Extensions 1→N→G→Q→1 with N=C4 and Q=D42D7

Direct product G=N×Q with N=C4 and Q=D42D7
dρLabelID
C4×D42D7224C4xD4:2D7448,989

Semidirect products G=N:Q with N=C4 and Q=D42D7
extensionφ:Q→Aut NdρLabelID
C41(D42D7) = Dic1411D4φ: D42D7/Dic14C2 ⊆ Aut C4224C4:1(D4:2D7)448,1171
C42(D42D7) = C42.238D14φ: D42D7/C4×D7C2 ⊆ Aut C4224C4:2(D4:2D7)448,1169
C43(D42D7) = C28⋊(C4○D4)φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4:3(D4:2D7)448,1049
C44(D42D7) = C14.732- 1+4φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4:4(D4:2D7)448,1064
C45(D42D7) = D46D28φ: D42D7/C7×D4C2 ⊆ Aut C4224C4:5(D4:2D7)448,1008

Non-split extensions G=N.Q with N=C4 and Q=D42D7
extensionφ:Q→Aut NdρLabelID
C4.1(D42D7) = C42.61D14φ: D42D7/Dic14C2 ⊆ Aut C4224C4.1(D4:2D7)448,588
C4.2(D42D7) = D28.23D4φ: D42D7/Dic14C2 ⊆ Aut C4224C4.2(D4:2D7)448,591
C4.3(D42D7) = C282D8φ: D42D7/Dic14C2 ⊆ Aut C4224C4.3(D4:2D7)448,606
C4.4(D42D7) = Dic149D4φ: D42D7/Dic14C2 ⊆ Aut C4224C4.4(D4:2D7)448,609
C4.5(D42D7) = C285SD16φ: D42D7/Dic14C2 ⊆ Aut C4224C4.5(D4:2D7)448,617
C4.6(D42D7) = C28⋊Q16φ: D42D7/Dic14C2 ⊆ Aut C4448C4.6(D4:2D7)448,624
C4.7(D42D7) = Dic7⋊D8φ: D42D7/Dic14C2 ⊆ Aut C4224C4.7(D4:2D7)448,684
C4.8(D42D7) = (C2×D8).D7φ: D42D7/Dic14C2 ⊆ Aut C4224C4.8(D4:2D7)448,687
C4.9(D42D7) = Dic73SD16φ: D42D7/Dic14C2 ⊆ Aut C4224C4.9(D4:2D7)448,696
C4.10(D42D7) = Dic75SD16φ: D42D7/Dic14C2 ⊆ Aut C4224C4.10(D4:2D7)448,697
C4.11(D42D7) = (C7×D4).D4φ: D42D7/Dic14C2 ⊆ Aut C4224C4.11(D4:2D7)448,699
C4.12(D42D7) = (C7×Q8).D4φ: D42D7/Dic14C2 ⊆ Aut C4224C4.12(D4:2D7)448,700
C4.13(D42D7) = Dic73Q16φ: D42D7/Dic14C2 ⊆ Aut C4448C4.13(D4:2D7)448,716
C4.14(D42D7) = (C2×Q16)⋊D7φ: D42D7/Dic14C2 ⊆ Aut C4224C4.14(D4:2D7)448,719
C4.15(D42D7) = C42.139D14φ: D42D7/Dic14C2 ⊆ Aut C4224C4.15(D4:2D7)448,1124
C4.16(D42D7) = C42.143D14φ: D42D7/Dic14C2 ⊆ Aut C4224C4.16(D4:2D7)448,1134
C4.17(D42D7) = C42.166D14φ: D42D7/Dic14C2 ⊆ Aut C4224C4.17(D4:2D7)448,1166
C4.18(D42D7) = Dic148Q8φ: D42D7/Dic14C2 ⊆ Aut C4448C4.18(D4:2D7)448,1174
C4.19(D42D7) = C42.177D14φ: D42D7/Dic14C2 ⊆ Aut C4224C4.19(D4:2D7)448,1185
C4.20(D42D7) = C42.62D14φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.20(D4:2D7)448,589
C4.21(D42D7) = C42.213D14φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.21(D4:2D7)448,590
C4.22(D42D7) = C28.16D8φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.22(D4:2D7)448,604
C4.23(D42D7) = C42.72D14φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.23(D4:2D7)448,605
C4.24(D42D7) = C28.Q16φ: D42D7/C4×D7C2 ⊆ Aut C4448C4.24(D4:2D7)448,615
C4.25(D42D7) = C42.77D14φ: D42D7/C4×D7C2 ⊆ Aut C4448C4.25(D4:2D7)448,616
C4.26(D42D7) = D8×Dic7φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.26(D4:2D7)448,683
C4.27(D42D7) = D8⋊Dic7φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.27(D4:2D7)448,686
C4.28(D42D7) = C566D4φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.28(D4:2D7)448,691
C4.29(D42D7) = C5612D4φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.29(D4:2D7)448,693
C4.30(D42D7) = SD16×Dic7φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.30(D4:2D7)448,695
C4.31(D42D7) = SD16⋊Dic7φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.31(D4:2D7)448,698
