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Extensions 1→N→G→Q→1 with N=C22 and Q=D4×D7

Direct product G=N×Q with N=C22 and Q=D4×D7
dρLabelID
C22×D4×D7112C2^2xD4xD7448,1369

Semidirect products G=N:Q with N=C22 and Q=D4×D7
extensionφ:Q→Aut NdρLabelID
C22⋊1(D4×D7) = D7×C4⋊D4φ: D4×D7/C4×D7 → C2 ⊆ Aut C22112C2^2:1(D4xD7)448,1057
C22⋊2(D4×D7) = D28⋊19D4φ: D4×D7/D28 → C2 ⊆ Aut C22112C2^2:2(D4xD7)448,1062
C22⋊3(D4×D7) = C24⋊3D14φ: D4×D7/C7⋊D4 → C2 ⊆ Aut C22112C2^2:3(D4xD7)448,1043
C22⋊4(D4×D7) = D4×C7⋊D4φ: D4×D7/C7×D4 → C2 ⊆ Aut C22112C2^2:4(D4xD7)448,1254
C22⋊5(D4×D7) = D7×C22≀C2φ: D4×D7/C22×D7 → C2 ⊆ Aut C2256C2^2:5(D4xD7)448,1041

Non-split extensions G=N.Q with N=C22 and Q=D4×D7
extensionφ:Q→Aut NdρLabelID
C22.1(D4×D7) = C28⋊(C4○D4)φ: D4×D7/C4×D7 → C2 ⊆ Aut C22224C2^2.1(D4xD7)448,1049
C22.2(D4×D7) = C14.682- 1+4φ: D4×D7/C4×D7 → C2 ⊆ Aut C22224C2^2.2(D4xD7)448,1050
C22.3(D4×D7) = C14.372+ 1+4φ: D4×D7/C4×D7 → C2 ⊆ Aut C22112C2^2.3(D4xD7)448,1058
C22.4(D4×D7) = D7×C4○D8φ: D4×D7/C4×D7 → C2 ⊆ Aut C221124C2^2.4(D4xD7)448,1220
C22.5(D4×D7) = D8⋊10D14φ: D4×D7/C4×D7 → C2 ⊆ Aut C221124C2^2.5(D4xD7)448,1221
C22.6(D4×D7) = C14.402+ 1+4φ: D4×D7/D28 → C2 ⊆ Aut C22112C2^2.6(D4xD7)448,1063
C22.7(D4×D7) = C14.732- 1+4φ: D4×D7/D28 → C2 ⊆ Aut C22224C2^2.7(D4xD7)448,1064
C22.8(D4×D7) = D8⋊15D14φ: D4×D7/D28 → C2 ⊆ Aut C221124+C2^2.8(D4xD7)448,1222
C22.9(D4×D7) = D8⋊11D14φ: D4×D7/D28 → C2 ⊆ Aut C221124C2^2.9(D4xD7)448,1223
C22.10(D4×D7) = D8.10D14φ: D4×D7/D28 → C2 ⊆ Aut C222244-C2^2.10(D4xD7)448,1224
C22.11(D4×D7) = C24.33D14φ: D4×D7/C7⋊D4 → C2 ⊆ Aut C22112C2^2.11(D4xD7)448,1044
C22.12(D4×D7) = C14.1212+ 1+4φ: D4×D7/C7⋊D4 → C2 ⊆ Aut C22112C2^2.12(D4xD7)448,1107
C22.13(D4×D7) = C14.822- 1+4φ: D4×D7/C7⋊D4 → C2 ⊆ Aut C22224C2^2.13(D4xD7)448,1108
C22.14(D4×D7) = D8⋊5D14φ: D4×D7/C7⋊D4 → C2 ⊆ Aut C221128+C2^2.14(D4xD7)448,1227
C22.15(D4×D7) = D8⋊6D14φ: D4×D7/C7⋊D4 → C2 ⊆ Aut C221128-C2^2.15(D4xD7)448,1228
C22.16(D4×D7) = C56.C23φ: D4×D7/C7⋊D4 → C2 ⊆ Aut C221128+C2^2.16(D4xD7)448,1231
C22.17(D4×D7) = D28.44D4φ: D4×D7/C7⋊D4 → C2 ⊆ Aut C222248-C2^2.17(D4xD7)448,1232
C22.18(D4×D7) = C24.27D14φ: D4×D7/C7×D4 → C2 ⊆ Aut C22112C2^2.18(D4xD7)448,943
C22.19(D4×D7) = C14.2- 1+4φ: D4×D7/C7×D4 → C2 ⊆ Aut C22224C2^2.19(D4xD7)448,960
C22.20(D4×D7) = D8⋊13D14φ: D4×D7/C7×D4 → C2 ⊆ Aut C221124C2^2.20(D4xD7)448,1210
C22.21(D4×D7) = D28.29D4φ: D4×D7/C7×D4 → C2 ⊆ Aut C221124C2^2.21(D4xD7)448,1215
C22.22(D4×D7) = D28.30D4φ: D4×D7/C7×D4 → C2 ⊆ Aut C222244C2^2.22(D4xD7)448,1219
C22.23(D4×D7) = C23⋊C4⋊5D7φ: D4×D7/C22×D7 → C2 ⊆ Aut C221128-C2^2.23(D4xD7)448,274
C22.24(D4×D7) = C23⋊D28φ: D4×D7/C22×D7 → C2 ⊆ Aut C22568+C2^2.24(D4xD7)448,275
C22.25(D4×D7) = C23.5D28φ: D4×D7/C22×D7 → C2 ⊆ Aut C221128-C2^2.25(D4xD7)448,276
C22.26(D4×D7) = D7×C23⋊C4φ: D4×D7/C22×D7 → C2 ⊆ Aut C22568+C2^2.26(D4xD7)448,277
C22.27(D4×D7) = D7×C4≀C2φ: D4×D7/C22×D7 → C2 ⊆ Aut C22564C2^2.27(D4xD7)448,354
