Extensions 1→N→G→Q→1 with N=C2×C8 and Q=C2×C4

Direct product G=N×Q with N=C2×C8 and Q=C2×C4
dρLabelID
C22×C4×C8128C2^2xC4xC8128,1601

Semidirect products G=N:Q with N=C2×C8 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊(C2×C4) = C42.5D4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C8168+(C2xC8):(C2xC4)128,636
(C2×C8)⋊2(C2×C4) = C2×C4.9C42φ: C2×C4/C2C4 ⊆ Aut C2×C832(C2xC8):2(C2xC4)128,462
(C2×C8)⋊3(C2×C4) = C2×M4(2)⋊4C4φ: C2×C4/C2C4 ⊆ Aut C2×C832(C2xC8):3(C2xC4)128,475
(C2×C8)⋊4(C2×C4) = C23.37D8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):4(C2xC4)128,584
(C2×C8)⋊5(C2×C4) = C2.(C4×D8)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):5(C2xC4)128,594
(C2×C8)⋊6(C2×C4) = (C2×C4)⋊9D8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):6(C2xC4)128,611
(C2×C8)⋊7(C2×C4) = C2×M4(2)⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):7(C2xC4)128,1642
(C2×C8)⋊8(C2×C4) = C24.100D4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8):8(C2xC4)128,1643
(C2×C8)⋊9(C2×C4) = C4○D4.7Q8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):9(C2xC4)128,1644
(C2×C8)⋊10(C2×C4) = C4○D4.8Q8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):10(C2xC4)128,1645
(C2×C8)⋊11(C2×C4) = C2×SD16⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):11(C2xC4)128,1672
(C2×C8)⋊12(C2×C4) = C2×D8⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):12(C2xC4)128,1674
(C2×C8)⋊13(C2×C4) = C42.383D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):13(C2xC4)128,1675
(C2×C8)⋊14(C2×C4) = C42.277C23φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8):14(C2xC4)128,1680
(C2×C8)⋊15(C2×C4) = C42.278C23φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8):15(C2xC4)128,1681
(C2×C8)⋊16(C2×C4) = C42.280C23φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):16(C2xC4)128,1683
(C2×C8)⋊17(C2×C4) = C42.281C23φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):17(C2xC4)128,1684
(C2×C8)⋊18(C2×C4) = C24.159D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):18(C2xC4)128,585
(C2×C8)⋊19(C2×C4) = D4⋊(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):19(C2xC4)128,596
(C2×C8)⋊20(C2×C4) = (C2×SD16)⋊14C4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):20(C2xC4)128,609
(C2×C8)⋊21(C2×C4) = C23.28C42φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):21(C2xC4)128,460
(C2×C8)⋊22(C2×C4) = C24.152D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):22(C2xC4)128,468
(C2×C8)⋊23(C2×C4) = C42.378D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):23(C2xC4)128,481
(C2×C8)⋊24(C2×C4) = D4⋊C42φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):24(C2xC4)128,494
(C2×C8)⋊25(C2×C4) = M4(2)○2M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8):25(C2xC4)128,1605
(C2×C8)⋊26(C2×C4) = D4.5C42φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8):26(C2xC4)128,1607
(C2×C8)⋊27(C2×C4) = C4×C22⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8):27(C2xC4)128,480
(C2×C8)⋊28(C2×C4) = C4×D4⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8):28(C2xC4)128,492
(C2×C8)⋊29(C2×C4) = C2×C4×D8φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8):29(C2xC4)128,1668
(C2×C8)⋊30(C2×C4) = C4×C4○D8φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8):30(C2xC4)128,1671
(C2×C8)⋊31(C2×C4) = C2×C4×SD16φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8):31(C2xC4)128,1669
(C2×C8)⋊32(C2×C4) = C2×C4×M4(2)φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8):32(C2xC4)128,1603
(C2×C8)⋊33(C2×C4) = C4×C8○D4φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8):33(C2xC4)128,1606
(C2×C8)⋊34(C2×C4) = C2×C22.7C42φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8):34(C2xC4)128,459
(C2×C8)⋊35(C2×C4) = C2×C22.4Q16φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8):35(C2xC4)128,466