C4.32(D42D7) = C5614D4φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.32(D4:2D7)448,705
C4.33(D42D7) = C568D4φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.33(D4:2D7)448,708
C4.34(D42D7) = Q16×Dic7φ: D42D7/C4×D7C2 ⊆ Aut C4448C4.34(D4:2D7)448,717
C4.35(D42D7) = Q16⋊Dic7φ: D42D7/C4×D7C2 ⊆ Aut C4448C4.35(D4:2D7)448,718
C4.36(D42D7) = D143Q16φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.36(D4:2D7)448,722
C4.37(D42D7) = C56.36D4φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.37(D4:2D7)448,723
C4.38(D42D7) = C42.234D14φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.38(D4:2D7)448,1133
C4.39(D42D7) = C42.144D14φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.39(D4:2D7)448,1135
C4.40(D42D7) = C42.168D14φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.40(D4:2D7)448,1172
C4.41(D42D7) = C42.241D14φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.41(D4:2D7)448,1181
C4.42(D42D7) = C42.176D14φ: D42D7/C4×D7C2 ⊆ Aut C4224C4.42(D4:2D7)448,1184
C4.43(D42D7) = Dic74D8φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.43(D4:2D7)448,290
C4.44(D42D7) = D4.D7⋊C4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.44(D4:2D7)448,291
C4.45(D42D7) = Dic76SD16φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.45(D4:2D7)448,292
C4.46(D42D7) = Dic7.SD16φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.46(D4:2D7)448,294
C4.47(D42D7) = C4⋊C4.D14φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.47(D4:2D7)448,298
C4.48(D42D7) = C28⋊Q8⋊C2φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.48(D4:2D7)448,299
C4.49(D42D7) = (C8×Dic7)⋊C2φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.49(D4:2D7)448,302
C4.50(D42D7) = D4⋊D7⋊C4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.50(D4:2D7)448,319
C4.51(D42D7) = Dic77SD16φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.51(D4:2D7)448,322
C4.52(D42D7) = C7⋊Q16⋊C4φ: D42D7/C2×Dic7C2 ⊆ Aut C4448C4.52(D4:2D7)448,323
C4.53(D42D7) = Dic74Q16φ: D42D7/C2×Dic7C2 ⊆ Aut C4448C4.53(D4:2D7)448,324
C4.54(D42D7) = Dic7.1Q16φ: D42D7/C2×Dic7C2 ⊆ Aut C4448C4.54(D4:2D7)448,326
C4.55(D42D7) = Q8⋊C4⋊D7φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.55(D4:2D7)448,329
C4.56(D42D7) = C56⋊C4.C2φ: D42D7/C2×Dic7C2 ⊆ Aut C4448C4.56(D4:2D7)448,331
C4.57(D42D7) = Q8⋊Dic7⋊C2φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.57(D4:2D7)448,334
C4.58(D42D7) = Q8⋊D7⋊C4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.58(D4:2D7)448,351
C4.59(D42D7) = C7⋊C822D4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.59(D4:2D7)448,572
C4.60(D42D7) = C4⋊D4⋊D7φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.60(D4:2D7)448,573
C4.61(D42D7) = C7⋊C823D4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.61(D4:2D7)448,575
C4.62(D42D7) = C7⋊C85D4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.62(D4:2D7)448,576
C4.63(D42D7) = C7⋊C824D4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.63(D4:2D7)448,582
C4.64(D42D7) = C7⋊C86D4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.64(D4:2D7)448,583
C4.65(D42D7) = C7⋊C8.29D4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.65(D4:2D7)448,585
C4.66(D42D7) = C7⋊C8.6D4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.66(D4:2D7)448,586
