# Extensions 1→N→G→Q→1 with N=C2×C12 and Q=C2×C4

Direct product G=N×Q with N=C2×C12 and Q=C2×C4
dρLabelID
C22×C4×C12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C2×C12 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊(C2×C4) = S3×C23⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C12248+(C2xC12):(C2xC4)192,302
(C2×C12)⋊2(C2×C4) = C2×C23.7D6φ: C2×C4/C2C4 ⊆ Aut C2×C1248(C2xC12):2(C2xC4)192,778
(C2×C12)⋊3(C2×C4) = C6×C23⋊C4φ: C2×C4/C2C4 ⊆ Aut C2×C1248(C2xC12):3(C2xC4)192,842
(C2×C12)⋊4(C2×C4) = (C2×C4)⋊9D12φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):4(C2xC4)192,224
(C2×C12)⋊5(C2×C4) = D6⋊C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):5(C2xC4)192,227
(C2×C12)⋊6(C2×C4) = C24.58D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):6(C2xC4)192,509
(C2×C12)⋊7(C2×C4) = C2×S3×C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):7(C2xC4)192,1060
(C2×C12)⋊8(C2×C4) = C2×Dic35D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):8(C2xC4)192,1062
(C2×C12)⋊9(C2×C4) = C6.82+ 1+4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):9(C2xC4)192,1063
(C2×C12)⋊10(C2×C4) = S3×C42⋊C2φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12):10(C2xC4)192,1079
(C2×C12)⋊11(C2×C4) = C429D6φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12):11(C2xC4)192,1080
(C2×C12)⋊12(C2×C4) = C42.188D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):12(C2xC4)192,1081
(C2×C12)⋊13(C2×C4) = C42.91D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):13(C2xC4)192,1082
(C2×C12)⋊14(C2×C4) = C2×D4×Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):14(C2xC4)192,1354
(C2×C12)⋊15(C2×C4) = C24.49D6φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12):15(C2xC4)192,1357
(C2×C12)⋊16(C2×C4) = Dic3×C4○D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):16(C2xC4)192,1385
(C2×C12)⋊17(C2×C4) = C6.1442+ 1+4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):17(C2xC4)192,1386
(C2×C12)⋊18(C2×C4) = S3×C2.C42φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):18(C2xC4)192,222
(C2×C12)⋊19(C2×C4) = D6⋊C42φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):19(C2xC4)192,225
(C2×C12)⋊20(C2×C4) = Dic3×C22⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):20(C2xC4)192,500
(C2×C12)⋊21(C2×C4) = D6⋊C46C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):21(C2xC4)192,548
(C2×C12)⋊22(C2×C4) = C24.29D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):22(C2xC4)192,779
(C2×C12)⋊23(C2×C4) = C3×C23.8Q8φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):23(C2xC4)192,818
(C2×C12)⋊24(C2×C4) = C3×C23.23D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):24(C2xC4)192,819
(C2×C12)⋊25(C2×C4) = C3×C22.11C24φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12):25(C2xC4)192,1407
(C2×C12)⋊26(C2×C4) = C3×C23.33C23φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12):26(C2xC4)192,1409
(C2×C12)⋊27(C2×C4) = C4×D6⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12):27(C2xC4)192,497
(C2×C12)⋊28(C2×C4) = C12×C22⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12):28(C2xC4)192,810
(C2×C12)⋊29(C2×C4) = C2×C4×D12φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12):29(C2xC4)192,1032
(C2×C12)⋊30(C2×C4) = C4×C4○D12φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12):30(C2xC4)192,1033
(C2×C12)⋊31(C2×C4) = S3×C2×C42φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12):31(C2xC4)192,1030
(C2×C12)⋊32(C2×C4) = D4×C2×C12φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12):32(C2xC4)192,1404
(C2×C12)⋊33(C2×C4) = C12×C4○D4φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12):33(C2xC4)192,1406
(C2×C12)⋊34(C2×C4) = C2×C6.C42φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12):34(C2xC4)192,767
(C2×C12)⋊35(C2×C4) = C6×C2.C42φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12):35(C2xC4)192,808
(C2×C12)⋊36(C2×C4) = C22×C4⋊Dic3φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12):36(C2xC4)192,1344
(C2×C12)⋊37(C2×C4) = C2×C23.26D6φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12):37(C2xC4)192,1345
(C2×C12)⋊38(C2×C4) = Dic3×C22×C4φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12):38(C2xC4)192,1341
(C2×C12)⋊39(C2×C4) = C2×C6×C4⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12):39(C2xC4)192,1402
(C2×C12)⋊40(C2×C4) = C6×C42⋊C2φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12):40(C2xC4)192,1403

Non-split extensions G=N.Q with N=C2×C12 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C12).1(C2×C4) = C23.D12φ: C2×C4/C1C2×C4 ⊆ Aut C2×C12488-(C2xC12).1(C2xC4)192,32
(C2×C12).2(C2×C4) = C23.2D12φ: C2×C4/C1C2×C4 ⊆ Aut C2×C12248+(C2xC12).2(C2xC4)192,33
(C2×C12).3(C2×C4) = (C2×C4).D12φ: C2×C4/C1C2×C4 ⊆ Aut C2×C12488+(C2xC12).3(C2xC4)192,36
(C2×C12).4(C2×C4) = (C2×C12).D4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C12488-(C2xC12).4(C2xC4)192,37
(C2×C12).5(C2×C4) = C23⋊C45S3φ: C2×C4/C1C2×C4 ⊆ Aut C2×C12488-(C2xC12).5(C2xC4)192,299
(C2×C12).6(C2×C4) = S3×C4.10D4φ: C2×C4/C1C2×C4 ⊆ Aut C2×C12488-(C2xC12).6(C2xC4)192,309