(C2×C8)⋊36(C2×C4) = C22×C2.D8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8):36(C2xC4)128,1640
(C2×C8)⋊37(C2×C4) = C2×C23.25D4φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8):37(C2xC4)128,1641
(C2×C8)⋊38(C2×C4) = C22×C4.Q8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8):38(C2xC4)128,1639
(C2×C8)⋊39(C2×C4) = C22×C8⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8):39(C2xC4)128,1602
(C2×C8)⋊40(C2×C4) = C2×C82M4(2)φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8):40(C2xC4)128,1604

Non-split extensions G=N.Q with N=C2×C8 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C8).1(C2×C4) = C23.D8φ: C2×C4/C1C2×C4 ⊆ Aut C2×C8168+(C2xC8).1(C2xC4)128,71
(C2×C8).2(C2×C4) = C23.2D8φ: C2×C4/C1C2×C4 ⊆ Aut C2×C8328-(C2xC8).2(C2xC4)128,72
(C2×C8).3(C2×C4) = C23.SD16φ: C2×C4/C1C2×C4 ⊆ Aut C2×C8168+(C2xC8).3(C2xC4)128,73
(C2×C8).4(C2×C4) = C23.2SD16φ: C2×C4/C1C2×C4 ⊆ Aut C2×C8328-(C2xC8).4(C2xC4)128,74
(C2×C8).5(C2×C4) = M4(2).46D4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C8328-(C2xC8).5(C2xC4)128,634
(C2×C8).6(C2×C4) = M4(2).47D4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C8168+(C2xC8).6(C2xC4)128,635
(C2×C8).7(C2×C4) = C42.6D4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C8328-(C2xC8).7(C2xC4)128,637
(C2×C8).8(C2×C4) = C2×C4.10C42φ: C2×C4/C2C4 ⊆ Aut C2×C832(C2xC8).8(C2xC4)128,463
(C2×C8).9(C2×C4) = C8.16C42φ: C2×C4/C2C4 ⊆ Aut C2×C8324(C2xC8).9(C2xC4)128,479
(C2×C8).10(C2×C4) = C23.5C42φ: C2×C4/C2C4 ⊆ Aut C2×C8324(C2xC8).10(C2xC4)128,489
(C2×C8).11(C2×C4) = (C2×D4).24Q8φ: C2×C4/C2C4 ⊆ Aut C2×C8324(C2xC8).11(C2xC4)128,544
(C2×C8).12(C2×C4) = (C2×C8).103D4φ: C2×C4/C2C4 ⊆ Aut C2×C8324(C2xC8).12(C2xC4)128,545
(C2×C8).13(C2×C4) = C8.(C4⋊C4)φ: C2×C4/C2C4 ⊆ Aut C2×C8324(C2xC8).13(C2xC4)128,565
(C2×C8).14(C2×C4) = C8⋊C417C4φ: C2×C4/C2C4 ⊆ Aut C2×C8164(C2xC8).14(C2xC4)128,573
(C2×C8).15(C2×C4) = C8.5M4(2)φ: C2×C4/C2C4 ⊆ Aut C2×C8164(C2xC8).15(C2xC4)128,897
(C2×C8).16(C2×C4) = C8.19M4(2)φ: C2×C4/C2C4 ⊆ Aut C2×C8324(C2xC8).16(C2xC4)128,898
(C2×C8).17(C2×C4) = C22.SD32φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).17(C2xC4)128,79
(C2×C8).18(C2×C4) = C23.32D8φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).18(C2xC4)128,80
(C2×C8).19(C2×C4) = C23.12SD16φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).19(C2xC4)128,81
(C2×C8).20(C2×C4) = C23.13SD16φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).20(C2xC4)128,82
(C2×C8).21(C2×C4) = C8.30D8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).21(C2xC4)128,92
(C2×C8).22(C2×C4) = C4.D16φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).22(C2xC4)128,93
(C2×C8).23(C2×C4) = C8.27D8φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).23(C2xC4)128,94
(C2×C8).24(C2×C4) = C8.16Q16φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).24(C2xC4)128,95
(C2×C8).25(C2×C4) = C4.10D16φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).25(C2xC4)128,96
(C2×C8).26(C2×C4) = C4.6Q32φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).26(C2xC4)128,97
(C2×C8).27(C2×C4) = C42.91D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).27(C2xC4)128,303
(C2×C8).28(C2×C4) = C42.Q8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).28(C2xC4)128,304
(C2×C8).29(C2×C4) = C42.92D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).29(C2xC4)128,305
(C2×C8).30(C2×C4) = C89D8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).30(C2xC4)128,313
(C2×C8).31(C2×C4) = C89Q16φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).31(C2xC4)128,316
(C2×C8).32(C2×C4) = D4.M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).32(C2xC4)128,317
(C2×C8).33(C2×C4) = Q82M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).33(C2xC4)128,320
(C2×C8).34(C2×C4) = C24.10Q8φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).34(C2xC4)128,587
