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Extensions 1→N→G→Q→1 with N=C6 and Q=C8:C22

Direct product G=NxQ with N=C6 and Q=C8:C22
dρLabelID
C6xC8:C2248C6xC8:C2^2192,1462

Semidirect products G=N:Q with N=C6 and Q=C8:C22
extensionφ:Q→Aut NdρLabelID
C6:1(C8:C22) = C2xC8:D6φ: C8:C22/M4(2) → C2 ⊆ Aut C648C6:1(C8:C2^2)192,1305
C6:2(C8:C22) = C2xD8:S3φ: C8:C22/D8 → C2 ⊆ Aut C648C6:2(C8:C2^2)192,1314
C6:3(C8:C22) = C2xQ8:3D6φ: C8:C22/SD16 → C2 ⊆ Aut C648C6:3(C8:C2^2)192,1318
C6:4(C8:C22) = C2xD12:6C22φ: C8:C22/C2xD4 → C2 ⊆ Aut C648C6:4(C8:C2^2)192,1352
C6:5(C8:C22) = C2xD4:D6φ: C8:C22/C4oD4 → C2 ⊆ Aut C648C6:5(C8:C2^2)192,1379

Non-split extensions G=N.Q with N=C6 and Q=C8:C22
extensionφ:Q→Aut NdρLabelID
C6.1(C8:C22) = C8:Dic6φ: C8:C22/M4(2) → C2 ⊆ Aut C6192C6.1(C8:C2^2)192,261
C6.2(C8:C22) = C42.16D6φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.2(C8:C2^2)192,269
C6.3(C8:C22) = D24:C4φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.3(C8:C2^2)192,270
C6.4(C8:C22) = C8:D12φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.4(C8:C2^2)192,271
C6.5(C8:C22) = C42.19D6φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.5(C8:C2^2)192,272
C6.6(C8:C22) = C42.20D6φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.6(C8:C2^2)192,273
C6.7(C8:C22) = C23.40D12φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.7(C8:C2^2)192,281
C6.8(C8:C22) = D12.31D4φ: C8:C22/M4(2) → C2 ⊆ Aut C648C6.8(C8:C2^2)192,290
C6.9(C8:C22) = D12:13D4φ: C8:C22/M4(2) → C2 ⊆ Aut C648C6.9(C8:C2^2)192,291
C6.10(C8:C22) = D12:14D4φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.10(C8:C2^2)192,293
C6.11(C8:C22) = C23.43D12φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.11(C8:C2^2)192,294
C6.12(C8:C22) = C23.18D12φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.12(C8:C2^2)192,296
C6.13(C8:C22) = D12:3Q8φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.13(C8:C2^2)192,401
C6.14(C8:C22) = C4:D24φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.14(C8:C2^2)192,402
C6.15(C8:C22) = D12.19D4φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.15(C8:C2^2)192,403
C6.16(C8:C22) = D12.3Q8φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.16(C8:C2^2)192,406
C6.17(C8:C22) = Dic6:8D4φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.17(C8:C2^2)192,407
C6.18(C8:C22) = Dic6:3Q8φ: C8:C22/M4(2) → C2 ⊆ Aut C6192C6.18(C8:C2^2)192,409
C6.19(C8:C22) = C23.52D12φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.19(C8:C2^2)192,680
C6.20(C8:C22) = C23.53D12φ: C8:C22/M4(2) → C2 ⊆ Aut C648C6.20(C8:C2^2)192,690
C6.21(C8:C22) = C23.54D12φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.21(C8:C2^2)192,692
C6.22(C8:C22) = C24:2D4φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.22(C8:C2^2)192,693
C6.23(C8:C22) = C24:3D4φ: C8:C22/M4(2) → C2 ⊆ Aut C696C6.23(C8:C2^2)192,694
C6.24(C8:C22) = D4.S3:C4φ: C8:C22/D8 → C2 ⊆ Aut C696C6.24(C8:C2^2)192,316
C6.25(C8:C22) = D4:Dic6φ: C8:C22/D8 → C2 ⊆ Aut C696C6.25(C8:C2^2)192,320
C6.26(C8:C22) = Dic6:2D4φ: C8:C22/D8 → C2 ⊆ Aut C696C6.26(C8:C2^2)192,321
C6.27(C8:C22) = D4.Dic6φ: C8:C22/D8 → C2 ⊆ Aut C696C6.27(C8:C2^2)192,322
C6.28(C8:C22) = C12:Q8:C2φ: C8:C22/D8 → C2 ⊆ Aut C696C6.28(C8:C2^2)192,324
C6.29(C8:C22) = C4:C4:19D6φ: C8:C22/D8 → C2 ⊆ Aut C648C6.29(C8:C2^2)192,329
C6.30(C8:C22) = D4:(C4xS3)φ: C8:C22/D8 → C2 ⊆ Aut C696C6.30(C8:C2^2)192,330
C6.31(C8:C22) = D6:5SD16φ: C8:C22/D8 → C2 ⊆ Aut C648C6.31(C8:C2^2)192,335