C4.67(D42D7) = C4⋊C4.178D14φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.67(D4:2D7)448,1053
C4.68(D42D7) = C14.712- 1+4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.68(D4:2D7)448,1056
C4.69(D42D7) = C14.472+ 1+4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.69(D4:2D7)448,1072
C4.70(D42D7) = (Q8×Dic7)⋊C2φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.70(D4:2D7)448,1075
C4.71(D42D7) = C22⋊Q825D7φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.71(D4:2D7)448,1077
C4.72(D42D7) = C14.152- 1+4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.72(D4:2D7)448,1078
C4.73(D42D7) = C14.242- 1+4φ: D42D7/C2×Dic7C2 ⊆ Aut C4224C4.73(D4:2D7)448,1096
C4.74(D42D7) = Dic7.D8φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.74(D4:2D7)448,293
C4.75(D42D7) = D4⋊Dic14φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.75(D4:2D7)448,295
C4.76(D42D7) = D4.Dic14φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.76(D4:2D7)448,297
C4.77(D42D7) = D4.2Dic14φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.77(D4:2D7)448,300
C4.78(D42D7) = D14.D8φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.78(D4:2D7)448,308
C4.79(D42D7) = D14.SD16φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.79(D4:2D7)448,311
C4.80(D42D7) = C8⋊Dic7⋊C2φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.80(D4:2D7)448,313
C4.81(D42D7) = C561C4⋊C2φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.81(D4:2D7)448,318
C4.82(D42D7) = Q8⋊Dic14φ: D42D7/C7⋊D4C2 ⊆ Aut C4448C4.82(D4:2D7)448,325
C4.83(D42D7) = Dic7.Q16φ: D42D7/C7⋊D4C2 ⊆ Aut C4448C4.83(D4:2D7)448,328
C4.84(D42D7) = Q8.Dic14φ: D42D7/C7⋊D4C2 ⊆ Aut C4448C4.84(D4:2D7)448,330
C4.85(D42D7) = Q8.2Dic14φ: D42D7/C7⋊D4C2 ⊆ Aut C4448C4.85(D4:2D7)448,333
C4.86(D42D7) = D14.1SD16φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.86(D4:2D7)448,339
C4.87(D42D7) = D14.Q16φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.87(D4:2D7)448,343
C4.88(D42D7) = D14⋊C8.C2φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.88(D4:2D7)448,348
C4.89(D42D7) = (C2×C8).D14φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.89(D4:2D7)448,349
C4.90(D42D7) = (C2×C14).D8φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.90(D4:2D7)448,567
C4.91(D42D7) = C4⋊D4.D7φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.91(D4:2D7)448,568
C4.92(D42D7) = (C2×D4).D14φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.92(D4:2D7)448,569
C4.93(D42D7) = C22⋊Q8.D7φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.93(D4:2D7)448,577
C4.94(D42D7) = (C2×C14).Q16φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.94(D4:2D7)448,578
C4.95(D42D7) = C14.(C4○D8)φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.95(D4:2D7)448,579
C4.96(D42D7) = C14.432+ 1+4φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.96(D4:2D7)448,1067
C4.97(D42D7) = C14.452+ 1+4φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.97(D4:2D7)448,1069
C4.98(D42D7) = C14.1152+ 1+4φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.98(D4:2D7)448,1071
C4.99(D42D7) = C14.1182+ 1+4φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.99(D4:2D7)448,1088
