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Extensions 1→N→G→Q→1 with N=C22×C6 and Q=C2×C4

Direct product G=N×Q with N=C22×C6 and Q=C2×C4
dρLabelID
C24×C12192C2^4xC12192,1530

Semidirect products G=N:Q with N=C22×C6 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C22×C6)⋊(C2×C4) = S3×C23⋊C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C22×C6248+(C2^2xC6):(C2xC4)192,302
(C22×C6)⋊2(C2×C4) = C6×C23⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C22×C648(C2^2xC6):2(C2xC4)192,842
(C22×C6)⋊3(C2×C4) = C2×C23.7D6φ: C2×C4/C2 → C4 ⊆ Aut C22×C648(C2^2xC6):3(C2xC4)192,778
(C22×C6)⋊4(C2×C4) = C3×C23.23D4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6):4(C2xC4)192,819
(C22×C6)⋊5(C2×C4) = C3×C22.11C24φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6):5(C2xC4)192,1407
(C22×C6)⋊6(C2×C4) = C24.23D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6):6(C2xC4)192,515
(C22×C6)⋊7(C2×C4) = C24.29D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6):7(C2xC4)192,779
(C22×C6)⋊8(C2×C4) = C2×S3×C22⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6):8(C2xC4)192,1043
(C22×C6)⋊9(C2×C4) = C2×Dic3⋊4D4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6):9(C2xC4)192,1044
(C22×C6)⋊10(C2×C4) = C24.35D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6):10(C2xC4)192,1045
(C22×C6)⋊11(C2×C4) = C2×D4×Dic3φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6):11(C2xC4)192,1354
(C22×C6)⋊12(C2×C4) = C24.49D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6):12(C2xC4)192,1357
(C22×C6)⋊13(C2×C4) = D4×C2×C12φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6):13(C2xC4)192,1404
(C22×C6)⋊14(C2×C4) = C2×C4×C3⋊D4φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6):14(C2xC4)192,1347
(C22×C6)⋊15(C2×C4) = S3×C23×C4φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6):15(C2xC4)192,1511
(C22×C6)⋊16(C2×C4) = C2×C6×C22⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6):16(C2xC4)192,1401
(C22×C6)⋊17(C2×C4) = C22×C6.D4φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6):17(C2xC4)192,1398
(C22×C6)⋊18(C2×C4) = Dic3×C24φ: C2×C4/C22 → C2 ⊆ Aut C22×C6192(C2^2xC6):18(C2xC4)192,1528

Non-split extensions G=N.Q with N=C22×C6 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C22×C6).1(C2×C4) = C3⋊C2≀C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C22×C6248+(C2^2xC6).1(C2xC4)192,30
(C22×C6).2(C2×C4) = (C2×D4).D6φ: C2×C4/C1 → C2×C4 ⊆ Aut C22×C6488-(C2^2xC6).2(C2xC4)192,31
(C22×C6).3(C2×C4) = C23.3D12φ: C2×C4/C1 → C2×C4 ⊆ Aut C22×C6248+(C2^2xC6).3(C2xC4)192,34
(C22×C6).4(C2×C4) = C23.4D12φ: C2×C4/C1 → C2×C4 ⊆ Aut C22×C6488-(C2^2xC6).4(C2xC4)192,35
(C22×C6).5(C2×C4) = C23⋊C4⋊5S3φ: C2×C4/C1 → C2×C4 ⊆ Aut C22×C6488-(C2^2xC6).5(C2xC4)192,299
(C22×C6).6(C2×C4) = S3×C4.D4φ: C2×C4/C1 → C2×C4 ⊆ Aut C22×C6248+(C2^2xC6).6(C2xC4)192,303
(C22×C6).7(C2×C4) = M4(2).19D6φ: C2×C4/C1 → C2×C4 ⊆ Aut C22×C6488-(C2^2xC6).7(C2xC4)192,304
(C22×C6).8(C2×C4) = C3×C2≀C4φ: C2×C4/C2 → C4 ⊆ Aut C22×C6244(C2^2xC6).8(C2xC4)192,157
(C22×C6).9(C2×C4) = C3×C23.D4φ: C2×C4/C2 → C4 ⊆ Aut C22×C6484(C2^2xC6).9(C2xC4)192,158
(C22×C6).10(C2×C4) = C3×C23.C23φ: C2×C4/C2 → C4 ⊆ Aut C22×C6484(C2^2xC6).10(C2xC4)192,843
(C22×C6).11(C2×C4) = C6×C4.D4φ: C2×C4/C2 → C4 ⊆ Aut C22×C648(C2^2xC6).11(C2xC4)192,844
(C22×C6).12(C2×C4) = C3×M4(2).8C22φ: C2×C4/C2 → C4 ⊆ Aut C22×C6484(C2^2xC6).12(C2xC4)192,846
(C22×C6).13(C2×C4) = C24⋊5Dic3φ: C2×C4/C2 → C4 ⊆ Aut C22×C6244(C2^2xC6).13(C2xC4)192,95