(C2×C8).35(C2×C4) = Q8⋊(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).35(C2xC4)128,595
(C2×C8).36(C2×C4) = M4(2).42D4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).36(C2xC4)128,598
(C2×C8).37(C2×C4) = (C2×C4)⋊9Q16φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).37(C2xC4)128,610
(C2×C8).38(C2×C4) = C2.D84C4φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).38(C2xC4)128,650
(C2×C8).39(C2×C4) = C2.D85C4φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).39(C2xC4)128,653
(C2×C8).40(C2×C4) = M4(2).3Q8φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).40(C2xC4)128,654
(C2×C8).41(C2×C4) = D4⋊C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).41(C2xC4)128,657
(C2×C8).42(C2×C4) = C2.(C4×Q16)φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).42(C2xC4)128,660
(C2×C8).43(C2×C4) = M4(2).24D4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).43(C2xC4)128,661
(C2×C8).44(C2×C4) = C42.29Q8φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).44(C2xC4)128,679
(C2×C8).45(C2×C4) = C42.430D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).45(C2xC4)128,682
(C2×C8).46(C2×C4) = D8⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).46(C2xC4)128,65
(C2×C8).47(C2×C4) = Q16⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).47(C2xC4)128,66
(C2×C8).48(C2×C4) = C8.32D8φ: C2×C4/C2C22 ⊆ Aut C2×C8164(C2xC8).48(C2xC4)128,68
(C2×C8).49(C2×C4) = C8.11C42φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).49(C2xC4)128,115
(C2×C8).50(C2×C4) = C23.9D8φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).50(C2xC4)128,116
(C2×C8).51(C2×C4) = C8.13C42φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).51(C2xC4)128,117
(C2×C8).52(C2×C4) = C8.C42φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).52(C2xC4)128,118
(C2×C8).53(C2×C4) = C8.2C42φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).53(C2xC4)128,119
(C2×C8).54(C2×C4) = M5(2).C4φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).54(C2xC4)128,120
(C2×C8).55(C2×C4) = C8.4C42φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).55(C2xC4)128,121
(C2×C8).56(C2×C4) = M4(2)⋊1C8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).56(C2xC4)128,297
(C2×C8).57(C2×C4) = C8⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).57(C2xC4)128,324
(C2×C8).58(C2×C4) = C8.M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).58(C2xC4)128,325
(C2×C8).59(C2×C4) = C83M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).59(C2xC4)128,326
(C2×C8).60(C2×C4) = C8○D4⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).60(C2xC4)128,546
(C2×C8).61(C2×C4) = C4○D4.4Q8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).61(C2xC4)128,547
(C2×C8).62(C2×C4) = C4○D4.5Q8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).62(C2xC4)128,548
(C2×C8).63(C2×C4) = C42.26Q8φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).63(C2xC4)128,579
(C2×C8).64(C2×C4) = C42.106D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).64(C2xC4)128,581
(C2×C8).65(C2×C4) = C4.(C4×Q8)φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).65(C2xC4)128,675
(C2×C8).66(C2×C4) = C8⋊(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).66(C2xC4)128,676
(C2×C8).67(C2×C4) = C42.28Q8φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).67(C2xC4)128,678
(C2×C8).68(C2×C4) = M4(2).5Q8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).68(C2xC4)128,683
(C2×C8).69(C2×C4) = M4(2).6Q8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).69(C2xC4)128,684
(C2×C8).70(C2×C4) = M4(2).27D4φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).70(C2xC4)128,685
(C2×C8).71(C2×C4) = (C2×Q16)⋊10C4φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).71(C2xC4)128,703
(C2×C8).72(C2×C4) = (C2×D8)⋊10C4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).72(C2xC4)128,704