(C2×C12).7(C2×C4) = M4(2).21D6φ: C2×C4/C1C2×C4 ⊆ Aut C2×C12488+(C2xC12).7(C2xC4)192,310
(C2×C12).8(C2×C4) = C424Dic3φ: C2×C4/C2C4 ⊆ Aut C2×C12484(C2xC12).8(C2xC4)192,100
(C2×C12).9(C2×C4) = C42.Dic3φ: C2×C4/C2C4 ⊆ Aut C2×C12484(C2xC12).9(C2xC4)192,101
(C2×C12).10(C2×C4) = C425Dic3φ: C2×C4/C2C4 ⊆ Aut C2×C12244(C2xC12).10(C2xC4)192,104
(C2×C12).11(C2×C4) = C42.3Dic3φ: C2×C4/C2C4 ⊆ Aut C2×C12484(C2xC12).11(C2xC4)192,107
(C2×C12).12(C2×C4) = C3×C42⋊C4φ: C2×C4/C2C4 ⊆ Aut C2×C12244(C2xC12).12(C2xC4)192,159
(C2×C12).13(C2×C4) = C3×C423C4φ: C2×C4/C2C4 ⊆ Aut C2×C12484(C2xC12).13(C2xC4)192,160
(C2×C12).14(C2×C4) = C3×C42.C4φ: C2×C4/C2C4 ⊆ Aut C2×C12484(C2xC12).14(C2xC4)192,161
(C2×C12).15(C2×C4) = C3×C42.3C4φ: C2×C4/C2C4 ⊆ Aut C2×C12484(C2xC12).15(C2xC4)192,162
(C2×C12).16(C2×C4) = (C6×D4).16C4φ: C2×C4/C2C4 ⊆ Aut C2×C12484(C2xC12).16(C2xC4)192,796
(C2×C12).17(C2×C4) = C3×C23.C23φ: C2×C4/C2C4 ⊆ Aut C2×C12484(C2xC12).17(C2xC4)192,843
(C2×C12).18(C2×C4) = C6×C4.10D4φ: C2×C4/C2C4 ⊆ Aut C2×C1296(C2xC12).18(C2xC4)192,845
(C2×C12).19(C2×C4) = C3×M4(2).8C22φ: C2×C4/C2C4 ⊆ Aut C2×C12484(C2xC12).19(C2xC4)192,846
(C2×C12).20(C2×C4) = C6.C4≀C2φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).20(C2xC4)192,10
(C2×C12).21(C2×C4) = C4⋊Dic3⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).21(C2xC4)192,11
(C2×C12).22(C2×C4) = C42.D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).22(C2xC4)192,23
(C2×C12).23(C2×C4) = C42.2D6φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).23(C2xC4)192,24
(C2×C12).24(C2×C4) = C23.35D12φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).24(C2xC4)192,26
(C2×C12).25(C2×C4) = C22.2D24φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).25(C2xC4)192,29
(C2×C12).26(C2×C4) = C4.Dic12φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).26(C2xC4)192,40
(C2×C12).27(C2×C4) = C12.47D8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).27(C2xC4)192,41
(C2×C12).28(C2×C4) = C4.D24φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).28(C2xC4)192,44
(C2×C12).29(C2×C4) = C12.2D8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).29(C2xC4)192,45
(C2×C12).30(C2×C4) = (C2×C12)⋊Q8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).30(C2xC4)192,205
(C2×C12).31(C2×C4) = C6.(C4×Q8)φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).31(C2xC4)192,206
(C2×C12).32(C2×C4) = C2.(C4×D12)φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).32(C2xC4)192,212
(C2×C12).33(C2×C4) = C2.(C4×Dic6)φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).33(C2xC4)192,213
(C2×C12).34(C2×C4) = Dic3⋊C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).34(C2xC4)192,214
(C2×C12).35(C2×C4) = D6⋊C43C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).35(C2xC4)192,229
(C2×C12).36(C2×C4) = C24⋊Q8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).36(C2xC4)192,260
(C2×C12).37(C2×C4) = C89D12φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).37(C2xC4)192,265
(C2×C12).38(C2×C4) = C24⋊C4⋊C2φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).38(C2xC4)192,279
(C2×C12).39(C2×C4) = D6⋊C8⋊C2φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).39(C2xC4)192,286
(C2×C12).40(C2×C4) = D62M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).40(C2xC4)192,287
(C2×C12).41(C2×C4) = Dic3⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).41(C2xC4)192,288
(C2×C12).42(C2×C4) = C42.27D6φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).42(C2xC4)192,387
(C2×C12).43(C2×C4) = D63M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).43(C2xC4)192,395
(C2×C12).44(C2×C4) = C42.30D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).44(C2xC4)192,398
(C2×C12).45(C2×C4) = C4⋊C46Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).45(C2xC4)192,543
(C2×C12).46(C2×C4) = C12.53D8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).46(C2xC4)192,38
(C2×C12).47(C2×C4) = C12.39SD16φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).47(C2xC4)192,39
(C2×C12).48(C2×C4) = D122C8φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).48(C2xC4)192,42
(C2×C12).49(C2×C4) = Dic62C8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).49(C2xC4)192,43
(C2×C12).50(C2×C4) = C24.97D4φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).50(C2xC4)192,70
(C2×C12).51(C2×C4) = C48⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).51(C2xC4)192,71
(C2×C12).52(C2×C4) = C8.25D12φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).52(C2xC4)192,73
(C2×C12).53(C2×C4) = Dic6.C8φ: C2×C4/C2C22 ⊆ Aut C2×C12964(C2xC12).53(C2xC4)192,74
(C2×C12).54(C2×C4) = C12.C42φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).54(C2xC4)192,88
(C2×C12).55(C2×C4) = C12.(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).55(C2xC4)192,89
(C2×C12).56(C2×C4) = C423Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).56(C2xC4)192,90
(C2×C12).57(C2×C4) = C12.2C42φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).57(C2xC4)192,91