(C22×C6).14(C2×C4) = (C22×C12)⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C22×C6484(C2^2xC6).14(C2xC4)192,98
(C22×C6).15(C2×C4) = C2×C12.D4φ: C2×C4/C2 → C4 ⊆ Aut C22×C648(C2^2xC6).15(C2xC4)192,775
(C22×C6).16(C2×C4) = (C6×D4)⋊10C4φ: C2×C4/C2 → C4 ⊆ Aut C22×C6484(C2^2xC6).16(C2xC4)192,799
(C22×C6).17(C2×C4) = C3×C23.9D4φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).17(C2xC4)192,148
(C22×C6).18(C2×C4) = C3×M4(2)⋊4C4φ: C2×C4/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).18(C2xC4)192,150
(C22×C6).19(C2×C4) = C3×C24.C22φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).19(C2xC4)192,821
(C22×C6).20(C2×C4) = C3×C24.3C22φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).20(C2xC4)192,823
(C22×C6).21(C2×C4) = C3×(C22×C8)⋊C2φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).21(C2xC4)192,841
(C22×C6).22(C2×C4) = C3×C42.7C22φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).22(C2xC4)192,866
(C22×C6).23(C2×C4) = C3×C8⋊9D4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).23(C2xC4)192,868
(C22×C6).24(C2×C4) = C3×C8⋊6D4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).24(C2xC4)192,869
(C22×C6).25(C2×C4) = C3×Q8○M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).25(C2xC4)192,1457
(C22×C6).26(C2×C4) = (C22×S3)⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).26(C2xC4)192,27
(C22×C6).27(C2×C4) = (C2×Dic3)⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).27(C2xC4)192,28
(C22×C6).28(C2×C4) = C24.12D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).28(C2xC4)192,85
(C22×C6).29(C2×C4) = C24.13D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).29(C2xC4)192,86
(C22×C6).30(C2×C4) = (C2×C12).Q8φ: C2×C4/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).30(C2xC4)192,92
(C22×C6).31(C2×C4) = M4(2)⋊Dic3φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).31(C2xC4)192,113
(C22×C6).32(C2×C4) = (C2×C24)⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).32(C2xC4)192,115
(C22×C6).33(C2×C4) = M4(2)⋊4Dic3φ: C2×C4/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).33(C2xC4)192,118
(C22×C6).34(C2×C4) = Dic3.5M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).34(C2xC4)192,277
(C22×C6).35(C2×C4) = Dic3.M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).35(C2xC4)192,278
(C22×C6).36(C2×C4) = C24⋊C4⋊C2φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).36(C2xC4)192,279
(C22×C6).37(C2×C4) = S3×C22⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).37(C2xC4)192,283
(C22×C6).38(C2×C4) = C3⋊D4⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).38(C2xC4)192,284
(C22×C6).39(C2×C4) = D6⋊M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).39(C2xC4)192,285
(C22×C6).40(C2×C4) = D6⋊C8⋊C2φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).40(C2xC4)192,286
(C22×C6).41(C2×C4) = D6⋊2M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).41(C2xC4)192,287
(C22×C6).42(C2×C4) = Dic3⋊M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).42(C2xC4)192,288
(C22×C6).43(C2×C4) = C3⋊C8⋊26D4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).43(C2xC4)192,289
(C22×C6).44(C2×C4) = Dic3×C22⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).44(C2xC4)192,500
(C22×C6).45(C2×C4) = C24.55D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).45(C2xC4)192,501
(C22×C6).46(C2×C4) = C24.56D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).46(C2xC4)192,502
(C22×C6).47(C2×C4) = C24.14D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).47(C2xC4)192,503