(C2×C8).73(C2×C4) = C8⋊(C22⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).73(C2xC4)128,705
(C2×C8).74(C2×C4) = C42.116D4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).74(C2xC4)128,707
(C2×C8).75(C2×C4) = M4(2).30D4φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).75(C2xC4)128,708
(C2×C8).76(C2×C4) = M4(2).31D4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).76(C2xC4)128,709
(C2×C8).77(C2×C4) = M4(2).32D4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).77(C2xC4)128,710
(C2×C8).78(C2×C4) = M4(2).33D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).78(C2xC4)128,711
(C2×C8).79(C2×C4) = C23.39D8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).79(C2xC4)128,871
(C2×C8).80(C2×C4) = C23.40D8φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).80(C2xC4)128,872
(C2×C8).81(C2×C4) = C23.41D8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).81(C2xC4)128,873
(C2×C8).82(C2×C4) = C23.20SD16φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).82(C2xC4)128,875
(C2×C8).83(C2×C4) = C2×D82C4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).83(C2xC4)128,876
(C2×C8).84(C2×C4) = C23.13D8φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).84(C2xC4)128,877
(C2×C8).85(C2×C4) = C2×M5(2)⋊C2φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).85(C2xC4)128,878
(C2×C8).86(C2×C4) = C2×C8.17D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).86(C2xC4)128,879
(C2×C8).87(C2×C4) = C23.21SD16φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).87(C2xC4)128,880
(C2×C8).88(C2×C4) = M4(2).1C8φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).88(C2xC4)128,885
(C2×C8).89(C2×C4) = C2×C8.Q8φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).89(C2xC4)128,886
(C2×C8).90(C2×C4) = M5(2)⋊3C4φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).90(C2xC4)128,887
(C2×C8).91(C2×C4) = M5(2)⋊1C4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).91(C2xC4)128,891
(C2×C8).92(C2×C4) = M5(2).1C4φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).92(C2xC4)128,893
(C2×C8).93(C2×C4) = D8.C8φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).93(C2xC4)128,903
(C2×C8).94(C2×C4) = C2×M4(2).C4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).94(C2xC4)128,1647
(C2×C8).95(C2×C4) = M4(2).29C23φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).95(C2xC4)128,1648
(C2×C8).96(C2×C4) = C2×Q16⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).96(C2xC4)128,1673
(C2×C8).97(C2×C4) = C42.279C23φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).97(C2xC4)128,1682
(C2×C8).98(C2×C4) = C2×C8.26D4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).98(C2xC4)128,1686
(C2×C8).99(C2×C4) = M4(2)○D8φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).99(C2xC4)128,1689
(C2×C8).100(C2×C4) = C42.90D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).100(C2xC4)128,302
(C2×C8).101(C2×C4) = C42.21Q8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).101(C2xC4)128,306
(C2×C8).102(C2×C4) = C812SD16φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).102(C2xC4)128,314
(C2×C8).103(C2×C4) = C815SD16φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).103(C2xC4)128,315
(C2×C8).104(C2×C4) = D42M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).104(C2xC4)128,318
(C2×C8).105(C2×C4) = Q8.M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).105(C2xC4)128,319
(C2×C8).106(C2×C4) = C24.71D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).106(C2xC4)128,586
(C2×C8).107(C2×C4) = Q8⋊C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).107(C2xC4)128,597
(C2×C8).108(C2×C4) = M4(2).43D4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).108(C2xC4)128,608
(C2×C8).109(C2×C4) = (C2×SD16)⋊15C4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).109(C2xC4)128,612