(C2×C12).58(C2×C4) = (C2×C12).Q8φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).58(C2xC4)192,92
(C2×C12).59(C2×C4) = C12.57D8φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).59(C2xC4)192,93
(C2×C12).60(C2×C4) = C12.26Q16φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).60(C2xC4)192,94
(C2×C12).61(C2×C4) = M4(2)⋊Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).61(C2xC4)192,113
(C2×C12).62(C2×C4) = C12.3C42φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).62(C2xC4)192,114
(C2×C12).63(C2×C4) = C12.20C42φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).63(C2xC4)192,116
(C2×C12).64(C2×C4) = C12.4C42φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).64(C2xC4)192,117
(C2×C12).65(C2×C4) = M4(2)⋊4Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).65(C2xC4)192,118
(C2×C12).66(C2×C4) = C12.21C42φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).66(C2xC4)192,119
(C2×C12).67(C2×C4) = C24.99D4φ: C2×C4/C2C22 ⊆ Aut C2×C12964(C2xC12).67(C2xC4)192,120
(C2×C12).68(C2×C4) = S3×C4⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).68(C2xC4)192,391
(C2×C12).69(C2×C4) = C42.200D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).69(C2xC4)192,392
(C2×C12).70(C2×C4) = C42.202D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).70(C2xC4)192,394
(C2×C12).71(C2×C4) = C12⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).71(C2xC4)192,396
(C2×C12).72(C2×C4) = S3×M5(2)φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).72(C2xC4)192,465
(C2×C12).73(C2×C4) = C16.12D6φ: C2×C4/C2C22 ⊆ Aut C2×C12964(C2xC12).73(C2xC4)192,466
(C2×C12).74(C2×C4) = C2×C6.Q16φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).74(C2xC4)192,521
(C2×C12).75(C2×C4) = C2×C12.Q8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).75(C2xC4)192,522
(C2×C12).76(C2×C4) = C4⋊C4.225D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).76(C2xC4)192,523
(C2×C12).77(C2×C4) = C2×C6.D8φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).77(C2xC4)192,524
(C2×C12).78(C2×C4) = C4○D12⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).78(C2xC4)192,525
(C2×C12).79(C2×C4) = C2×C6.SD16φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).79(C2xC4)192,528
(C2×C12).80(C2×C4) = C12⋊(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).80(C2xC4)192,531
(C2×C12).81(C2×C4) = C4.(D6⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).81(C2xC4)192,532
(C2×C12).82(C2×C4) = Dic3×C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).82(C2xC4)192,533
(C2×C12).83(C2×C4) = (C4×Dic3)⋊8C4φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).83(C2xC4)192,534
(C2×C12).84(C2×C4) = (C4×Dic3)⋊9C4φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).84(C2xC4)192,536
(C2×C12).85(C2×C4) = C4⋊(D6⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).85(C2xC4)192,546
(C2×C12).86(C2×C4) = (C2×D12)⋊10C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).86(C2xC4)192,547
(C2×C12).87(C2×C4) = C4⋊C4.232D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).87(C2xC4)192,554
(C2×C12).88(C2×C4) = C12.5C42φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).88(C2xC4)192,556
(C2×C12).89(C2×C4) = C4⋊C4.234D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).89(C2xC4)192,557
(C2×C12).90(C2×C4) = C42.43D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).90(C2xC4)192,558
(C2×C12).91(C2×C4) = C4⋊C436D6φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).91(C2xC4)192,560
(C2×C12).92(C2×C4) = C4.(C2×D12)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).92(C2xC4)192,561
(C2×C12).93(C2×C4) = C4⋊C4.237D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).93(C2xC4)192,563
(C2×C12).94(C2×C4) = C426D6φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).94(C2xC4)192,564
(C2×C12).95(C2×C4) = (C2×D12)⋊13C4φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).95(C2xC4)192,565
(C2×C12).96(C2×C4) = Dic3×M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).96(C2xC4)192,676
(C2×C12).97(C2×C4) = Dic34M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).97(C2xC4)192,677
(C2×C12).98(C2×C4) = C12.88(C2×Q8)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).98(C2xC4)192,678
(C2×C12).99(C2×C4) = C23.51D12φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).99(C2xC4)192,679
(C2×C12).100(C2×C4) = C23.52D12φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).100(C2xC4)192,680
(C2×C12).101(C2×C4) = C12.7C42φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).101(C2xC4)192,681
(C2×C12).102(C2×C4) = C2×C12.53D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).102(C2xC4)192,682
(C2×C12).103(C2×C4) = C23.8Dic6φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).103(C2xC4)192,683
(C2×C12).104(C2×C4) = C23.9Dic6φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).104(C2xC4)192,684
(C2×C12).105(C2×C4) = D66M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).105(C2xC4)192,685