C4.100(D42D7) = C14.212- 1+4φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.100(D4:2D7)448,1092
C4.101(D42D7) = C14.232- 1+4φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.101(D4:2D7)448,1094
C4.102(D42D7) = C14.772- 1+4φ: D42D7/C7⋊D4C2 ⊆ Aut C4224C4.102(D4:2D7)448,1095
C4.103(D42D7) = C23.34D28φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.103(D4:2D7)448,255
C4.104(D42D7) = C23.35D28φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.104(D4:2D7)448,256
C4.105(D42D7) = C23.10D28φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.105(D4:2D7)448,257
C4.106(D42D7) = C23.38D28φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.106(D4:2D7)448,269
C4.107(D42D7) = C22.D56φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.107(D4:2D7)448,270
C4.108(D42D7) = C23.13D28φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.108(D4:2D7)448,271
C4.109(D42D7) = Dic14.3Q8φ: D42D7/C7×D4C2 ⊆ Aut C4448C4.109(D4:2D7)448,363
C4.110(D42D7) = D283Q8φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.110(D4:2D7)448,376
C4.111(D42D7) = D284Q8φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.111(D4:2D7)448,380
C4.112(D42D7) = D28.3Q8φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.112(D4:2D7)448,381
C4.113(D42D7) = C28.7Q16φ: D42D7/C7×D4C2 ⊆ Aut C4448C4.113(D4:2D7)448,384
C4.114(D42D7) = Dic144Q8φ: D42D7/C7×D4C2 ⊆ Aut C4448C4.114(D4:2D7)448,385
C4.115(D42D7) = C42.105D14φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.115(D4:2D7)448,994
C4.116(D42D7) = C42.106D14φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.116(D4:2D7)448,995
C4.117(D42D7) = D46Dic14φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.117(D4:2D7)448,996
C4.118(D42D7) = C42.117D14φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.118(D4:2D7)448,1016
C4.119(D42D7) = C42.119D14φ: D42D7/C7×D4C2 ⊆ Aut C4224C4.119(D4:2D7)448,1018
C4.120(D42D7) = Dic7.5M4(2)central extension (φ=1)224C4.120(D4:2D7)448,252
C4.121(D42D7) = Dic7.M4(2)central extension (φ=1)224C4.121(D4:2D7)448,253
C4.122(D42D7) = C56⋊C4⋊C2central extension (φ=1)224C4.122(D4:2D7)448,254
C4.123(D42D7) = C7⋊D4⋊C8central extension (φ=1)224C4.123(D4:2D7)448,259
C4.124(D42D7) = D142M4(2)central extension (φ=1)224C4.124(D4:2D7)448,262
C4.125(D42D7) = Dic7⋊M4(2)central extension (φ=1)224C4.125(D4:2D7)448,263
C4.126(D42D7) = C7⋊C826D4central extension (φ=1)224C4.126(D4:2D7)448,264
C4.127(D42D7) = C42.27D14central extension (φ=1)448C4.127(D4:2D7)448,362
C4.128(D42D7) = Dic14⋊C8central extension (φ=1)448C4.128(D4:2D7)448,364
C4.129(D42D7) = C28.M4(2)central extension (φ=1)448C4.129(D4:2D7)448,365
C4.130(D42D7) = C42.200D14central extension (φ=1)224C4.130(D4:2D7)448,367
C4.131(D42D7) = C42.202D14central extension (φ=1)224C4.131(D4:2D7)448,369
C4.132(D42D7) = C42.31D14central extension (φ=1)224C4.132(D4:2D7)448,374
C4.133(D42D7) = D4×C7⋊C8central extension (φ=1)224C4.133(D4:2D7)448,544
C4.134(D42D7) = C42.47D14central extension (φ=1)224C4.134(D4:2D7)448,545
C4.135(D42D7) = C283M4(2)central extension (φ=1)224C4.135(D4:2D7)448,546
C4.136(D42D7) = C42.102D14central extension (φ=1)224C4.136(D4:2D7)448,991
C4.137(D42D7) = C42.229D14central extension (φ=1)224C4.137(D4:2D7)448,1010

׿
×
𝔽