(C22×C6).48(C2×C4) = C24.15D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).48(C2xC4)192,504
(C22×C6).49(C2×C4) = C24.57D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).49(C2xC4)192,505
(C22×C6).50(C2×C4) = C24.58D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).50(C2xC4)192,509
(C22×C6).51(C2×C4) = C24.19D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).51(C2xC4)192,510
(C22×C6).52(C2×C4) = C2×C23.6D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).52(C2xC4)192,513
(C22×C6).53(C2×C4) = C24.59D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).53(C2xC4)192,514
(C22×C6).54(C2×C4) = C24.24D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).54(C2xC4)192,516
(C22×C6).55(C2×C4) = C24.60D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).55(C2xC4)192,517
(C22×C6).56(C2×C4) = C12.5C42φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).56(C2xC4)192,556
(C22×C6).57(C2×C4) = C42.43D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).57(C2xC4)192,558
(C22×C6).58(C2×C4) = C42.187D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).58(C2xC4)192,559
(C22×C6).59(C2×C4) = D4×C3⋊C8φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).59(C2xC4)192,569
(C22×C6).60(C2×C4) = C42.47D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).60(C2xC4)192,570
(C22×C6).61(C2×C4) = C12⋊3M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).61(C2xC4)192,571
(C22×C6).62(C2×C4) = Dic3×M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).62(C2xC4)192,676
(C22×C6).63(C2×C4) = Dic3⋊4M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).63(C2xC4)192,677
(C22×C6).64(C2×C4) = C12.88(C2×Q8)φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).64(C2xC4)192,678
(C22×C6).65(C2×C4) = C12.7C42φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).65(C2xC4)192,681
(C22×C6).66(C2×C4) = D6⋊6M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).66(C2xC4)192,685
(C22×C6).67(C2×C4) = C24⋊D4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).67(C2xC4)192,686
(C22×C6).68(C2×C4) = C24⋊21D4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).68(C2xC4)192,687
(C22×C6).69(C2×C4) = D6⋊C8⋊40C2φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).69(C2xC4)192,688
(C22×C6).70(C2×C4) = C2×C12.46D4φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).70(C2xC4)192,689
(C22×C6).71(C2×C4) = M4(2).31D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).71(C2xC4)192,691
(C22×C6).72(C2×C4) = C2×C12.47D4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).72(C2xC4)192,695
(C22×C6).73(C2×C4) = C24.30D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).73(C2xC4)192,780
(C22×C6).74(C2×C4) = (C6×D4).11C4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).74(C2xC4)192,793
(C22×C6).75(C2×C4) = (C6×D4).16C4φ: C2×C4/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).75(C2xC4)192,796
(C22×C6).76(C2×C4) = C2×C23.16D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).76(C2xC4)192,1039
(C22×C6).77(C2×C4) = C2×S3×M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C22×C648(C2^2xC6).77(C2xC4)192,1302
(C22×C6).78(C2×C4) = C2×D12.C4φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).78(C2xC4)192,1303
(C22×C6).79(C2×C4) = M4(2)⋊26D6φ: C2×C4/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).79(C2xC4)192,1304
(C22×C6).80(C2×C4) = C2×D4.Dic3φ: C2×C4/C2 → C22 ⊆ Aut C22×C696(C2^2xC6).80(C2xC4)192,1377
(C22×C6).81(C2×C4) = C12.76C24φ: C2×C4/C2 → C22 ⊆ Aut C22×C6484(C2^2xC6).81(C2xC4)192,1378