C6.32(C8:C22) = D6.SD16φ: C8:C22/D8 → C2 ⊆ Aut C696C6.32(C8:C2^2)192,336
C6.33(C8:C22) = D6:C8:11C2φ: C8:C22/D8 → C2 ⊆ Aut C696C6.33(C8:C2^2)192,338
C6.34(C8:C22) = C3:C8:1D4φ: C8:C22/D8 → C2 ⊆ Aut C696C6.34(C8:C2^2)192,339
C6.35(C8:C22) = D4:3D12φ: C8:C22/D8 → C2 ⊆ Aut C696C6.35(C8:C2^2)192,340
C6.36(C8:C22) = C3:C8:D4φ: C8:C22/D8 → C2 ⊆ Aut C696C6.36(C8:C2^2)192,341
C6.37(C8:C22) = D12.D4φ: C8:C22/D8 → C2 ⊆ Aut C696C6.37(C8:C2^2)192,346
C6.38(C8:C22) = Dic3.Q16φ: C8:C22/D8 → C2 ⊆ Aut C6192C6.38(C8:C2^2)192,434
C6.39(C8:C22) = C24:4Q8φ: C8:C22/D8 → C2 ⊆ Aut C6192C6.39(C8:C2^2)192,435
C6.40(C8:C22) = C8:S3:C4φ: C8:C22/D8 → C2 ⊆ Aut C696C6.40(C8:C2^2)192,440
C6.41(C8:C22) = D6.2Q16φ: C8:C22/D8 → C2 ⊆ Aut C696C6.41(C8:C2^2)192,443
C6.42(C8:C22) = C2.D8:S3φ: C8:C22/D8 → C2 ⊆ Aut C696C6.42(C8:C2^2)192,444
C6.43(C8:C22) = C8:3D12φ: C8:C22/D8 → C2 ⊆ Aut C696C6.43(C8:C2^2)192,445
C6.44(C8:C22) = C24:C2:C4φ: C8:C22/D8 → C2 ⊆ Aut C696C6.44(C8:C2^2)192,448
C6.45(C8:C22) = D12.2Q8φ: C8:C22/D8 → C2 ⊆ Aut C696C6.45(C8:C2^2)192,450
C6.46(C8:C22) = Dic3:D8φ: C8:C22/D8 → C2 ⊆ Aut C696C6.46(C8:C2^2)192,709
C6.47(C8:C22) = D8:Dic3φ: C8:C22/D8 → C2 ⊆ Aut C696C6.47(C8:C2^2)192,711
C6.48(C8:C22) = (C6xD8).C2φ: C8:C22/D8 → C2 ⊆ Aut C696C6.48(C8:C2^2)192,712
C6.49(C8:C22) = C24:11D4φ: C8:C22/D8 → C2 ⊆ Aut C696C6.49(C8:C2^2)192,713
C6.50(C8:C22) = D12:D4φ: C8:C22/D8 → C2 ⊆ Aut C648C6.50(C8:C2^2)192,715
C6.51(C8:C22) = Dic6:D4φ: C8:C22/D8 → C2 ⊆ Aut C696C6.51(C8:C2^2)192,717
C6.52(C8:C22) = C24:12D4φ: C8:C22/D8 → C2 ⊆ Aut C696C6.52(C8:C2^2)192,718
C6.53(C8:C22) = C4:C4.D6φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.53(C8:C2^2)192,323
C6.54(C8:C22) = D4.2Dic6φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.54(C8:C2^2)192,325
C6.55(C8:C22) = D4:D12φ: C8:C22/SD16 → C2 ⊆ Aut C648C6.55(C8:C2^2)192,332
C6.56(C8:C22) = C24:1C4:C2φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.56(C8:C2^2)192,343
C6.57(C8:C22) = D4:S3:C4φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.57(C8:C2^2)192,344
C6.58(C8:C22) = D12:3D4φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.58(C8:C2^2)192,345
C6.59(C8:C22) = Q8:3Dic6φ: C8:C22/SD16 → C2 ⊆ Aut C6192C6.59(C8:C2^2)192,352
C6.60(C8:C22) = (C2xC8).D6φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.60(C8:C2^2)192,353
C6.61(C8:C22) = Q8:7(C4xS3)φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.61(C8:C2^2)192,362
C6.62(C8:C22) = Q8:4D12φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.62(C8:C2^2)192,369
C6.63(C8:C22) = D6.Q16φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.63(C8:C2^2)192,370
C6.64(C8:C22) = C3:(C8:D4)φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.64(C8:C2^2)192,371
C6.65(C8:C22) = Q8:3(C4xS3)φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.65(C8:C2^2)192,376
C6.66(C8:C22) = D12.12D4φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.66(C8:C2^2)192,378
C6.67(C8:C22) = C24:3Q8φ: C8:C22/SD16 → C2 ⊆ Aut C6192C6.67(C8:C2^2)192,415
C6.68(C8:C22) = C8:(C4xS3)φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.68(C8:C2^2)192,420
C6.69(C8:C22) = D6.4SD16φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.69(C8:C2^2)192,422
C6.70(C8:C22) = C24:7D4φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.70(C8:C2^2)192,424
C6.71(C8:C22) = C4.Q8:S3φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.71(C8:C2^2)192,425
