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Extensions 1→N→G→Q→1 with N=C28 and Q=C2×Q8

Direct product G=N×Q with N=C28 and Q=C2×Q8
dρLabelID
Q8×C2×C28448Q8xC2xC28448,1299

Semidirect products G=N:Q with N=C28 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C28⋊1(C2×Q8) = D4×Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28:1(C2xQ8)448,990
C28⋊2(C2×Q8) = D7×C4⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28:2(C2xQ8)448,1176
C28⋊3(C2×Q8) = D28⋊8Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28:3(C2xQ8)448,1180
C28⋊4(C2×Q8) = C2×C28⋊Q8φ: C2×Q8/C22 → C22 ⊆ Aut C28448C28:4(C2xQ8)448,950
C28⋊5(C2×Q8) = C2×C28⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28:5(C2xQ8)448,921
C28⋊6(C2×Q8) = C2×C4×Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28:6(C2xQ8)448,920
C28⋊7(C2×Q8) = C14×C4⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28:7(C2xQ8)448,1314
C28⋊8(C2×Q8) = Q8×D28φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28:8(C2xQ8)448,1028
C28⋊9(C2×Q8) = C4×Q8×D7φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28:9(C2xQ8)448,1024
C28⋊10(C2×Q8) = C7×D4×Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28:10(C2xQ8)448,1332

Non-split extensions G=N.Q with N=C28 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C28.1(C2×Q8) = Dic7.D8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.1(C2xQ8)448,293
C28.2(C2×Q8) = D4⋊Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.2(C2xQ8)448,295
C28.3(C2×Q8) = D4.Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.3(C2xQ8)448,297
C28.4(C2×Q8) = D4.2Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.4(C2xQ8)448,300
C28.5(C2×Q8) = Q8⋊Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.5(C2xQ8)448,325
C28.6(C2×Q8) = Dic7.Q16φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.6(C2xQ8)448,328
C28.7(C2×Q8) = Q8.Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.7(C2xQ8)448,330
C28.8(C2×Q8) = Q8.2Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.8(C2xQ8)448,333
C28.9(C2×Q8) = Dic14⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.9(C2xQ8)448,388
C28.10(C2×Q8) = C56⋊5Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.10(C2xQ8)448,389
C28.11(C2×Q8) = Dic14.Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.11(C2xQ8)448,391
C28.12(C2×Q8) = D7×C4.Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.12(C2xQ8)448,393
C28.13(C2×Q8) = (C8×D7)⋊C4φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.13(C2xQ8)448,394
C28.14(C2×Q8) = C8⋊(C4×D7)φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.14(C2xQ8)448,395
C28.15(C2×Q8) = D28⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.15(C2xQ8)448,404
C28.16(C2×Q8) = D28.Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.16(C2xQ8)448,405
C28.17(C2×Q8) = C56⋊2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.17(C2xQ8)448,408
C28.18(C2×Q8) = Dic14⋊2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.18(C2xQ8)448,409
C28.19(C2×Q8) = Dic14.2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.19(C2xQ8)448,411
C28.20(C2×Q8) = D7×C2.D8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.20(C2xQ8)448,413
C28.21(C2×Q8) = C8.27(C4×D7)φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.21(C2xQ8)448,414
C28.22(C2×Q8) = C56⋊(C2×C4)φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.22(C2xQ8)448,415
C28.23(C2×Q8) = D28⋊2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.23(C2xQ8)448,424
C28.24(C2×Q8) = D28.2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.24(C2xQ8)448,425
C28.25(C2×Q8) = C28.50D8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.25(C2xQ8)448,541
C28.26(C2×Q8) = C28.38SD16φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.26(C2xQ8)448,542
C28.27(C2×Q8) = D4.3Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.27(C2xQ8)448,543
C28.28(C2×Q8) = C28.48SD16φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.28(C2xQ8)448,554
C28.29(C2×Q8) = C28.23Q16φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.29(C2xQ8)448,555
C28.30(C2×Q8) = Q8.3Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.30(C2xQ8)448,556
C28.31(C2×Q8) = Dic14.4Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.31(C2xQ8)448,597
C28.32(C2×Q8) = C42.215D14φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.32(C2xQ8)448,598
C28.33(C2×Q8) = C42.68D14φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.33(C2xQ8)448,599
C28.34(C2×Q8) = D28.4Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.34(C2xQ8)448,600