C22.28(D4×D7) = C42⋊D14φ: D4×D7/C22×D7 → C2 ⊆ Aut C221124C2^2.28(D4xD7)448,355
C22.29(D4×D7) = D4⋊4D28φ: D4×D7/C22×D7 → C2 ⊆ Aut C22564+C2^2.29(D4xD7)448,356
C22.30(D4×D7) = M4(2)⋊D14φ: D4×D7/C22×D7 → C2 ⊆ Aut C221124C2^2.30(D4xD7)448,359
C22.31(D4×D7) = D4.9D28φ: D4×D7/C22×D7 → C2 ⊆ Aut C221124-C2^2.31(D4xD7)448,360
C22.32(D4×D7) = D4.10D28φ: D4×D7/C22×D7 → C2 ⊆ Aut C221124C2^2.32(D4xD7)448,361
C22.33(D4×D7) = C24⋊D14φ: D4×D7/C22×D7 → C2 ⊆ Aut C22564C2^2.33(D4xD7)448,566
C22.34(D4×D7) = C22⋊C4⋊D14φ: D4×D7/C22×D7 → C2 ⊆ Aut C221124C2^2.34(D4xD7)448,587
C22.35(D4×D7) = D28⋊18D4φ: D4×D7/C22×D7 → C2 ⊆ Aut C22568+C2^2.35(D4xD7)448,732
C22.36(D4×D7) = D28.38D4φ: D4×D7/C22×D7 → C2 ⊆ Aut C221128-C2^2.36(D4xD7)448,735
C22.37(D4×D7) = D28.39D4φ: D4×D7/C22×D7 → C2 ⊆ Aut C221128+C2^2.37(D4xD7)448,736
C22.38(D4×D7) = D28.40D4φ: D4×D7/C22×D7 → C2 ⊆ Aut C221128-C2^2.38(D4xD7)448,739
C22.39(D4×D7) = C24.56D14φ: D4×D7/C22×D7 → C2 ⊆ Aut C22112C2^2.39(D4xD7)448,1039
C22.40(D4×D7) = C24⋊2D14φ: D4×D7/C22×D7 → C2 ⊆ Aut C22112C2^2.40(D4xD7)448,1042
C22.41(D4×D7) = C24.34D14φ: D4×D7/C22×D7 → C2 ⊆ Aut C22112C2^2.41(D4xD7)448,1045
C22.42(D4×D7) = C14.792- 1+4φ: D4×D7/C22×D7 → C2 ⊆ Aut C22224C2^2.42(D4xD7)448,1101
C22.43(D4×D7) = D7×C22.D4φ: D4×D7/C22×D7 → C2 ⊆ Aut C22112C2^2.43(D4xD7)448,1105
C22.44(D4×D7) = C14.1202+ 1+4φ: D4×D7/C22×D7 → C2 ⊆ Aut C22112C2^2.44(D4xD7)448,1106
C22.45(D4×D7) = C4⋊C4⋊28D14φ: D4×D7/C22×D7 → C2 ⊆ Aut C22112C2^2.45(D4xD7)448,1109
C22.46(D4×D7) = D7×C8⋊C22φ: D4×D7/C22×D7 → C2 ⊆ Aut C22568+C2^2.46(D4xD7)448,1225
C22.47(D4×D7) = SD16⋊D14φ: D4×D7/C22×D7 → C2 ⊆ Aut C221128-C2^2.47(D4xD7)448,1226
C22.48(D4×D7) = D7×C8.C22φ: D4×D7/C22×D7 → C2 ⊆ Aut C221128-C2^2.48(D4xD7)448,1229
C22.49(D4×D7) = D56⋊C22φ: D4×D7/C22×D7 → C2 ⊆ Aut C221128+C2^2.49(D4xD7)448,1230
C22.50(D4×D7) = (C2×C28)⋊Q8central extension (φ=1)448C2^2.50(D4xD7)448,180
C22.51(D4×D7) = C14.(C4×Q8)central extension (φ=1)448C2^2.51(D4xD7)448,181
C22.52(D4×D7) = Dic7⋊C42central extension (φ=1)448C2^2.52(D4xD7)448,183
C22.53(D4×D7) = C7⋊(C42⋊8C4)central extension (φ=1)448C2^2.53(D4xD7)448,184
C22.54(D4×D7) = Dic7⋊C4⋊C4central extension (φ=1)448C2^2.54(D4xD7)448,186
C22.55(D4×D7) = C4⋊Dic7⋊8C4central extension (φ=1)448C2^2.55(D4xD7)448,188
C22.56(D4×D7) = C14.(C4×D4)central extension (φ=1)448C2^2.56(D4xD7)448,189
C22.57(D4×D7) = D7×C2.C42central extension (φ=1)224C2^2.57(D4xD7)448,197
C22.58(D4×D7) = C22.58(D4×D7)central extension (φ=1)224C2^2.58(D4xD7)448,198
C22.59(D4×D7) = (C2×C4)⋊9D28central extension (φ=1)224C2^2.59(D4xD7)448,199
C22.60(D4×D7) = D14⋊C42central extension (φ=1)224C2^2.60(D4xD7)448,200
C22.61(D4×D7) = D14⋊(C4⋊C4)central extension (φ=1)224C2^2.61(D4xD7)448,201
C22.62(D4×D7) = D14⋊C4⋊C4central extension (φ=1)224C2^2.62(D4xD7)448,202
C22.63(D4×D7) = D14⋊C4⋊5C4central extension (φ=1)224C2^2.63(D4xD7)448,203
