4)128,586
(C2xC4).92(C4:C4) = C42:1C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).92(C4:C4)128,6
(C2xC4).93(C4:C4) = C42.46Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).93(C4:C4)128,11
(C2xC4).94(C4:C4) = C42.2Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).94(C4:C4)128,13
(C2xC4).95(C4:C4) = C42.5Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).95(C4:C4)128,18
(C2xC4).96(C4:C4) = C42.8Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).96(C4:C4)128,28
(C2xC4).97(C4:C4) = C42.389D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).97(C4:C4)128,33
(C2xC4).98(C4:C4) = C42.10Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).98(C4:C4)128,35
(C2xC4).99(C4:C4) = C16:1C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).99(C4:C4)128,100
(C2xC4).100(C4:C4) = C16.C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4324(C2xC4).100(C4:C4)128,101
(C2xC4).101(C4:C4) = C16:3C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).101(C4:C4)128,103
(C2xC4).102(C4:C4) = C16:4C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).102(C4:C4)128,104
(C2xC4).103(C4:C4) = C16.3C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4322(C2xC4).103(C4:C4)128,105
(C2xC4).104(C4:C4) = C42.2C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).104(C4:C4)128,107
(C2xC4).105(C4:C4) = M5(2):C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).105(C4:C4)128,109
(C2xC4).106(C4:C4) = M4(2).C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4324(C2xC4).106(C4:C4)128,110
(C2xC4).107(C4:C4) = M5(2):7C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).107(C4:C4)128,111
(C2xC4).108(C4:C4) = C8.7C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).108(C4:C4)128,112
(C2xC4).109(C4:C4) = C8.8C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).109(C4:C4)128,113
(C2xC4).110(C4:C4) = C8.9C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).110(C4:C4)128,114
(C2xC4).111(C4:C4) = C8.11C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).111(C4:C4)128,115
(C2xC4).112(C4:C4) = C23.9D8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4324(C2xC4).112(C4:C4)128,116
(C2xC4).113(C4:C4) = C8.13C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4324(C2xC4).113(C4:C4)128,117
(C2xC4).114(C4:C4) = C2xC8:2C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).114(C4:C4)128,294
(C2xC4).115(C4:C4) = C2xC8:1C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).115(C4:C4)128,295
(C2xC4).116(C4:C4) = M4(2):1C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).116(C4:C4)128,297
(C2xC4).117(C4:C4) = C23.28C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).117(C4:C4)128,460
(C2xC4).118(C4:C4) = C23.29C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).118(C4:C4)128,461
(C2xC4).119(C4:C4) = C2xC4.9C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).119(C4:C4)128,462
(C2xC4).120(C4:C4) = C2xC4.10C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).120(C4:C4)128,463
(C2xC4).121(C4:C4) = C2xC42:6C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).121(C4:C4)128,464
(C2xC4).122(C4:C4) = C2xC22.4Q16φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).122(C4:C4)128,466
(C2xC4).123(C4:C4) = C24.132D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).123(C4:C4)128,467
(C2xC4).124(C4:C4) = C2xC4.C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).124(C4:C4)128,469
(C2xC4).125(C4:C4) = C24.162C23φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).125(C4:C4)128,472
(C2xC4).126(C4:C4) = C2xC22.C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).126(C4:C4)128,473
(C2xC4).127(C4:C4) = C23.15C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).127(C4:C4)128,474
(C2xC4).128(C4:C4) = C2xM4(2):4C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).128(C4:C4)128,475