(C2×C12).106(C2×C4) = D6⋊C840C2φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).106(C2xC4)192,688
(C2×C12).107(C2×C4) = C2×C12.46D4φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).107(C2xC4)192,689
(C2×C12).108(C2×C4) = C23.53D12φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).108(C2xC4)192,690
(C2×C12).109(C2×C4) = M4(2).31D6φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).109(C2xC4)192,691
(C2×C12).110(C2×C4) = C23.54D12φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).110(C2xC4)192,692
(C2×C12).111(C2×C4) = C2×C12.47D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).111(C2xC4)192,695
(C2×C12).112(C2×C4) = C2×D12⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).112(C2xC4)192,697
(C2×C12).113(C2×C4) = M4(2)⋊24D6φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).113(C2xC4)192,698
(C2×C12).114(C2×C4) = C24.78C23φ: C2×C4/C2C22 ⊆ Aut C2×C12964(C2xC12).114(C2xC4)192,699
(C2×C12).115(C2×C4) = C2×D4⋊Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).115(C2xC4)192,773
(C2×C12).116(C2×C4) = (C6×D4)⋊6C4φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).116(C2xC4)192,774
(C2×C12).117(C2×C4) = C2×C12.D4φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).117(C2xC4)192,775
(C2×C12).118(C2×C4) = C24.30D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).118(C2xC4)192,780
(C2×C12).119(C2×C4) = C2×Q82Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).119(C2xC4)192,783
(C2×C12).120(C2×C4) = (C6×Q8)⋊6C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).120(C2xC4)192,784
(C2×C12).121(C2×C4) = C2×C12.10D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).121(C2xC4)192,785
(C2×C12).122(C2×C4) = C4○D43Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).122(C2xC4)192,791
(C2×C12).123(C2×C4) = C4○D44Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).123(C2xC4)192,792
(C2×C12).124(C2×C4) = (C6×D4).11C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).124(C2xC4)192,793
(C2×C12).125(C2×C4) = C2×Q83Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).125(C2xC4)192,794
(C2×C12).126(C2×C4) = (C6×D4)⋊9C4φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).126(C2xC4)192,795
(C2×C12).127(C2×C4) = C2×Dic6⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).127(C2xC4)192,1055
(C2×C12).128(C2×C4) = C2×C4⋊C47S3φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).128(C2xC4)192,1061
(C2×C12).129(C2×C4) = C42.87D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).129(C2xC4)192,1075
(C2×C12).130(C2×C4) = C2×S3×M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).130(C2xC4)192,1302
(C2×C12).131(C2×C4) = C2×D12.C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).131(C2xC4)192,1303
(C2×C12).132(C2×C4) = M4(2)⋊26D6φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).132(C2xC4)192,1304
(C2×C12).133(C2×C4) = C2×Q8×Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).133(C2xC4)192,1370
(C2×C12).134(C2×C4) = C6.422- 1+4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).134(C2xC4)192,1371
(C2×C12).135(C2×C4) = C2×D4.Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).135(C2xC4)192,1377
(C2×C12).136(C2×C4) = C12.76C24φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).136(C2xC4)192,1378
(C2×C12).137(C2×C4) = Dic3.5C42φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).137(C2xC4)192,207
(C2×C12).138(C2×C4) = Dic3⋊C42φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).138(C2xC4)192,208
(C2×C12).139(C2×C4) = C3⋊(C428C4)φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).139(C2xC4)192,209
(C2×C12).140(C2×C4) = C3⋊(C425C4)φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).140(C2xC4)192,210
(C2×C12).141(C2×C4) = C6.(C4×D4)φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).141(C2xC4)192,211
(C2×C12).142(C2×C4) = C22.58(S3×D4)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).142(C2xC4)192,223
(C2×C12).143(C2×C4) = D6⋊(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).143(C2xC4)192,226
(C2×C12).144(C2×C4) = D6⋊C45C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).144(C2xC4)192,228
(C2×C12).145(C2×C4) = S3×C8⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).145(C2xC4)192,263
(C2×C12).146(C2×C4) = C42.182D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).146(C2xC4)192,264
(C2×C12).147(C2×C4) = Dic35M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).147(C2xC4)192,266
(C2×C12).148(C2×C4) = D6.4C42φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).148(C2xC4)192,267
(C2×C12).149(C2×C4) = C42.185D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).149(C2xC4)192,268
(C2×C12).150(C2×C4) = Dic3.5M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).150(C2xC4)192,277
(C2×C12).151(C2×C4) = Dic3.M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).151(C2xC4)192,278
(C2×C12).152(C2×C4) = S3×C22⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).152(C2xC4)192,283
(C2×C12).153(C2×C4) = C3⋊D4⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).153(C2xC4)192,284