C22.64(D4×D7) = C2.(C4×D28)central extension (φ=1)224C2^2.64(D4xD7)448,204
C22.65(D4×D7) = Dic7⋊4D8central extension (φ=1)224C2^2.65(D4xD7)448,290
C22.66(D4×D7) = D4.D7⋊C4central extension (φ=1)224C2^2.66(D4xD7)448,291
C22.67(D4×D7) = Dic7⋊6SD16central extension (φ=1)224C2^2.67(D4xD7)448,292
C22.68(D4×D7) = D7×D4⋊C4central extension (φ=1)112C2^2.68(D4xD7)448,303
C22.69(D4×D7) = (D4×D7)⋊C4central extension (φ=1)112C2^2.69(D4xD7)448,304
C22.70(D4×D7) = D4⋊(C4×D7)central extension (φ=1)224C2^2.70(D4xD7)448,305
C22.71(D4×D7) = D4⋊2D7⋊C4central extension (φ=1)224C2^2.71(D4xD7)448,306
C22.72(D4×D7) = D4⋊D7⋊C4central extension (φ=1)224C2^2.72(D4xD7)448,319
C22.73(D4×D7) = Dic7⋊7SD16central extension (φ=1)224C2^2.73(D4xD7)448,322
C22.74(D4×D7) = C7⋊Q16⋊C4central extension (φ=1)448C2^2.74(D4xD7)448,323
C22.75(D4×D7) = Dic7⋊4Q16central extension (φ=1)448C2^2.75(D4xD7)448,324
C22.76(D4×D7) = D7×Q8⋊C4central extension (φ=1)224C2^2.76(D4xD7)448,335
C22.77(D4×D7) = (Q8×D7)⋊C4central extension (φ=1)224C2^2.77(D4xD7)448,336
C22.78(D4×D7) = Q8⋊(C4×D7)central extension (φ=1)224C2^2.78(D4xD7)448,337
C22.79(D4×D7) = Q8⋊2D7⋊C4central extension (φ=1)224C2^2.79(D4xD7)448,338
C22.80(D4×D7) = Q8⋊D7⋊C4central extension (φ=1)224C2^2.80(D4xD7)448,351
C22.81(D4×D7) = Dic7⋊8SD16central extension (φ=1)224C2^2.81(D4xD7)448,386
C22.82(D4×D7) = Dic28⋊9C4central extension (φ=1)448C2^2.82(D4xD7)448,387
C22.83(D4×D7) = D7×C4.Q8central extension (φ=1)224C2^2.83(D4xD7)448,393
C22.84(D4×D7) = (C8×D7)⋊C4central extension (φ=1)224C2^2.84(D4xD7)448,394
C22.85(D4×D7) = C8⋊(C4×D7)central extension (φ=1)224C2^2.85(D4xD7)448,395
C22.86(D4×D7) = D56⋊9C4central extension (φ=1)224C2^2.86(D4xD7)448,403
C22.87(D4×D7) = Dic7⋊5D8central extension (φ=1)224C2^2.87(D4xD7)448,406
C22.88(D4×D7) = Dic28⋊6C4central extension (φ=1)448C2^2.88(D4xD7)448,407
C22.89(D4×D7) = D7×C2.D8central extension (φ=1)224C2^2.89(D4xD7)448,413
C22.90(D4×D7) = C8.27(C4×D7)central extension (φ=1)224C2^2.90(D4xD7)448,414
C22.91(D4×D7) = C56⋊(C2×C4)central extension (φ=1)224C2^2.91(D4xD7)448,415
C22.92(D4×D7) = C56⋊C2⋊C4central extension (φ=1)224C2^2.92(D4xD7)448,423
C22.93(D4×D7) = C22⋊C4×Dic7central extension (φ=1)224C2^2.93(D4xD7)448,475
C22.94(D4×D7) = C24.44D14central extension (φ=1)224C2^2.94(D4xD7)448,476
C22.95(D4×D7) = C24.3D14central extension (φ=1)224C2^2.95(D4xD7)448,478
C22.96(D4×D7) = C24.4D14central extension (φ=1)224C2^2.96(D4xD7)448,479
C22.97(D4×D7) = C24.46D14central extension (φ=1)224C2^2.97(D4xD7)448,480
C22.98(D4×D7) = C24.47D14central extension (φ=1)224C2^2.98(D4xD7)448,484
C22.99(D4×D7) = C24.8D14central extension (φ=1)224C2^2.99(D4xD7)448,485
C22.100(D4×D7) = C23.44D28central extension (φ=1)112C2^2.100(D4xD7)448,489
C22.101(D4×D7) = C24.12D14central extension (φ=1)224C2^2.101(D4xD7)448,490
C22.102(D4×D7) = C24.13D14central extension (φ=1)224C2^2.102(D4xD7)448,491
C22.103(D4×D7) = C23.45D28central extension (φ=1)224C2^2.103(D4xD7)448,492