(C2×C8).110(C2×C4) = C4.Q89C4φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).110(C2xC4)128,651
(C2×C8).111(C2×C4) = C4.Q810C4φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).111(C2xC4)128,652
(C2×C8).112(C2×C4) = C4.67(C4×D4)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).112(C2xC4)128,658
(C2×C8).113(C2×C4) = C4.68(C4×D4)φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).113(C2xC4)128,659
(C2×C8).114(C2×C4) = C42.30Q8φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).114(C2xC4)128,680
(C2×C8).115(C2×C4) = C42.31Q8φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).115(C2xC4)128,681
(C2×C8).116(C2×C4) = M5(2)⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).116(C2xC4)128,109
(C2×C8).117(C2×C4) = C89M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).117(C2xC4)128,183
(C2×C8).118(C2×C4) = C23.27C42φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).118(C2xC4)128,184
(C2×C8).119(C2×C4) = C8215C2φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).119(C2xC4)128,185
(C2×C8).120(C2×C4) = C822C2φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).120(C2xC4)128,186
(C2×C8).121(C2×C4) = C86M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).121(C2xC4)128,187
(C2×C8).122(C2×C4) = C81M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).122(C2xC4)128,301
(C2×C8).123(C2×C4) = SD16⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).123(C2xC4)128,310
(C2×C8).124(C2×C4) = Q165C8φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).124(C2xC4)128,311
(C2×C8).125(C2×C4) = D85C8φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).125(C2xC4)128,312
(C2×C8).126(C2×C4) = C23.29C42φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).126(C2xC4)128,461
(C2×C8).127(C2×C4) = C24.7Q8φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).127(C2xC4)128,470
(C2×C8).128(C2×C4) = C43.C2φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).128(C2xC4)128,477
(C2×C8).129(C2×C4) = (C4×C8)⋊12C4φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).129(C2xC4)128,478
(C2×C8).130(C2×C4) = C42.379D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).130(C2xC4)128,482
(C2×C8).131(C2×C4) = C23.36C42φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).131(C2xC4)128,484
(C2×C8).132(C2×C4) = C23.17C42φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).132(C2xC4)128,485
(C2×C8).133(C2×C4) = Q8⋊C42φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).133(C2xC4)128,495
(C2×C8).134(C2×C4) = D4.3C42φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).134(C2xC4)128,497
(C2×C8).135(C2×C4) = C43.7C2φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).135(C2xC4)128,499
(C2×C8).136(C2×C4) = C42.45Q8φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).136(C2xC4)128,500
(C2×C8).137(C2×C4) = C4⋊C813C4φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).137(C2xC4)128,502
(C2×C8).138(C2×C4) = C4⋊C814C4φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).138(C2xC4)128,503
(C2×C8).139(C2×C4) = C8.5C42φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).139(C2xC4)128,505
(C2×C8).140(C2×C4) = C8⋊C42φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).140(C2xC4)128,508
(C2×C8).141(C2×C4) = C8.6C42φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).141(C2xC4)128,510
(C2×C8).142(C2×C4) = C24.67D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).142(C2xC4)128,541
(C2×C8).143(C2×C4) = C24.9Q8φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).143(C2xC4)128,543
(C2×C8).144(C2×C4) = C42.24Q8φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).144(C2xC4)128,568
(C2×C8).145(C2×C4) = C42.104D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).145(C2xC4)128,570
(C2×C8).146(C2×C4) = C2.(C8⋊D4)φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).146(C2xC4)128,667