(C2×C12).154(C2×C4) = D6⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).154(C2xC4)192,285
(C2×C12).155(C2×C4) = C3⋊C826D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).155(C2xC4)192,289
(C2×C12).156(C2×C4) = Dic6⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).156(C2xC4)192,389
(C2×C12).157(C2×C4) = C42.198D6φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).157(C2xC4)192,390
(C2×C12).158(C2×C4) = D12⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).158(C2xC4)192,393
(C2×C12).159(C2×C4) = C122M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).159(C2xC4)192,397
(C2×C12).160(C2×C4) = C24.19D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).160(C2xC4)192,510
(C2×C12).161(C2×C4) = C42.187D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).161(C2xC4)192,559
(C2×C12).162(C2×C4) = D4×C3⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).162(C2xC4)192,569
(C2×C12).163(C2×C4) = C42.47D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).163(C2xC4)192,570
(C2×C12).164(C2×C4) = C123M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).164(C2xC4)192,571
(C2×C12).165(C2×C4) = Q8×C3⋊C8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).165(C2xC4)192,582
(C2×C12).166(C2×C4) = C42.210D6φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).166(C2xC4)192,583
(C2×C12).167(C2×C4) = (C6×D4)⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).167(C2xC4)192,96
(C2×C12).168(C2×C4) = (C6×Q8)⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).168(C2xC4)192,97
(C2×C12).169(C2×C4) = C42.7D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).169(C2xC4)192,99
(C2×C12).170(C2×C4) = C42.8D6φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).170(C2xC4)192,102
(C2×C12).171(C2×C4) = C12.9D8φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).171(C2xC4)192,103
(C2×C12).172(C2×C4) = C12.5Q16φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).172(C2xC4)192,105
(C2×C12).173(C2×C4) = C12.10D8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).173(C2xC4)192,106
(C2×C12).174(C2×C4) = C3×C22.SD16φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).174(C2xC4)192,133
(C2×C12).175(C2×C4) = C3×C23.31D4φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).175(C2xC4)192,134
(C2×C12).176(C2×C4) = C3×C42.C22φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).176(C2xC4)192,135
(C2×C12).177(C2×C4) = C3×C42.2C22φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).177(C2xC4)192,136
(C2×C12).178(C2×C4) = C3×C4.D8φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).178(C2xC4)192,137
(C2×C12).179(C2×C4) = C3×C4.10D8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).179(C2xC4)192,138
(C2×C12).180(C2×C4) = C3×C4.6Q16φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).180(C2xC4)192,139
(C2×C12).181(C2×C4) = C3×C22.C42φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).181(C2xC4)192,149
(C2×C12).182(C2×C4) = C42.31D6φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).182(C2xC4)192,399
(C2×C12).183(C2×C4) = Dic3⋊(C4⋊C4)φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).183(C2xC4)192,535
(C2×C12).184(C2×C4) = C6.67(C4×D4)φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).184(C2xC4)192,537
(C2×C12).185(C2×C4) = C4⋊C45Dic3φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).185(C2xC4)192,539
(C2×C12).186(C2×C4) = D6⋊C47C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).186(C2xC4)192,549
(C2×C12).187(C2×C4) = C24⋊D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).187(C2xC4)192,686
(C2×C12).188(C2×C4) = C2421D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).188(C2xC4)192,687
(C2×C12).189(C2×C4) = (C6×Q8)⋊7C4φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).189(C2xC4)192,788
(C2×C12).190(C2×C4) = C3×C23.63C23φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).190(C2xC4)192,820
(C2×C12).191(C2×C4) = C3×C24.C22φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).191(C2xC4)192,821
(C2×C12).192(C2×C4) = C6×C4.D4φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).192(C2xC4)192,844
(C2×C12).193(C2×C4) = C3×C23.36D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).193(C2xC4)192,850
(C2×C12).194(C2×C4) = C3×C23.37D4φ: C2×C4/C2C22 ⊆ Aut C2×C1248(C2xC12).194(C2xC4)192,851
(C2×C12).195(C2×C4) = C3×C23.38D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).195(C2xC4)192,852
(C2×C12).196(C2×C4) = C3×C42⋊C22φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).196(C2xC4)192,854
(C2×C12).197(C2×C4) = C3×C42.6C22φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).197(C2xC4)192,857
(C2×C12).198(C2×C4) = C3×M4(2)⋊C4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).198(C2xC4)192,861
(C2×C12).199(C2×C4) = C3×M4(2).C4φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).199(C2xC4)192,863
(C2×C12).200(C2×C4) = C3×C42.7C22φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).200(C2xC4)192,866
(C2×C12).201(C2×C4) = C3×C89D4φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).201(C2xC4)192,868