C22.104(D4×D7) = Dic7⋊(C4⋊C4)central extension (φ=1)448C2^2.104(D4xD7)448,506
C22.105(D4×D7) = C28⋊(C4⋊C4)central extension (φ=1)448C2^2.105(D4xD7)448,507
C22.106(D4×D7) = C4⋊C4×Dic7central extension (φ=1)448C2^2.106(D4xD7)448,509
C22.107(D4×D7) = (C4×Dic7)⋊8C4central extension (φ=1)448C2^2.107(D4xD7)448,510
C22.108(D4×D7) = C4⋊C4⋊5Dic7central extension (φ=1)448C2^2.108(D4xD7)448,515
C22.109(D4×D7) = C4⋊(C4⋊Dic7)central extension (φ=1)448C2^2.109(D4xD7)448,519
C22.110(D4×D7) = C4⋊(D14⋊C4)central extension (φ=1)224C2^2.110(D4xD7)448,521
C22.111(D4×D7) = (C2×D28)⋊10C4central extension (φ=1)224C2^2.111(D4xD7)448,522
C22.112(D4×D7) = D14⋊C4⋊6C4central extension (φ=1)224C2^2.112(D4xD7)448,523
C22.113(D4×D7) = D14⋊C4⋊7C4central extension (φ=1)224C2^2.113(D4xD7)448,524
C22.114(D4×D7) = D8×Dic7central extension (φ=1)224C2^2.114(D4xD7)448,683
C22.115(D4×D7) = D8⋊Dic7central extension (φ=1)224C2^2.115(D4xD7)448,686
C22.116(D4×D7) = SD16×Dic7central extension (φ=1)224C2^2.116(D4xD7)448,695
C22.117(D4×D7) = SD16⋊Dic7central extension (φ=1)224C2^2.117(D4xD7)448,698
C22.118(D4×D7) = Q16×Dic7central extension (φ=1)448C2^2.118(D4xD7)448,717
C22.119(D4×D7) = Q16⋊Dic7central extension (φ=1)448C2^2.119(D4xD7)448,718
C22.120(D4×D7) = C24.18D14central extension (φ=1)224C2^2.120(D4xD7)448,754
C22.121(D4×D7) = C24.19D14central extension (φ=1)224C2^2.121(D4xD7)448,755
C22.122(D4×D7) = C2×C22⋊Dic14central extension (φ=1)224C2^2.122(D4xD7)448,934
C22.123(D4×D7) = C2×D7×C22⋊C4central extension (φ=1)112C2^2.123(D4xD7)448,937
C22.124(D4×D7) = C2×Dic7⋊4D4central extension (φ=1)224C2^2.124(D4xD7)448,938
C22.125(D4×D7) = C2×C22⋊D28central extension (φ=1)112C2^2.125(D4xD7)448,940
C22.126(D4×D7) = C2×D14.D4central extension (φ=1)224C2^2.126(D4xD7)448,941
C22.127(D4×D7) = C2×D14⋊D4central extension (φ=1)224C2^2.127(D4xD7)448,942
C22.128(D4×D7) = C2×Dic7.D4central extension (φ=1)224C2^2.128(D4xD7)448,944
C22.129(D4×D7) = C2×C28⋊Q8central extension (φ=1)448C2^2.129(D4xD7)448,950
C22.130(D4×D7) = C2×D7×C4⋊C4central extension (φ=1)224C2^2.130(D4xD7)448,954
C22.131(D4×D7) = C2×D28⋊C4central extension (φ=1)224C2^2.131(D4xD7)448,956
C22.132(D4×D7) = C2×D14.5D4central extension (φ=1)224C2^2.132(D4xD7)448,958
C22.133(D4×D7) = C2×C4⋊D28central extension (φ=1)224C2^2.133(D4xD7)448,959
C22.134(D4×D7) = C2×D14⋊Q8central extension (φ=1)224C2^2.134(D4xD7)448,961
C22.135(D4×D7) = C2×D7×D8central extension (φ=1)112C2^2.135(D4xD7)448,1207
C22.136(D4×D7) = C2×D8⋊D7central extension (φ=1)112C2^2.136(D4xD7)448,1208
C22.137(D4×D7) = C2×D8⋊3D7central extension (φ=1)224C2^2.137(D4xD7)448,1209
C22.138(D4×D7) = C2×D7×SD16central extension (φ=1)112C2^2.138(D4xD7)448,1211
C22.139(D4×D7) = C2×D56⋊C2central extension (φ=1)112C2^2.139(D4xD7)448,1212
C22.140(D4×D7) = C2×SD16⋊D7central extension (φ=1)224C2^2.140(D4xD7)448,1213