(C2×C8).147(C2×C4) = C2.(C82D4)φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).147(C2xC4)128,668
(C2×C8).148(C2×C4) = C42.107D4φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).148(C2xC4)128,670
(C2×C8).149(C2×C4) = C2×C23.C8φ: C2×C4/C2C22 ⊆ Aut C2×C832(C2xC8).149(C2xC4)128,846
(C2×C8).150(C2×C4) = M5(2)⋊12C22φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).150(C2xC4)128,849
(C2×C8).151(C2×C4) = C169D4φ: C2×C4/C2C22 ⊆ Aut C2×C864(C2xC8).151(C2xC4)128,900
(C2×C8).152(C2×C4) = C164Q8φ: C2×C4/C2C22 ⊆ Aut C2×C8128(C2xC8).152(C2xC4)128,915
(C2×C8).153(C2×C4) = Q8○M5(2)φ: C2×C4/C2C22 ⊆ Aut C2×C8324(C2xC8).153(C2xC4)128,2139
(C2×C8).154(C2×C4) = C8×D8φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).154(C2xC4)128,307
(C2×C8).155(C2×C4) = C8×SD16φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).155(C2xC4)128,308
(C2×C8).156(C2×C4) = C8×Q16φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).156(C2xC4)128,309
(C2×C8).157(C2×C4) = C4×Q8⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).157(C2xC4)128,493
(C2×C8).158(C2×C4) = C4×C4⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).158(C2xC4)128,498
(C2×C8).159(C2×C4) = C2.(C88D4)φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).159(C2xC4)128,665
(C2×C8).160(C2×C4) = C2.(C87D4)φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).160(C2xC4)128,666
(C2×C8).161(C2×C4) = C42.428D4φ: C2×C4/C4C2 ⊆ Aut C2×C832(C2xC8).161(C2xC4)128,669
(C2×C8).162(C2×C4) = D4×C16φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).162(C2xC4)128,899
(C2×C8).163(C2×C4) = C166D4φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).163(C2xC4)128,901
(C2×C8).164(C2×C4) = Q8×C16φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).164(C2xC4)128,914
(C2×C8).165(C2×C4) = C4.16D16φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).165(C2xC4)128,63
(C2×C8).166(C2×C4) = Q161C8φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).166(C2xC4)128,64
(C2×C8).167(C2×C4) = C8.7C42φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).167(C2xC4)128,112
(C2×C8).168(C2×C4) = C8.9C42φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).168(C2xC4)128,114
(C2×C8).169(C2×C4) = C86D8φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).169(C2xC4)128,321
(C2×C8).170(C2×C4) = C86Q16φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).170(C2xC4)128,323
(C2×C8).171(C2×C4) = C85(C4⋊C4)φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).171(C2xC4)128,674
(C2×C8).172(C2×C4) = (C2×C4)⋊6Q16φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).172(C2xC4)128,701
(C2×C8).173(C2×C4) = (C2×C4)⋊6D8φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).173(C2xC4)128,702
(C2×C8).174(C2×C4) = C2×C2.D16φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).174(C2xC4)128,868
(C2×C8).175(C2×C4) = C2×C2.Q32φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).175(C2xC4)128,869
(C2×C8).176(C2×C4) = C2×C4×Q16φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).176(C2xC4)128,1670
(C2×C8).177(C2×C4) = C8≀C2φ: C2×C4/C4C2 ⊆ Aut C2×C8162(C2xC8).177(C2xC4)128,67
(C2×C8).178(C2×C4) = C8.8C42φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).178(C2xC4)128,113
(C2×C8).179(C2×C4) = C23.24D8φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).179(C2xC4)128,870
(C2×C8).180(C2×C4) = C2×D8.C4φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).180(C2xC4)128,874
(C2×C8).181(C2×C4) = C16○D8φ: C2×C4/C4C2 ⊆ Aut C2×C8322(C2xC8).181(C2xC4)128,902
(C2×C8).182(C2×C4) = C89SD16φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).182(C2xC4)128,322
(C2×C8).183(C2×C4) = C87(C4⋊C4)φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).183(C2xC4)128,673
(C2×C8).184(C2×C4) = C42.62Q8φ: C2×C4/C4C2 ⊆ Aut C2×C832(C2xC8).184(C2xC4)128,677
(C2×C8).185(C2×C4) = (C2×C4)⋊9SD16φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).185(C2xC4)128,700