(C2×C12).202(C2×C4) = C3×C84Q8φ: C2×C4/C2C22 ⊆ Aut C2×C12192(C2xC12).202(C2xC4)192,879
(C2×C12).203(C2×C4) = C3×C23.32C23φ: C2×C4/C2C22 ⊆ Aut C2×C1296(C2xC12).203(C2xC4)192,1408
(C2×C12).204(C2×C4) = C3×Q8○M4(2)φ: C2×C4/C2C22 ⊆ Aut C2×C12484(C2xC12).204(C2xC4)192,1457
(C2×C12).205(C2×C4) = D6.C42φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).205(C2xC4)192,248
(C2×C12).206(C2×C4) = C42.243D6φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).206(C2xC4)192,249
(C2×C12).207(C2×C4) = (C2×C42).6S3φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).207(C2xC4)192,492
(C2×C12).208(C2×C4) = (C2×C42)⋊3S3φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).208(C2xC4)192,499
(C2×C12).209(C2×C4) = C8×C3⋊D4φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).209(C2xC4)192,668
(C2×C12).210(C2×C4) = C2433D4φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).210(C2xC4)192,670
(C2×C12).211(C2×C4) = C12×C4⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).211(C2xC4)192,811
(C2×C12).212(C2×C4) = D4×C24φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).212(C2xC4)192,867
(C2×C12).213(C2×C4) = C3×C86D4φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).213(C2xC4)192,869
(C2×C12).214(C2×C4) = Q8×C24φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).214(C2xC4)192,878
(C2×C12).215(C2×C4) = C4.8Dic12φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).215(C2xC4)192,15
(C2×C12).216(C2×C4) = C4.17D24φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).216(C2xC4)192,18
(C2×C12).217(C2×C4) = C12.8C42φ: C2×C4/C4C2 ⊆ Aut C2×C1248(C2xC12).217(C2xC4)192,82
(C2×C12).218(C2×C4) = C8×Dic6φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).218(C2xC4)192,237
(C2×C12).219(C2×C4) = C2412Q8φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).219(C2xC4)192,238
(C2×C12).220(C2×C4) = C8×D12φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).220(C2xC4)192,245
(C2×C12).221(C2×C4) = C86D12φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).221(C2xC4)192,247
(C2×C12).222(C2×C4) = C2×C424S3φ: C2×C4/C4C2 ⊆ Aut C2×C1248(C2xC12).222(C2xC4)192,486
(C2×C12).223(C2×C4) = C124(C4⋊C4)φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).223(C2xC4)192,487
(C2×C12).224(C2×C4) = (C2×Dic6)⋊7C4φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).224(C2xC4)192,488
(C2×C12).225(C2×C4) = (C2×C4)⋊6D12φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).225(C2xC4)192,498
(C2×C12).226(C2×C4) = Dic3⋊C8⋊C2φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).226(C2xC4)192,661
(C2×C12).227(C2×C4) = C2×C2.Dic12φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).227(C2xC4)192,662
(C2×C12).228(C2×C4) = (C22×C8)⋊7S3φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).228(C2xC4)192,669
(C2×C12).229(C2×C4) = C2×C2.D24φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).229(C2xC4)192,671
(C2×C12).230(C2×C4) = C2×C4×Dic6φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).230(C2xC4)192,1026
(C2×C12).231(C2×C4) = D12.C8φ: C2×C4/C4C2 ⊆ Aut C2×C12962(C2xC12).231(C2xC4)192,67
(C2×C12).232(C2×C4) = D12.4C8φ: C2×C4/C4C2 ⊆ Aut C2×C12962(C2xC12).232(C2xC4)192,460
(C2×C12).233(C2×C4) = C4×C4.Dic3φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).233(C2xC4)192,481
(C2×C12).234(C2×C4) = C12.12C42φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).234(C2xC4)192,660
(C2×C12).235(C2×C4) = C23.28D12φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).235(C2xC4)192,672
(C2×C12).236(C2×C4) = C2×C8○D12φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).236(C2xC4)192,1297
(C2×C12).237(C2×C4) = C8×C3⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).237(C2xC4)192,12
(C2×C12).238(C2×C4) = C42.279D6φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).238(C2xC4)192,13
(C2×C12).239(C2×C4) = C24⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).239(C2xC4)192,14
(C2×C12).240(C2×C4) = Dic3×C16φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).240(C2xC4)192,59
(C2×C12).241(C2×C4) = Dic3⋊C16φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).241(C2xC4)192,60
(C2×C12).242(C2×C4) = C4810C4φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).242(C2xC4)192,61
(C2×C12).243(C2×C4) = D6⋊C16φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).243(C2xC4)192,66
(C2×C12).244(C2×C4) = (C2×C12)⋊3C8φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).244(C2xC4)192,83
(C2×C12).245(C2×C4) = S3×C4×C8φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).245(C2xC4)192,243
(C2×C12).246(C2×C4) = C42.282D6φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).246(C2xC4)192,244
(C2×C12).247(C2×C4) = C4×C8⋊S3φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).247(C2xC4)192,246
(C2×C12).248(C2×C4) = S3×C2×C16φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).248(C2xC4)192,458
(C2×C12).249(C2×C4) = C2×D6.C8φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).249(C2xC4)192,459