C22.141(D4×D7) = C2×SD16⋊3D7central extension (φ=1)224C2^2.141(D4xD7)448,1214
C22.142(D4×D7) = C2×D7×Q16central extension (φ=1)224C2^2.142(D4xD7)448,1216
C22.143(D4×D7) = C2×Q16⋊D7central extension (φ=1)224C2^2.143(D4xD7)448,1217
C22.144(D4×D7) = C2×Q8.D14central extension (φ=1)224C2^2.144(D4xD7)448,1218
C22.145(D4×D7) = C2×D4×Dic7central extension (φ=1)224C2^2.145(D4xD7)448,1248
C22.146(D4×D7) = C2×C23⋊D14central extension (φ=1)112C2^2.146(D4xD7)448,1252
C22.147(D4×D7) = C2×C28⋊2D4central extension (φ=1)224C2^2.147(D4xD7)448,1253
C22.148(D4×D7) = C2×Dic7⋊D4central extension (φ=1)224C2^2.148(D4xD7)448,1255
C22.149(D4×D7) = C2×C28⋊D4central extension (φ=1)224C2^2.149(D4xD7)448,1256
C22.150(D4×D7) = (C2×Dic7)⋊Q8central stem extension (φ=1)448C2^2.150(D4xD7)448,190
C22.151(D4×D7) = C2.(C28⋊Q8)central stem extension (φ=1)448C2^2.151(D4xD7)448,191
C22.152(D4×D7) = (C2×Dic7).Q8central stem extension (φ=1)448C2^2.152(D4xD7)448,192
C22.153(D4×D7) = (C2×C4).Dic14central stem extension (φ=1)448C2^2.153(D4xD7)448,194
C22.154(D4×D7) = C14.(C4⋊Q8)central stem extension (φ=1)448C2^2.154(D4xD7)448,195
C22.155(D4×D7) = (C2×C28)⋊5D4central stem extension (φ=1)224C2^2.155(D4xD7)448,205
C22.156(D4×D7) = (C2×Dic7)⋊3D4central stem extension (φ=1)224C2^2.156(D4xD7)448,206
C22.157(D4×D7) = (C2×C4).20D28central stem extension (φ=1)224C2^2.157(D4xD7)448,207
C22.158(D4×D7) = (C2×C4).21D28central stem extension (φ=1)224C2^2.158(D4xD7)448,208
C22.159(D4×D7) = (C22×D7).9D4central stem extension (φ=1)224C2^2.159(D4xD7)448,209
C22.160(D4×D7) = (C22×D7).Q8central stem extension (φ=1)224C2^2.160(D4xD7)448,210
C22.161(D4×D7) = Dic7.D8central stem extension (φ=1)224C2^2.161(D4xD7)448,293
C22.162(D4×D7) = Dic7.SD16central stem extension (φ=1)224C2^2.162(D4xD7)448,294
C22.163(D4×D7) = D4⋊Dic14central stem extension (φ=1)224C2^2.163(D4xD7)448,295
C22.164(D4×D7) = Dic14⋊2D4central stem extension (φ=1)224C2^2.164(D4xD7)448,296
C22.165(D4×D7) = D4.Dic14central stem extension (φ=1)224C2^2.165(D4xD7)448,297
C22.166(D4×D7) = C4⋊C4.D14central stem extension (φ=1)224C2^2.166(D4xD7)448,298
C22.167(D4×D7) = C28⋊Q8⋊C2central stem extension (φ=1)224C2^2.167(D4xD7)448,299
C22.168(D4×D7) = D4.2Dic14central stem extension (φ=1)224C2^2.168(D4xD7)448,300
C22.169(D4×D7) = Dic14.D4central stem extension (φ=1)224C2^2.169(D4xD7)448,301
C22.170(D4×D7) = (C8×Dic7)⋊C2central stem extension (φ=1)224C2^2.170(D4xD7)448,302
C22.171(D4×D7) = D4⋊D28central stem extension (φ=1)112C2^2.171(D4xD7)448,307
C22.172(D4×D7) = D14.D8central stem extension (φ=1)224C2^2.172(D4xD7)448,308
C22.173(D4×D7) = D14⋊D8central stem extension (φ=1)224C2^2.173(D4xD7)448,309
C22.174(D4×D7) = D4.6D28central stem extension (φ=1)112C2^2.174(D4xD7)448,310
C22.175(D4×D7) = D14.SD16central stem extension (φ=1)224C2^2.175(D4xD7)448,311
C22.176(D4×D7) = D14⋊SD16central stem extension (φ=1)224C2^2.176(D4xD7)448,312