C6.72(C8:C22) = D24:9C4φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.72(C8:C2^2)192,428
C6.73(C8:C22) = D12:Q8φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.73(C8:C2^2)192,429
C6.74(C8:C22) = D12.Q8φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.74(C8:C2^2)192,430
C6.75(C8:C22) = Dic3:5SD16φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.75(C8:C2^2)192,722
C6.76(C8:C22) = SD16:Dic3φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.76(C8:C2^2)192,723
C6.77(C8:C22) = (C3xD4).D4φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.77(C8:C2^2)192,724
C6.78(C8:C22) = D6:6SD16φ: C8:C22/SD16 → C2 ⊆ Aut C648C6.78(C8:C2^2)192,728
C6.79(C8:C22) = D12:7D4φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.79(C8:C2^2)192,731
C6.80(C8:C22) = C24:8D4φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.80(C8:C2^2)192,733
C6.81(C8:C22) = C24:9D4φ: C8:C22/SD16 → C2 ⊆ Aut C696C6.81(C8:C2^2)192,735
C6.82(C8:C22) = C4:C4.225D6φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.82(C8:C2^2)192,523
C6.83(C8:C22) = C4oD12:C4φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.83(C8:C2^2)192,525
C6.84(C8:C22) = C4:C4.228D6φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.84(C8:C2^2)192,527
C6.85(C8:C22) = C4:C4.230D6φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.85(C8:C2^2)192,529
C6.86(C8:C22) = D4.3Dic6φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.86(C8:C2^2)192,568
C6.87(C8:C22) = D4.1D12φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.87(C8:C2^2)192,575
C6.88(C8:C22) = C42.51D6φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.88(C8:C2^2)192,577
C6.89(C8:C22) = C6.Q16:C2φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.89(C8:C2^2)192,594
C6.90(C8:C22) = D12:17D4φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.90(C8:C2^2)192,596
C6.91(C8:C22) = C4:D4:S3φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.91(C8:C2^2)192,598
C6.92(C8:C22) = C3:C8:5D4φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.92(C8:C2^2)192,601
C6.93(C8:C22) = C42.72D6φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.93(C8:C2^2)192,630
C6.94(C8:C22) = C12:2D8φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.94(C8:C2^2)192,631
C6.95(C8:C22) = C42.74D6φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.95(C8:C2^2)192,633
C6.96(C8:C22) = Dic6:9D4φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.96(C8:C2^2)192,634
C6.97(C8:C22) = C42.76D6φ: C8:C22/C2xD4 → C2 ⊆ Aut C6192C6.97(C8:C2^2)192,640
C6.98(C8:C22) = D12:5Q8φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.98(C8:C2^2)192,643
C6.99(C8:C22) = C42.82D6φ: C8:C22/C2xD4 → C2 ⊆ Aut C696C6.99(C8:C2^2)192,648
C6.100(C8:C22) = Dic6:5Q8φ: C8:C22/C2xD4 → C2 ⊆ Aut C6192C6.100(C8:C2^2)192,650
C6.101(C8:C22) = (C6xD4):6C4φ: C8:C22/C2xD4 → C2 ⊆ Aut C648C6.101(C8:C2^2)192,774
C6.102(C8:C22) = (C2xC6):8D8φ: C8:C22/C2xD4 → C2 ⊆ Aut C648C6.102(C8:C2^2)192,776
C6.103(C8:C22) = (C3xD4).31D4φ: C8:C22/C2xD4 → C2 ⊆ Aut C648C6.103(C8:C2^2)192,777
C6.104(C8:C22) = C4:C4.232D6φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.104(C8:C2^2)192,554
C6.105(C8:C22) = C4:C4:36D6φ: C8:C22/C4oD4 → C2 ⊆ Aut C648C6.105(C8:C2^2)192,560
C6.106(C8:C22) = C4:C4.236D6φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.106(C8:C2^2)192,562
C6.107(C8:C22) = C12.38SD16φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.107(C8:C2^2)192,567
C6.108(C8:C22) = C42.48D6φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.108(C8:C2^2)192,573