(C22×C6).82(C2×C4) = C3×C23.8Q8φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).82(C2xC4)192,818
(C22×C6).83(C2×C4) = C3×C8○2M4(2)φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).83(C2xC4)192,838
(C22×C6).84(C2×C4) = C3×C42.6C22φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).84(C2xC4)192,857
(C22×C6).85(C2×C4) = D4×C24φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).85(C2xC4)192,867
(C22×C6).86(C2×C4) = C6×C8○D4φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).86(C2xC4)192,1456
(C22×C6).87(C2×C4) = (C2×C24)⋊5C4φ: C2×C4/C4 → C2 ⊆ Aut C22×C6192(C2^2xC6).87(C2xC4)192,109
(C22×C6).88(C2×C4) = Dic3×C2×C8φ: C2×C4/C4 → C2 ⊆ Aut C22×C6192(C2^2xC6).88(C2xC4)192,657
(C22×C6).89(C2×C4) = C2×Dic3⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C22×C6192(C2^2xC6).89(C2xC4)192,658
(C22×C6).90(C2×C4) = C2×C24⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C22×C6192(C2^2xC6).90(C2xC4)192,659
(C22×C6).91(C2×C4) = C12.12C42φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).91(C2xC4)192,660
(C22×C6).92(C2×C4) = Dic3⋊C8⋊C2φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).92(C2xC4)192,661
(C22×C6).93(C2×C4) = C2×D6⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).93(C2xC4)192,667
(C22×C6).94(C2×C4) = C8×C3⋊D4φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).94(C2xC4)192,668
(C22×C6).95(C2×C4) = (C22×C8)⋊7S3φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).95(C2xC4)192,669
(C22×C6).96(C2×C4) = C24⋊33D4φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).96(C2xC4)192,670
(C22×C6).97(C2×C4) = C2×C6.C42φ: C2×C4/C4 → C2 ⊆ Aut C22×C6192(C2^2xC6).97(C2xC4)192,767
(C22×C6).98(C2×C4) = C4×C6.D4φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).98(C2xC4)192,768
(C22×C6).99(C2×C4) = C24.73D6φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).99(C2xC4)192,769
(C22×C6).100(C2×C4) = C24.76D6φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).100(C2xC4)192,772
(C22×C6).101(C2×C4) = S3×C22×C8φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).101(C2xC4)192,1295
(C22×C6).102(C2×C4) = C22×C8⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).102(C2xC4)192,1296
(C22×C6).103(C2×C4) = C2×C8○D12φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).103(C2xC4)192,1297
(C22×C6).104(C2×C4) = C22×Dic3⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C22×C6192(C2^2xC6).104(C2xC4)192,1342
(C22×C6).105(C2×C4) = C22×D6⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C22×C696(C2^2xC6).105(C2xC4)192,1346
(C22×C6).106(C2×C4) = C3×C23⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C22×C648(C2^2xC6).106(C2xC4)192,129
(C22×C6).107(C2×C4) = C3×C22.M4(2)φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).107(C2xC4)192,130
(C22×C6).108(C2×C4) = C3×C22.C42φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).108(C2xC4)192,149
(C22×C6).109(C2×C4) = C12×C22⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).109(C2xC4)192,810
(C22×C6).110(C2×C4) = C3×C24⋊3C4φ: C2×C4/C22 → C2 ⊆ Aut C22×C648(C2^2xC6).110(C2xC4)192,812
(C22×C6).111(C2×C4) = C3×C23.7Q8φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).111(C2xC4)192,813
(C22×C6).112(C2×C4) = C3×C23.34D4φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).112(C2xC4)192,814
(C22×C6).113(C2×C4) = C12×M4(2)φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).113(C2xC4)192,837
(C22×C6).114(C2×C4) = C6×C22⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).114(C2xC4)192,839