C28.35(C2×Q8) = C28.17D8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.35(C2xQ8)448,612
C28.36(C2×Q8) = C28.SD16φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.36(C2xQ8)448,613
C28.37(C2×Q8) = C42.76D14φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.37(C2xQ8)448,614
C28.38(C2×Q8) = D28⋊5Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.38(C2xQ8)448,618
C28.39(C2×Q8) = D28⋊6Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.39(C2xQ8)448,621
C28.40(C2×Q8) = Dic14⋊5Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.40(C2xQ8)448,625
C28.41(C2×Q8) = Dic14⋊6Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.41(C2xQ8)448,628
C28.42(C2×Q8) = D4⋊5Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.42(C2xQ8)448,992
C28.43(C2×Q8) = D4⋊6Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.43(C2xQ8)448,996
C28.44(C2×Q8) = Q8×Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.44(C2xQ8)448,1019
C28.45(C2×Q8) = Q8⋊5Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.45(C2xQ8)448,1022
C28.46(C2×Q8) = Q8⋊6Dic14φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.46(C2xQ8)448,1023
C28.47(C2×Q8) = Dic14⋊7Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.47(C2xQ8)448,1138
C28.48(C2×Q8) = D7×C42.C2φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.48(C2xQ8)448,1140
C28.49(C2×Q8) = C42.236D14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.49(C2xQ8)448,1141
C28.50(C2×Q8) = C42.148D14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.50(C2xQ8)448,1142
C28.51(C2×Q8) = D28⋊7Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.51(C2xQ8)448,1143
C28.52(C2×Q8) = Dic14⋊8Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.52(C2xQ8)448,1174
C28.53(C2×Q8) = Dic14⋊9Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28448C28.53(C2xQ8)448,1175
C28.54(C2×Q8) = C42.241D14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.54(C2xQ8)448,1181
C28.55(C2×Q8) = C42.174D14φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.55(C2xQ8)448,1182
C28.56(C2×Q8) = D28⋊9Q8φ: C2×Q8/C4 → C22 ⊆ Aut C28224C28.56(C2xQ8)448,1183
C28.57(C2×Q8) = C56⋊3Q8φ: C2×Q8/C22 → C22 ⊆ Aut C28448C28.57(C2xQ8)448,390
C28.58(C2×Q8) = C56.8Q8φ: C2×Q8/C22 → C22 ⊆ Aut C28448C28.58(C2xQ8)448,392
C28.59(C2×Q8) = C56⋊4Q8φ: C2×Q8/C22 → C22 ⊆ Aut C28448C28.59(C2xQ8)448,410
C28.60(C2×Q8) = C56.4Q8φ: C2×Q8/C22 → C22 ⊆ Aut C28448C28.60(C2xQ8)448,412
C28.61(C2×Q8) = C2×C28.Q8φ: C2×Q8/C22 → C22 ⊆ Aut C28448C28.61(C2xQ8)448,496
C28.62(C2×Q8) = C2×C4.Dic14φ: C2×Q8/C22 → C22 ⊆ Aut C28448C28.62(C2xQ8)448,497
C28.63(C2×Q8) = C4.Dic7⋊C4φ: C2×Q8/C22 → C22 ⊆ Aut C28224C28.63(C2xQ8)448,498
C28.64(C2×Q8) = C28.(C2×Q8)φ: C2×Q8/C22 → C22 ⊆ Aut C28224C28.64(C2xQ8)448,529
C28.65(C2×Q8) = C28.45(C4⋊C4)φ: C2×Q8/C22 → C22 ⊆ Aut C28224C28.65(C2xQ8)448,532
C28.66(C2×Q8) = C2×C28.3Q8φ: C2×Q8/C22 → C22 ⊆ Aut C28448C28.66(C2xQ8)448,952
C28.67(C2×Q8) = C14.72+ 1+4φ: C2×Q8/C22 → C22 ⊆ Aut C28224C28.67(C2xQ8)448,953
C28.68(C2×Q8) = C42.88D14φ: C2×Q8/C22 → C22 ⊆ Aut C28224C28.68(C2xQ8)448,970
C28.69(C2×Q8) = C56⋊9Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.69(C2xQ8)448,214
C28.70(C2×Q8) = C56⋊8Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.70(C2xQ8)448,216
C28.71(C2×Q8) = C56.13Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.71(C2xQ8)448,217
C28.72(C2×Q8) = C8⋊Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.72(C2xQ8)448,236
C28.73(C2×Q8) = C2×C8⋊Dic7φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.73(C2xQ8)448,638
C28.74(C2×Q8) = C2×C56⋊1C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.74(C2xQ8)448,639
C28.75(C2×Q8) = C23.22D28φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.75(C2xQ8)448,640
C28.76(C2×Q8) = C23.47D28φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.76(C2xQ8)448,655
C28.77(C2×Q8) = C2×C28.6Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.77(C2xQ8)448,922
C28.78(C2×Q8) = C42.90D14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.78(C2xQ8)448,972
C28.79(C2×Q8) = C8×Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.79(C2xQ8)448,212
C28.80(C2×Q8) = C56⋊11Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.80(C2xQ8)448,213
C28.81(C2×Q8) = C56⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.81(C2xQ8)448,235
C28.82(C2×Q8) = C2×C28⋊C8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.82(C2xQ8)448,457
C28.83(C2×Q8) = C28⋊7M4(2)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.83(C2xQ8)448,458
C28.84(C2×Q8) = C42.43D14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.84(C2xQ8)448,533