C6.109(C8:C22) = C12:7D8φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.109(C8:C2^2)192,574
C6.110(C8:C22) = Q8:5Dic6φ: C8:C22/C4oD4 → C2 ⊆ Aut C6192C6.110(C8:C2^2)192,580
C6.111(C8:C22) = C42.56D6φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.111(C8:C2^2)192,585
C6.112(C8:C22) = Q8:2D12φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.112(C8:C2^2)192,586
C6.113(C8:C22) = C4:D4.S3φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.113(C8:C2^2)192,593
C6.114(C8:C22) = D12:16D4φ: C8:C22/C4oD4 → C2 ⊆ Aut C648C6.114(C8:C2^2)192,595
C6.115(C8:C22) = (C2xC6).Q16φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.115(C8:C2^2)192,603
C6.116(C8:C22) = D12.36D4φ: C8:C22/C4oD4 → C2 ⊆ Aut C648C6.116(C8:C2^2)192,605
C6.117(C8:C22) = C3:C8:6D4φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.117(C8:C2^2)192,608
C6.118(C8:C22) = C42.62D6φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.118(C8:C2^2)192,614
C6.119(C8:C22) = D12.23D4φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.119(C8:C2^2)192,616
C6.120(C8:C22) = C42.64D6φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.120(C8:C2^2)192,617
C6.121(C8:C22) = C42.68D6φ: C8:C22/C4oD4 → C2 ⊆ Aut C6192C6.121(C8:C2^2)192,623
C6.122(C8:C22) = D12.4Q8φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.122(C8:C2^2)192,625
C6.123(C8:C22) = C42.70D6φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.123(C8:C2^2)192,626
C6.124(C8:C22) = C4oD4:3Dic3φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.124(C8:C2^2)192,791
C6.125(C8:C22) = (C3xD4):14D4φ: C8:C22/C4oD4 → C2 ⊆ Aut C696C6.125(C8:C2^2)192,797
C6.126(C8:C22) = C3xC23.36D4central extension (φ=1)96C6.126(C8:C2^2)192,850
C6.127(C8:C22) = C3xC23.37D4central extension (φ=1)48C6.127(C8:C2^2)192,851
C6.128(C8:C22) = C3xM4(2):C4central extension (φ=1)96C6.128(C8:C2^2)192,861
C6.129(C8:C22) = C3xSD16:C4central extension (φ=1)96C6.129(C8:C2^2)192,873
C6.130(C8:C22) = C3xD8:C4central extension (φ=1)96C6.130(C8:C2^2)192,875
C6.131(C8:C22) = C3xC22:D8central extension (φ=1)48C6.131(C8:C2^2)192,880
C6.132(C8:C22) = C3xD4:D4central extension (φ=1)96C6.132(C8:C2^2)192,882
C6.133(C8:C22) = C3xC22:SD16central extension (φ=1)48C6.133(C8:C2^2)192,883
C6.134(C8:C22) = C3xC4:D8central extension (φ=1)96C6.134(C8:C2^2)192,892
C6.135(C8:C22) = C3xC4:SD16central extension (φ=1)96C6.135(C8:C2^2)192,893
C6.136(C8:C22) = C3xD4.2D4central extension (φ=1)96C6.136(C8:C2^2)192,896
C6.137(C8:C22) = C3xC8:D4central extension (φ=1)96C6.137(C8:C2^2)192,901
C6.138(C8:C22) = C3xC8:2D4central extension (φ=1)96C6.138(C8:C2^2)192,902
C6.139(C8:C22) = C3xD4:2Q8central extension (φ=1)96C6.139(C8:C2^2)192,909
C6.140(C8:C22) = C3xC4.Q16central extension (φ=1)192C6.140(C8:C2^2)192,910
C6.141(C8:C22) = C3xD4.Q8central extension (φ=1)96C6.141(C8:C2^2)192,911
C6.142(C8:C22) = C3xC23.46D4central extension (φ=1)96C6.142(C8:C2^2)192,914
C6.143(C8:C22) = C3xC23.19D4central extension (φ=1)96C6.143(C8:C2^2)192,915
C6.144(C8:C22) = C3xC23.48D4central extension (φ=1)96C6.144(C8:C2^2)192,917
C6.145(C8:C22) = C3xC42.28C22central extension (φ=1)96C6.145(C8:C2^2)192,922
C6.146(C8:C22) = C3xC42.29C22central extension (φ=1)96C6.146(C8:C2^2)192,923
C6.147(C8:C22) = C3xC8:3D4central extension (φ=1)96C6.147(C8:C2^2)192,929
C6.148(C8:C22) = C3xC8:Q8central extension (φ=1)192C6.148(C8:C2^2)192,934

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