C22.177(D4×D7) = C8⋊Dic7⋊C2central stem extension (φ=1)224C2^2.177(D4xD7)448,313
C22.178(D4×D7) = C7⋊C8⋊1D4central stem extension (φ=1)224C2^2.178(D4xD7)448,314
C22.179(D4×D7) = D4⋊3D28central stem extension (φ=1)224C2^2.179(D4xD7)448,315
C22.180(D4×D7) = C7⋊C8⋊D4central stem extension (φ=1)224C2^2.180(D4xD7)448,316
C22.181(D4×D7) = D4.D28central stem extension (φ=1)224C2^2.181(D4xD7)448,317
C22.182(D4×D7) = C56⋊1C4⋊C2central stem extension (φ=1)224C2^2.182(D4xD7)448,318
C22.183(D4×D7) = D28⋊3D4central stem extension (φ=1)224C2^2.183(D4xD7)448,320
C22.184(D4×D7) = D28.D4central stem extension (φ=1)224C2^2.184(D4xD7)448,321
C22.185(D4×D7) = Q8⋊Dic14central stem extension (φ=1)448C2^2.185(D4xD7)448,325
C22.186(D4×D7) = Dic7.1Q16central stem extension (φ=1)448C2^2.186(D4xD7)448,326
C22.187(D4×D7) = Dic7⋊Q16central stem extension (φ=1)448C2^2.187(D4xD7)448,327
C22.188(D4×D7) = Dic7.Q16central stem extension (φ=1)448C2^2.188(D4xD7)448,328
C22.189(D4×D7) = Q8⋊C4⋊D7central stem extension (φ=1)224C2^2.189(D4xD7)448,329
C22.190(D4×D7) = Q8.Dic14central stem extension (φ=1)448C2^2.190(D4xD7)448,330
C22.191(D4×D7) = C56⋊C4.C2central stem extension (φ=1)448C2^2.191(D4xD7)448,331
C22.192(D4×D7) = Dic14.11D4central stem extension (φ=1)224C2^2.192(D4xD7)448,332
C22.193(D4×D7) = Q8.2Dic14central stem extension (φ=1)448C2^2.193(D4xD7)448,333
C22.194(D4×D7) = Q8⋊Dic7⋊C2central stem extension (φ=1)224C2^2.194(D4xD7)448,334
C22.195(D4×D7) = D14.1SD16central stem extension (φ=1)224C2^2.195(D4xD7)448,339
C22.196(D4×D7) = Q8⋊2D28central stem extension (φ=1)224C2^2.196(D4xD7)448,340
C22.197(D4×D7) = D14⋊2SD16central stem extension (φ=1)224C2^2.197(D4xD7)448,341
C22.198(D4×D7) = D14⋊4Q16central stem extension (φ=1)224C2^2.198(D4xD7)448,342
C22.199(D4×D7) = D14.Q16central stem extension (φ=1)224C2^2.199(D4xD7)448,343
C22.200(D4×D7) = Q8.D28central stem extension (φ=1)224C2^2.200(D4xD7)448,344
C22.201(D4×D7) = D28⋊4D4central stem extension (φ=1)224C2^2.201(D4xD7)448,345
C22.202(D4×D7) = C7⋊(C8⋊D4)central stem extension (φ=1)224C2^2.202(D4xD7)448,346
C22.203(D4×D7) = D14⋊Q16central stem extension (φ=1)224C2^2.203(D4xD7)448,347
C22.204(D4×D7) = D14⋊C8.C2central stem extension (φ=1)224C2^2.204(D4xD7)448,348
C22.205(D4×D7) = (C2×C8).D14central stem extension (φ=1)224C2^2.205(D4xD7)448,349
C22.206(D4×D7) = C7⋊C8.D4central stem extension (φ=1)224C2^2.206(D4xD7)448,350
C22.207(D4×D7) = Dic7⋊SD16central stem extension (φ=1)224C2^2.207(D4xD7)448,352
C22.208(D4×D7) = D28.12D4central stem extension (φ=1)224C2^2.208(D4xD7)448,353
C22.209(D4×D7) = Dic14⋊Q8central stem extension (φ=1)448C2^2.209(D4xD7)448,388
C22.210(D4×D7) = C56⋊5Q8central stem extension (φ=1)448C2^2.210(D4xD7)448,389
C22.211(D4×D7) = C56⋊3Q8central stem extension (φ=1)448C2^2.211(D4xD7)448,390
C22.212(D4×D7) = Dic14.Q8central stem extension (φ=1)448C2^2.212(D4xD7)448,391
C22.213(D4×D7) = C56.8Q8central stem extension (φ=1)448C2^2.213(D4xD7)448,392