C28.85(C2×Q8) = C2×Dic7⋊C8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.85(C2xQ8)448,633
C28.86(C2×Q8) = Dic7⋊C8⋊C2φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.86(C2xQ8)448,636
C28.87(C2×Q8) = Dic7⋊4M4(2)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.87(C2xQ8)448,652
C28.88(C2×Q8) = C28.439(C2×D4)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.88(C2xQ8)448,653
C28.89(C2×Q8) = C42.274D14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.89(C2xQ8)448,923
C28.90(C2×Q8) = C14×C4.Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.90(C2xQ8)448,833
C28.91(C2×Q8) = C14×C2.D8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.91(C2xQ8)448,834
C28.92(C2×Q8) = C7×C23.25D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.92(C2xQ8)448,835
C28.93(C2×Q8) = C7×M4(2)⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.93(C2xQ8)448,836
C28.94(C2×Q8) = C7×C8⋊3Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.94(C2xQ8)448,906
C28.95(C2×Q8) = C7×C8.5Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.95(C2xQ8)448,907
C28.96(C2×Q8) = C7×C8⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.96(C2xQ8)448,908
C28.97(C2×Q8) = C7×C8⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.97(C2xQ8)448,909
C28.98(C2×Q8) = C14×C42.C2φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28448C28.98(C2xQ8)448,1310
C28.99(C2×Q8) = C7×C23.37C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.99(C2xQ8)448,1316
C28.100(C2×Q8) = C7×C23.41C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C28224C28.100(C2xQ8)448,1327
C28.101(C2×Q8) = Dic14.3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.101(C2xQ8)448,363
C28.102(C2×Q8) = D28⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.102(C2xQ8)448,376
C28.103(C2×Q8) = D28⋊4Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.103(C2xQ8)448,380
C28.104(C2×Q8) = D28.3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.104(C2xQ8)448,381
C28.105(C2×Q8) = C28.7Q16φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.105(C2xQ8)448,384
C28.106(C2×Q8) = Dic14⋊4Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.106(C2xQ8)448,385
C28.107(C2×Q8) = Dic14⋊10Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.107(C2xQ8)448,1020
C28.108(C2×Q8) = D28⋊10Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.108(C2xQ8)448,1032
C28.109(C2×Q8) = C42.27D14φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.109(C2xQ8)448,362
C28.110(C2×Q8) = Dic14⋊C8φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.110(C2xQ8)448,364
C28.111(C2×Q8) = C28.M4(2)φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.111(C2xQ8)448,365
C28.112(C2×Q8) = D7×C4⋊C8φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.112(C2xQ8)448,366
C28.113(C2×Q8) = C28⋊M4(2)φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.113(C2xQ8)448,371
C28.114(C2×Q8) = C42.30D14φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.114(C2xQ8)448,373
C28.115(C2×Q8) = Q8×C7⋊C8φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.115(C2xQ8)448,557
C28.116(C2×Q8) = C42.210D14φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.116(C2xQ8)448,558
C28.117(C2×Q8) = C42.232D14φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.117(C2xQ8)448,1031
C28.118(C2×Q8) = C7×D4⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.118(C2xQ8)448,882
C28.119(C2×Q8) = C7×Q8⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.119(C2xQ8)448,883
C28.120(C2×Q8) = C7×D4⋊2Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.120(C2xQ8)448,884
C28.121(C2×Q8) = C7×C4.Q16φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.121(C2xQ8)448,885
C28.122(C2×Q8) = C7×D4.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.122(C2xQ8)448,886
C28.123(C2×Q8) = C7×Q8.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.123(C2xQ8)448,887
C28.124(C2×Q8) = C7×D4⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28224C28.124(C2xQ8)448,1337
C28.125(C2×Q8) = C7×Q8⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.125(C2xQ8)448,1340
C28.126(C2×Q8) = C7×Q82φ: C2×Q8/Q8 → C2 ⊆ Aut C28448C28.126(C2xQ8)448,1341
C28.127(C2×Q8) = C14×C4⋊C8central extension (φ=1)448C28.127(C2xQ8)448,830
C28.128(C2×Q8) = C7×C4⋊M4(2)central extension (φ=1)224C28.128(C2xQ8)448,831
C28.129(C2×Q8) = C7×C42.6C22central extension (φ=1)224C28.129(C2xQ8)448,832
C28.130(C2×Q8) = Q8×C56central extension (φ=1)448C28.130(C2xQ8)448,853
C28.131(C2×Q8) = C7×C8⋊4Q8central extension (φ=1)448C28.131(C2xQ8)448,854

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