(C22×C6).115(C2×C4) = C3×C24.4C4φ: C2×C4/C22 → C2 ⊆ Aut C22×C648(C2^2xC6).115(C2xC4)192,840
(C22×C6).116(C2×C4) = C6×C4.10D4φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).116(C2xC4)192,845
(C22×C6).117(C2×C4) = C3×C4⋊M4(2)φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).117(C2xC4)192,856
(C22×C6).118(C2×C4) = C3×C42.12C4φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).118(C2xC4)192,864
(C22×C6).119(C2×C4) = C3×C42.6C4φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).119(C2xC4)192,865
(C22×C6).120(C2×C4) = C6×C42⋊C2φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).120(C2xC4)192,1403
(C22×C6).121(C2×C4) = C2×C6×M4(2)φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).121(C2xC4)192,1455
(C22×C6).122(C2×C4) = (C2×C12)⋊3C8φ: C2×C4/C22 → C2 ⊆ Aut C22×C6192(C2^2xC6).122(C2xC4)192,83
(C22×C6).123(C2×C4) = C24.3Dic3φ: C2×C4/C22 → C2 ⊆ Aut C22×C648(C2^2xC6).123(C2xC4)192,84
(C22×C6).124(C2×C4) = (C2×C12)⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).124(C2xC4)192,87
(C22×C6).125(C2×C4) = C12.(C4⋊C4)φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).125(C2xC4)192,89
(C22×C6).126(C2×C4) = C2×C4×C3⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C22×C6192(C2^2xC6).126(C2xC4)192,479
(C22×C6).127(C2×C4) = C2×C42.S3φ: C2×C4/C22 → C2 ⊆ Aut C22×C6192(C2^2xC6).127(C2xC4)192,480
(C22×C6).128(C2×C4) = C4×C4.Dic3φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).128(C2xC4)192,481
(C22×C6).129(C2×C4) = C2×C12⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C22×C6192(C2^2xC6).129(C2xC4)192,482
(C22×C6).130(C2×C4) = C12⋊7M4(2)φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).130(C2xC4)192,483
(C22×C6).131(C2×C4) = C42.285D6φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).131(C2xC4)192,484
(C22×C6).132(C2×C4) = C42.270D6φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).132(C2xC4)192,485
(C22×C6).133(C2×C4) = C2×C12.55D4φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).133(C2xC4)192,765
(C22×C6).134(C2×C4) = C24.6Dic3φ: C2×C4/C22 → C2 ⊆ Aut C22×C648(C2^2xC6).134(C2xC4)192,766
(C22×C6).135(C2×C4) = C24.74D6φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).135(C2xC4)192,770
(C22×C6).136(C2×C4) = C24.75D6φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).136(C2xC4)192,771
(C22×C6).137(C2×C4) = C2×C12.10D4φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).137(C2xC4)192,785
(C22×C6).138(C2×C4) = C25.4S3φ: C2×C4/C22 → C2 ⊆ Aut C22×C648(C2^2xC6).138(C2xC4)192,806
(C22×C6).139(C2×C4) = C23×C3⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C22×C6192(C2^2xC6).139(C2xC4)192,1339
(C22×C6).140(C2×C4) = C22×C4.Dic3φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).140(C2xC4)192,1340
(C22×C6).141(C2×C4) = Dic3×C22×C4φ: C2×C4/C22 → C2 ⊆ Aut C22×C6192(C2^2xC6).141(C2xC4)192,1341
(C22×C6).142(C2×C4) = C22×C4⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C22×C6192(C2^2xC6).142(C2xC4)192,1344
(C22×C6).143(C2×C4) = C2×C23.26D6φ: C2×C4/C22 → C2 ⊆ Aut C22×C696(C2^2xC6).143(C2xC4)192,1345
(C22×C6).144(C2×C4) = C3×C22.7C42central extension (φ=1)192(C2^2xC6).144(C2xC4)192,142
(C22×C6).145(C2×C4) = C6×C2.C42central extension (φ=1)192(C2^2xC6).145(C2xC4)192,808
(C22×C6).146(C2×C4) = C6×C8⋊C4central extension (φ=1)192(C2^2xC6).146(C2xC4)192,836
(C22×C6).147(C2×C4) = C6×C4⋊C8central extension (φ=1)192(C2^2xC6).147(C2xC4)192,855
(C22×C6).148(C2×C4) = C2×C6×C4⋊C4central extension (φ=1)192(C2^2xC6).148(C2xC4)192,1402

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