(C2xC4).129(C4:C4) = C42:8C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).129(C4:C4)128,563
(C2xC4).130(C4:C4) = C42.55Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).130(C4:C4)128,566
(C2xC4).131(C4:C4) = C42.58Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).131(C4:C4)128,576
(C2xC4).132(C4:C4) = C42.59Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).132(C4:C4)128,577
(C2xC4).133(C4:C4) = C42.324D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).133(C4:C4)128,580
(C2xC4).134(C4:C4) = C42.61Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).134(C4:C4)128,671
(C2xC4).135(C4:C4) = C42.29Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).135(C4:C4)128,679
(C2xC4).136(C4:C4) = C42.30Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).136(C4:C4)128,680
(C2xC4).137(C4:C4) = C4:M5(2)φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).137(C4:C4)128,882
(C2xC4).138(C4:C4) = C4:C4.7C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).138(C4:C4)128,883
(C2xC4).139(C4:C4) = C2xC8.C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).139(C4:C4)128,884
(C2xC4).140(C4:C4) = M4(2).1C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4324(C2xC4).140(C4:C4)128,885
(C2xC4).141(C4:C4) = C2xC8.Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).141(C4:C4)128,886
(C2xC4).142(C4:C4) = C2xC16:3C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).142(C4:C4)128,888
(C2xC4).143(C4:C4) = C2xC16:4C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).143(C4:C4)128,889
(C2xC4).144(C4:C4) = C23.25D8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).144(C4:C4)128,890
(C2xC4).145(C4:C4) = C2xC8.4Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).145(C4:C4)128,892
(C2xC4).146(C4:C4) = C2xC42:8C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).146(C4:C4)128,1013
(C2xC4).147(C4:C4) = C2xC4:M4(2)φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).147(C4:C4)128,1635
(C2xC4).148(C4:C4) = C2xC42.6C22φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).148(C4:C4)128,1636
(C2xC4).149(C4:C4) = C22xC4.Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).149(C4:C4)128,1639
(C2xC4).150(C4:C4) = C22xC2.D8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC4128(C2xC4).150(C4:C4)128,1640
(C2xC4).151(C4:C4) = C2xC23.25D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).151(C4:C4)128,1641
(C2xC4).152(C4:C4) = C22xC8.C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC464(C2xC4).152(C4:C4)128,1646
(C2xC4).153(C4:C4) = C2xM4(2).C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC432(C2xC4).153(C4:C4)128,1647
(C2xC4).154(C4:C4) = C2.C82central extension (φ=1)128(C2xC4).154(C4:C4)128,5
(C2xC4).155(C4:C4) = C42:6C8central extension (φ=1)32(C2xC4).155(C4:C4)128,8
(C2xC4).156(C4:C4) = C8:2C16central extension (φ=1)128(C2xC4).156(C4:C4)128,99
(C2xC4).157(C4:C4) = C8.36D8central extension (φ=1)128(C2xC4).157(C4:C4)128,102
(C2xC4).158(C4:C4) = C22.7M5(2)central extension (φ=1)128(C2xC4).158(C4:C4)128,106
(C2xC4).159(C4:C4) = C42.7C8central extension (φ=1)32(C2xC4).159(C4:C4)128,108
(C2xC4).160(C4:C4) = C4xC2.C42central extension (φ=1)128(C2xC4).160(C4:C4)128,164
(C2xC4).161(C4:C4) = C42.42Q8central extension (φ=1)64(C2xC4).161(C4:C4)128,296
(C2xC4).162(C4:C4) = C2xC22.7C42central extension (φ=1)128(C2xC4).162(C4:C4)128,459
(C2xC4).163(C4:C4) = C4xC4:C8central extension (φ=1)128(C2xC4).163(C4:C4)128,498
(C2xC4).164(C4:C4) = C4xC4.Q8central extension (φ=1)128(C2xC4).164(C4:C4)128,506
(C2xC4).165(C4:C4) = C4xC2.D8central extension (φ=1)128(C2xC4).165(C4:C4)128,507
(C2xC4).166(C4:C4) = C4xC8.C4central extension (φ=1)64(C2xC4).166(C4:C4)128,509
(C2xC4).167(C4:C4) = C2xC4:C16central extension (φ=1)128(C2xC4).167(C4:C4)128,881
(C2xC4).168(C4:C4) = C22xC4:C8central extension (φ=1)128(C2xC4).168(C4:C4)128,1634

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