C22.214(D4×D7) = D14.2SD16central stem extension (φ=1)224C2^2.214(D4xD7)448,396
C22.215(D4×D7) = D14.4SD16central stem extension (φ=1)224C2^2.215(D4xD7)448,397
C22.216(D4×D7) = C8⋊8D28central stem extension (φ=1)224C2^2.216(D4xD7)448,398
C22.217(D4×D7) = C56⋊7D4central stem extension (φ=1)224C2^2.217(D4xD7)448,399
C22.218(D4×D7) = C4.Q8⋊D7central stem extension (φ=1)224C2^2.218(D4xD7)448,400
C22.219(D4×D7) = C28.(C4○D4)central stem extension (φ=1)224C2^2.219(D4xD7)448,401
C22.220(D4×D7) = C8.2D28central stem extension (φ=1)224C2^2.220(D4xD7)448,402
C22.221(D4×D7) = D28⋊Q8central stem extension (φ=1)224C2^2.221(D4xD7)448,404
C22.222(D4×D7) = D28.Q8central stem extension (φ=1)224C2^2.222(D4xD7)448,405
C22.223(D4×D7) = C56⋊2Q8central stem extension (φ=1)448C2^2.223(D4xD7)448,408
C22.224(D4×D7) = Dic14⋊2Q8central stem extension (φ=1)448C2^2.224(D4xD7)448,409
C22.225(D4×D7) = C56⋊4Q8central stem extension (φ=1)448C2^2.225(D4xD7)448,410
C22.226(D4×D7) = Dic14.2Q8central stem extension (φ=1)448C2^2.226(D4xD7)448,411
C22.227(D4×D7) = C56.4Q8central stem extension (φ=1)448C2^2.227(D4xD7)448,412
C22.228(D4×D7) = D14.5D8central stem extension (φ=1)224C2^2.228(D4xD7)448,416
C22.229(D4×D7) = C8⋊7D28central stem extension (φ=1)224C2^2.229(D4xD7)448,417
C22.230(D4×D7) = D14.2Q16central stem extension (φ=1)224C2^2.230(D4xD7)448,418
C22.231(D4×D7) = C2.D8⋊D7central stem extension (φ=1)224C2^2.231(D4xD7)448,419
C22.232(D4×D7) = C8⋊3D28central stem extension (φ=1)224C2^2.232(D4xD7)448,420
C22.233(D4×D7) = D14⋊2Q16central stem extension (φ=1)224C2^2.233(D4xD7)448,421
C22.234(D4×D7) = C2.D8⋊7D7central stem extension (φ=1)224C2^2.234(D4xD7)448,422
C22.235(D4×D7) = D28⋊2Q8central stem extension (φ=1)224C2^2.235(D4xD7)448,424
C22.236(D4×D7) = D28.2Q8central stem extension (φ=1)224C2^2.236(D4xD7)448,425
C22.237(D4×D7) = C23⋊Dic14central stem extension (φ=1)224C2^2.237(D4xD7)448,481
C22.238(D4×D7) = C24.6D14central stem extension (φ=1)224C2^2.238(D4xD7)448,482
C22.239(D4×D7) = C24.7D14central stem extension (φ=1)224C2^2.239(D4xD7)448,483
C22.240(D4×D7) = C24.9D14central stem extension (φ=1)224C2^2.240(D4xD7)448,486
C22.241(D4×D7) = C24.14D14central stem extension (φ=1)224C2^2.241(D4xD7)448,493
C22.242(D4×D7) = C23⋊2D28central stem extension (φ=1)224C2^2.242(D4xD7)448,494
C22.243(D4×D7) = C23.16D28central stem extension (φ=1)224C2^2.243(D4xD7)448,495
C22.244(D4×D7) = (C2×C4)⋊Dic14central stem extension (φ=1)448C2^2.244(D4xD7)448,513
C22.245(D4×D7) = (C2×C28).287D4central stem extension (φ=1)448C2^2.245(D4xD7)448,514
C22.246(D4×D7) = (C2×C28).54D4central stem extension (φ=1)448C2^2.246(D4xD7)448,518
C22.247(D4×D7) = (C2×C4)⋊3D28central stem extension (φ=1)224C2^2.247(D4xD7)448,525
C22.248(D4×D7) = (C2×C28).289D4central stem extension (φ=1)224C2^2.248(D4xD7)448,526
C22.249(D4×D7) = (C2×C28).290D4central stem extension (φ=1)224C2^2.249(D4xD7)448,527