(C2×C12).250(C2×C4) = Dic3×C42φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).250(C2xC4)192,489
(C2×C12).251(C2×C4) = C4×Dic3⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).251(C2xC4)192,490
(C2×C12).252(C2×C4) = C2×Dic3⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).252(C2xC4)192,658
(C2×C12).253(C2×C4) = C2×C24⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).253(C2xC4)192,659
(C2×C12).254(C2×C4) = C2×D6⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).254(C2xC4)192,667
(C2×C12).255(C2×C4) = C2×C422S3φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).255(C2xC4)192,1031
(C2×C12).256(C2×C4) = S3×C22×C8φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).256(C2xC4)192,1295
(C2×C12).257(C2×C4) = C22×C8⋊S3φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).257(C2xC4)192,1296
(C2×C12).258(C2×C4) = C3×D4⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).258(C2xC4)192,131
(C2×C12).259(C2×C4) = C3×Q8⋊C8φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).259(C2xC4)192,132
(C2×C12).260(C2×C4) = C3×C426C4φ: C2×C4/C4C2 ⊆ Aut C2×C1248(C2xC12).260(C2xC4)192,145
(C2×C12).261(C2×C4) = C3×C22.4Q16φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).261(C2xC4)192,146
(C2×C12).262(C2×C4) = C3×C4.C42φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).262(C2xC4)192,147
(C2×C12).263(C2×C4) = C3×D4.C8φ: C2×C4/C4C2 ⊆ Aut C2×C12962(C2xC12).263(C2xC4)192,156
(C2×C12).264(C2×C4) = C3×C23.65C23φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).264(C2xC4)192,822
(C2×C12).265(C2×C4) = C3×C24.3C22φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).265(C2xC4)192,823
(C2×C12).266(C2×C4) = C3×C23.67C23φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).266(C2xC4)192,824
(C2×C12).267(C2×C4) = C3×(C22×C8)⋊C2φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).267(C2xC4)192,841
(C2×C12).268(C2×C4) = C6×D4⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).268(C2xC4)192,847
(C2×C12).269(C2×C4) = C6×Q8⋊C4φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).269(C2xC4)192,848
(C2×C12).270(C2×C4) = C3×C23.24D4φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).270(C2xC4)192,849
(C2×C12).271(C2×C4) = C6×C4≀C2φ: C2×C4/C4C2 ⊆ Aut C2×C1248(C2xC12).271(C2xC4)192,853
(C2×C12).272(C2×C4) = C3×D4○C16φ: C2×C4/C4C2 ⊆ Aut C2×C12962(C2xC12).272(C2xC4)192,937
(C2×C12).273(C2×C4) = Q8×C2×C12φ: C2×C4/C4C2 ⊆ Aut C2×C12192(C2xC12).273(C2xC4)192,1405
(C2×C12).274(C2×C4) = C6×C8○D4φ: C2×C4/C4C2 ⊆ Aut C2×C1296(C2xC12).274(C2xC4)192,1456
(C2×C12).275(C2×C4) = C2×C42.S3φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).275(C2xC4)192,480
(C2×C12).276(C2×C4) = C2×C12⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).276(C2xC4)192,482
(C2×C12).277(C2×C4) = C42.270D6φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).277(C2xC4)192,485
(C2×C12).278(C2×C4) = C427Dic3φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).278(C2xC4)192,496
(C2×C12).279(C2×C4) = C2×C12.55D4φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).279(C2xC4)192,765
(C2×C12).280(C2×C4) = C24.6Dic3φ: C2×C4/C22C2 ⊆ Aut C2×C1248(C2xC12).280(C2xC4)192,766
(C2×C12).281(C2×C4) = C24.74D6φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).281(C2xC4)192,770
(C2×C12).282(C2×C4) = C24.75D6φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).282(C2xC4)192,771
(C2×C12).283(C2×C4) = C3×C424C4φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).283(C2xC4)192,809
(C2×C12).284(C2×C4) = C3×C23.34D4φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).284(C2xC4)192,814
(C2×C12).285(C2×C4) = C3×C428C4φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).285(C2xC4)192,815
(C2×C12).286(C2×C4) = C3×C425C4φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).286(C2xC4)192,816
(C2×C12).287(C2×C4) = C6×C8⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).287(C2xC4)192,836
(C2×C12).288(C2×C4) = C6×C22⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).288(C2xC4)192,839
(C2×C12).289(C2×C4) = C3×C4⋊M4(2)φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).289(C2xC4)192,856
(C2×C12).290(C2×C4) = C3×C42.6C4φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).290(C2xC4)192,865
(C2×C12).291(C2×C4) = C242C8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).291(C2xC4)192,16
(C2×C12).292(C2×C4) = C241C8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).292(C2xC4)192,17
(C2×C12).293(C2×C4) = C12.9C42φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).293(C2xC4)192,110
(C2×C12).294(C2×C4) = C12.10C42φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).294(C2xC4)192,111
(C2×C12).295(C2×C4) = C127M4(2)φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).295(C2xC4)192,483
(C2×C12).296(C2×C4) = C4210Dic3φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).296(C2xC4)192,494
(C2×C12).297(C2×C4) = C4211Dic3φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).297(C2xC4)192,495