(C2×C8).186(C2×C4) = C42.326D4φ: C2×C4/C4C2 ⊆ Aut C2×C832(C2xC8).186(C2xC4)128,706
(C2×C8).187(C2×C4) = C2×C8○D8φ: C2×C4/C4C2 ⊆ Aut C2×C832(C2xC8).187(C2xC4)128,1685
(C2×C8).188(C2×C4) = C42.7C8φ: C2×C4/C4C2 ⊆ Aut C2×C832(C2xC8).188(C2xC4)128,108
(C2×C8).189(C2×C4) = D4.C16φ: C2×C4/C4C2 ⊆ Aut C2×C8642(C2xC8).189(C2xC4)128,133
(C2×C8).190(C2×C4) = C2.C43φ: C2×C4/C4C2 ⊆ Aut C2×C8128(C2xC8).190(C2xC4)128,458
(C2×C8).191(C2×C4) = Q8.C42φ: C2×C4/C4C2 ⊆ Aut C2×C832(C2xC8).191(C2xC4)128,496
(C2×C8).192(C2×C4) = C4×M5(2)φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).192(C2xC4)128,839
(C2×C8).193(C2×C4) = (C2×D4).5C8φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).193(C2xC4)128,845
(C2×C8).194(C2×C4) = C2×D4.C8φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).194(C2xC4)128,848
(C2×C8).195(C2×C4) = C4⋊C4.7C8φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).195(C2xC4)128,883
(C2×C8).196(C2×C4) = C8.12M4(2)φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).196(C2xC4)128,896
(C2×C8).197(C2×C4) = D4○C32φ: C2×C4/C4C2 ⊆ Aut C2×C8642(C2xC8).197(C2xC4)128,990
(C2×C8).198(C2×C4) = C2×D4○C16φ: C2×C4/C4C2 ⊆ Aut C2×C864(C2xC8).198(C2xC4)128,2138
(C2×C8).199(C2×C4) = C2×C8⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).199(C2xC4)128,180
(C2×C8).200(C2×C4) = C24.132D4φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).200(C2xC4)128,467
(C2×C8).201(C2×C4) = C2×C4.C42φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).201(C2xC4)128,469
(C2×C8).202(C2×C4) = C424C8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).202(C2xC4)128,476
(C2×C8).203(C2×C4) = C8×C22⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).203(C2xC4)128,483
(C2×C8).204(C2×C4) = C8×C4⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).204(C2xC4)128,501
(C2×C8).205(C2×C4) = C4×C4.Q8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).205(C2xC4)128,506
(C2×C8).206(C2×C4) = C4×C2.D8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).206(C2xC4)128,507
(C2×C8).207(C2×C4) = C4×C8.C4φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).207(C2xC4)128,509
(C2×C8).208(C2×C4) = C24.133D4φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).208(C2xC4)128,539
(C2×C8).209(C2×C4) = C23.22D8φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).209(C2xC4)128,540
(C2×C8).210(C2×C4) = C24.19Q8φ: C2×C4/C22C2 ⊆ Aut C2×C832(C2xC8).210(C2xC4)128,542
(C2×C8).211(C2×C4) = C42.55Q8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).211(C2xC4)128,566
(C2×C8).212(C2×C4) = C42.56Q8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).212(C2xC4)128,567
(C2×C8).213(C2×C4) = C42.322D4φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).213(C2xC4)128,569
(C2×C8).214(C2×C4) = C2×C22⋊C16φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).214(C2xC4)128,843
(C2×C8).215(C2×C4) = C2×C4⋊C16φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).215(C2xC4)128,881
(C2×C8).216(C2×C4) = C163C8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).216(C2xC4)128,103
(C2×C8).217(C2×C4) = C164C8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).217(C2xC4)128,104
(C2×C8).218(C2×C4) = C2×C81C8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).218(C2xC4)128,295
(C2×C8).219(C2×C4) = C42.42Q8φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).219(C2xC4)128,296
(C2×C8).220(C2×C4) = C87M4(2)φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).220(C2xC4)128,299
(C2×C8).221(C2×C4) = C42.59Q8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).221(C2xC4)128,577
(C2×C8).222(C2×C4) = C2×C163C4φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).222(C2xC4)128,888
(C2×C8).223(C2×C4) = C2×C164C4φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).223(C2xC4)128,889