C22.250(D4×D7) = (C2×C4).45D28central stem extension (φ=1)224C2^2.250(D4xD7)448,528
C22.251(D4×D7) = Dic7⋊D8central stem extension (φ=1)224C2^2.251(D4xD7)448,684
C22.252(D4×D7) = C56⋊5D4central stem extension (φ=1)224C2^2.252(D4xD7)448,685
C22.253(D4×D7) = (C2×D8).D7central stem extension (φ=1)224C2^2.253(D4xD7)448,687
C22.254(D4×D7) = C56⋊11D4central stem extension (φ=1)224C2^2.254(D4xD7)448,688
C22.255(D4×D7) = C56.22D4central stem extension (φ=1)224C2^2.255(D4xD7)448,689
C22.256(D4×D7) = D28⋊D4central stem extension (φ=1)112C2^2.256(D4xD7)448,690
C22.257(D4×D7) = C56⋊6D4central stem extension (φ=1)224C2^2.257(D4xD7)448,691
C22.258(D4×D7) = Dic14⋊D4central stem extension (φ=1)224C2^2.258(D4xD7)448,692
C22.259(D4×D7) = C56⋊12D4central stem extension (φ=1)224C2^2.259(D4xD7)448,693
C22.260(D4×D7) = Dic7⋊3SD16central stem extension (φ=1)224C2^2.260(D4xD7)448,696
C22.261(D4×D7) = Dic7⋊5SD16central stem extension (φ=1)224C2^2.261(D4xD7)448,697
C22.262(D4×D7) = (C7×D4).D4central stem extension (φ=1)224C2^2.262(D4xD7)448,699
C22.263(D4×D7) = (C7×Q8).D4central stem extension (φ=1)224C2^2.263(D4xD7)448,700
C22.264(D4×D7) = C56.31D4central stem extension (φ=1)224C2^2.264(D4xD7)448,701
C22.265(D4×D7) = C56.43D4central stem extension (φ=1)224C2^2.265(D4xD7)448,702
C22.266(D4×D7) = D14⋊6SD16central stem extension (φ=1)112C2^2.266(D4xD7)448,703
C22.267(D4×D7) = Dic14⋊7D4central stem extension (φ=1)224C2^2.267(D4xD7)448,704
C22.268(D4×D7) = C56⋊14D4central stem extension (φ=1)224C2^2.268(D4xD7)448,705
C22.269(D4×D7) = D28⋊7D4central stem extension (φ=1)224C2^2.269(D4xD7)448,706
C22.270(D4×D7) = Dic14.16D4central stem extension (φ=1)224C2^2.270(D4xD7)448,707
C22.271(D4×D7) = C56⋊8D4central stem extension (φ=1)224C2^2.271(D4xD7)448,708
C22.272(D4×D7) = C56⋊15D4central stem extension (φ=1)224C2^2.272(D4xD7)448,709
C22.273(D4×D7) = C56⋊9D4central stem extension (φ=1)224C2^2.273(D4xD7)448,710
C22.274(D4×D7) = C56.26D4central stem extension (φ=1)448C2^2.274(D4xD7)448,715
C22.275(D4×D7) = Dic7⋊3Q16central stem extension (φ=1)448C2^2.275(D4xD7)448,716
C22.276(D4×D7) = (C2×Q16)⋊D7central stem extension (φ=1)224C2^2.276(D4xD7)448,719
C22.277(D4×D7) = D14⋊5Q16central stem extension (φ=1)224C2^2.277(D4xD7)448,720
C22.278(D4×D7) = D28.17D4central stem extension (φ=1)224C2^2.278(D4xD7)448,721
C22.279(D4×D7) = D14⋊3Q16central stem extension (φ=1)224C2^2.279(D4xD7)448,722
C22.280(D4×D7) = C56.36D4central stem extension (φ=1)224C2^2.280(D4xD7)448,723
C22.281(D4×D7) = C56.37D4central stem extension (φ=1)224C2^2.281(D4xD7)448,724
C22.282(D4×D7) = C56.28D4central stem extension (φ=1)224C2^2.282(D4xD7)448,725
C22.283(D4×D7) = C24.20D14central stem extension (φ=1)224C2^2.283(D4xD7)448,756
C22.284(D4×D7) = C24.21D14central stem extension (φ=1)224C2^2.284(D4xD7)448,757

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