(C2×C12).298(C2×C4) = C2×C8⋊Dic3φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).298(C2xC4)192,663
(C2×C12).299(C2×C4) = C2×C241C4φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).299(C2xC4)192,664
(C2×C12).300(C2×C4) = C22×C4.Dic3φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).300(C2xC4)192,1340
(C2×C12).301(C2×C4) = C24.1C8φ: C2×C4/C22C2 ⊆ Aut C2×C12482(C2xC12).301(C2xC4)192,22
(C2×C12).302(C2×C4) = C12.15C42φ: C2×C4/C22C2 ⊆ Aut C2×C12484(C2xC12).302(C2xC4)192,25
(C2×C12).303(C2×C4) = C24.D4φ: C2×C4/C22C2 ⊆ Aut C2×C12484(C2xC12).303(C2xC4)192,112
(C2×C12).304(C2×C4) = (C2×C24)⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C12484(C2xC12).304(C2xC4)192,115
(C2×C12).305(C2×C4) = C2×C12.C8φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).305(C2xC4)192,656
(C2×C12).306(C2×C4) = C23.27D12φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).306(C2xC4)192,665
(C2×C12).307(C2×C4) = C2×C24.C4φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).307(C2xC4)192,666
(C2×C12).308(C2×C4) = (C6×D4)⋊10C4φ: C2×C4/C22C2 ⊆ Aut C2×C12484(C2xC12).308(C2xC4)192,799
(C2×C12).309(C2×C4) = C4×C3⋊C16φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).309(C2xC4)192,19
(C2×C12).310(C2×C4) = C24.C8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).310(C2xC4)192,20
(C2×C12).311(C2×C4) = C12⋊C16φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).311(C2xC4)192,21
(C2×C12).312(C2×C4) = C24.98D4φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).312(C2xC4)192,108
(C2×C12).313(C2×C4) = (C2×C24)⋊5C4φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).313(C2xC4)192,109
(C2×C12).314(C2×C4) = C2×C4×C3⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).314(C2xC4)192,479
(C2×C12).315(C2×C4) = C42.285D6φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).315(C2xC4)192,484
(C2×C12).316(C2×C4) = C426Dic3φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).316(C2xC4)192,491
(C2×C12).317(C2×C4) = C4×C4⋊Dic3φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).317(C2xC4)192,493
(C2×C12).318(C2×C4) = C22×C3⋊C16φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).318(C2xC4)192,655
(C2×C12).319(C2×C4) = Dic3×C2×C8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).319(C2xC4)192,657
(C2×C12).320(C2×C4) = C4×C6.D4φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).320(C2xC4)192,768
(C2×C12).321(C2×C4) = C23×C3⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).321(C2xC4)192,1339
(C2×C12).322(C2×C4) = C3×C82C8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).322(C2xC4)192,140
(C2×C12).323(C2×C4) = C3×C81C8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).323(C2xC4)192,141
(C2×C12).324(C2×C4) = C3×C4.9C42φ: C2×C4/C22C2 ⊆ Aut C2×C12484(C2xC12).324(C2xC4)192,143
(C2×C12).325(C2×C4) = C3×C4.10C42φ: C2×C4/C22C2 ⊆ Aut C2×C12484(C2xC12).325(C2xC4)192,144
(C2×C12).326(C2×C4) = C3×M4(2)⋊4C4φ: C2×C4/C22C2 ⊆ Aut C2×C12484(C2xC12).326(C2xC4)192,150
(C2×C12).327(C2×C4) = C3×C16⋊C4φ: C2×C4/C22C2 ⊆ Aut C2×C12484(C2xC12).327(C2xC4)192,153
(C2×C12).328(C2×C4) = C3×C23.C8φ: C2×C4/C22C2 ⊆ Aut C2×C12484(C2xC12).328(C2xC4)192,155
(C2×C12).329(C2×C4) = C3×C8.C8φ: C2×C4/C22C2 ⊆ Aut C2×C12482(C2xC12).329(C2xC4)192,170
(C2×C12).330(C2×C4) = C3×C23.7Q8φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).330(C2xC4)192,813
(C2×C12).331(C2×C4) = C3×C429C4φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).331(C2xC4)192,817
(C2×C12).332(C2×C4) = C3×C82M4(2)φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).332(C2xC4)192,838
(C2×C12).333(C2×C4) = C3×C24.4C4φ: C2×C4/C22C2 ⊆ Aut C2×C1248(C2xC12).333(C2xC4)192,840
(C2×C12).334(C2×C4) = C6×C4⋊C8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).334(C2xC4)192,855
(C2×C12).335(C2×C4) = C6×C4.Q8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).335(C2xC4)192,858
(C2×C12).336(C2×C4) = C6×C2.D8φ: C2×C4/C22C2 ⊆ Aut C2×C12192(C2xC12).336(C2xC4)192,859
(C2×C12).337(C2×C4) = C3×C23.25D4φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).337(C2xC4)192,860
(C2×C12).338(C2×C4) = C6×C8.C4φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).338(C2xC4)192,862
(C2×C12).339(C2×C4) = C3×C42.12C4φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).339(C2xC4)192,864
(C2×C12).340(C2×C4) = C6×M5(2)φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).340(C2xC4)192,936
(C2×C12).341(C2×C4) = C2×C6×M4(2)φ: C2×C4/C22C2 ⊆ Aut C2×C1296(C2xC12).341(C2xC4)192,1455
(C2×C12).342(C2×C4) = C3×C8⋊C8central extension (φ=1)192(C2xC12).342(C2xC4)192,128
(C2×C12).343(C2×C4) = C3×C22.7C42central extension (φ=1)192(C2xC12).343(C2xC4)192,142
(C2×C12).344(C2×C4) = C3×C165C4central extension (φ=1)192(C2xC12).344(C2xC4)192,152
(C2×C12).345(C2×C4) = C3×C22⋊C16central extension (φ=1)96(C2xC12).345(C2xC4)192,154
(C2×C12).346(C2×C4) = C3×C4⋊C16central extension (φ=1)192(C2xC12).346(C2xC4)192,169
(C2×C12).347(C2×C4) = C12×M4(2)central extension (φ=1)96(C2xC12).347(C2xC4)192,837

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