(C2×C8).224(C2×C4) = C16.C8φ: C2×C4/C22C2 ⊆ Aut C2×C8324(C2xC8).224(C2xC4)128,101
(C2×C8).225(C2×C4) = C16.3C8φ: C2×C4/C22C2 ⊆ Aut C2×C8322(C2xC8).225(C2xC4)128,105
(C2×C8).226(C2×C4) = C23.25D8φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).226(C2xC4)128,890
(C2×C8).227(C2×C4) = C2×C8.4Q8φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).227(C2xC4)128,892
(C2×C8).228(C2×C4) = C22×C8.C4φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).228(C2xC4)128,1646
(C2×C8).229(C2×C4) = C161C8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).229(C2xC4)128,100
(C2×C8).230(C2×C4) = C2×C82C8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).230(C2xC4)128,294
(C2×C8).231(C2×C4) = C88M4(2)φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).231(C2xC4)128,298
(C2×C8).232(C2×C4) = C42.43Q8φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).232(C2xC4)128,300
(C2×C8).233(C2×C4) = C42.58Q8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).233(C2xC4)128,576
(C2×C8).234(C2×C4) = C42.60Q8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).234(C2xC4)128,578
(C2×C8).235(C2×C4) = C42.324D4φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).235(C2xC4)128,580
(C2×C8).236(C2×C4) = C16⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).236(C2xC4)128,45
(C2×C8).237(C2×C4) = C42.2C8φ: C2×C4/C22C2 ⊆ Aut C2×C832(C2xC8).237(C2xC4)128,107
(C2×C8).238(C2×C4) = M4(2).C8φ: C2×C4/C22C2 ⊆ Aut C2×C8324(C2xC8).238(C2xC4)128,110
(C2×C8).239(C2×C4) = M5(2)⋊7C4φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).239(C2xC4)128,111
(C2×C8).240(C2×C4) = C32⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C8324(C2xC8).240(C2xC4)128,130
(C2×C8).241(C2×C4) = C23.C16φ: C2×C4/C22C2 ⊆ Aut C2×C8324(C2xC8).241(C2xC4)128,132
(C2×C8).242(C2×C4) = C8.C16φ: C2×C4/C22C2 ⊆ Aut C2×C8322(C2xC8).242(C2xC4)128,154
(C2×C8).243(C2×C4) = C4×C8⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).243(C2xC4)128,457
(C2×C8).244(C2×C4) = C8.14C42φ: C2×C4/C22C2 ⊆ Aut C2×C832(C2xC8).244(C2xC4)128,504
(C2×C8).245(C2×C4) = C2×C165C4φ: C2×C4/C22C2 ⊆ Aut C2×C8128(C2xC8).245(C2xC4)128,838
(C2×C8).246(C2×C4) = C162M5(2)φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).246(C2xC4)128,840
(C2×C8).247(C2×C4) = C2×C16⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C832(C2xC8).247(C2xC4)128,841
(C2×C8).248(C2×C4) = C8.23C42φ: C2×C4/C22C2 ⊆ Aut C2×C8324(C2xC8).248(C2xC4)128,842
(C2×C8).249(C2×C4) = C24.5C8φ: C2×C4/C22C2 ⊆ Aut C2×C832(C2xC8).249(C2xC4)128,844
(C2×C8).250(C2×C4) = M5(2).19C22φ: C2×C4/C22C2 ⊆ Aut C2×C8324(C2xC8).250(C2xC4)128,847
(C2×C8).251(C2×C4) = C4⋊M5(2)φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).251(C2xC4)128,882
(C2×C8).252(C2×C4) = C2×C8.C8φ: C2×C4/C22C2 ⊆ Aut C2×C832(C2xC8).252(C2xC4)128,884
(C2×C8).253(C2×C4) = C42.6C8φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).253(C2xC4)128,895
(C2×C8).254(C2×C4) = C2×M6(2)φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).254(C2xC4)128,989
(C2×C8).255(C2×C4) = C22×M5(2)φ: C2×C4/C22C2 ⊆ Aut C2×C864(C2xC8).255(C2xC4)128,2137
(C2×C8).256(C2×C4) = C165C8central extension (φ=1)128(C2xC8).256(C2xC4)128,43
(C2×C8).257(C2×C4) = C8⋊C16central extension (φ=1)128(C2xC8).257(C2xC4)128,44
(C2×C8).258(C2×C4) = C22.7M5(2)central extension (φ=1)128(C2xC8).258(C2xC4)128,106
(C2×C8).259(C2×C4) = C325C4central extension (φ=1)128(C2xC8).259(C2xC4)128,129
(C2×C8).260(C2×C4) = C22⋊C32central extension (φ=1)64(C2xC8).260(C2xC4)128,131
(C2×C8).261(C2×C4) = C4⋊C32central extension (φ=1)128(C2xC8).261(C2xC4)128,153
(C2×C8).262(C2×C4) = C8×M4(2)central extension (φ=1)64(C2xC8).262(C2xC4)128,181
(C2×C8).263(C2×C4) = C82⋊C2central extension (φ=1)64(C2xC8).263(C2xC4)128,182
(C2×C8).264(C2×C4) = C42.13C8central extension (φ=1)64(C2xC8).264(C2xC4)128,894

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