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

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

Semidirect products G=N:Q with N=C6 and Q=C8⋊C22
extensionφ:Q→Aut NdρLabelID
C61(C8⋊C22) = C2×C8⋊D6φ: C8⋊C22/M4(2)C2 ⊆ Aut C648C6:1(C8:C2^2)192,1305
C62(C8⋊C22) = C2×D8⋊S3φ: C8⋊C22/D8C2 ⊆ Aut C648C6:2(C8:C2^2)192,1314
C63(C8⋊C22) = C2×Q83D6φ: C8⋊C22/SD16C2 ⊆ Aut C648C6:3(C8:C2^2)192,1318
C64(C8⋊C22) = C2×D126C22φ: C8⋊C22/C2×D4C2 ⊆ Aut C648C6:4(C8:C2^2)192,1352
C65(C8⋊C22) = C2×D4⋊D6φ: C8⋊C22/C4○D4C2 ⊆ 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) = D1213D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C648C6.9(C8:C2^2)192,291
C6.10(C8⋊C22) = D1214D4φ: 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) = D123Q8φ: 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) = Dic68D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C696C6.17(C8:C2^2)192,407
C6.18(C8⋊C22) = Dic63Q8φ: 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) = C242D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C696C6.22(C8:C2^2)192,693
C6.23(C8⋊C22) = C243D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C696C6.23(C8:C2^2)192,694
C6.24(C8⋊C22) = D4.S3⋊C4φ: C8⋊C22/D8C2 ⊆ Aut C696C6.24(C8:C2^2)192,316
C6.25(C8⋊C22) = D4⋊Dic6φ: C8⋊C22/D8C2 ⊆ Aut C696C6.25(C8:C2^2)192,320
C6.26(C8⋊C22) = Dic62D4φ: C8⋊C22/D8C2 ⊆ Aut C696C6.26(C8:C2^2)192,321
C6.27(C8⋊C22) = D4.Dic6φ: C8⋊C22/D8C2 ⊆ Aut C696C6.27(C8:C2^2)192,322
C6.28(C8⋊C22) = C12⋊Q8⋊C2φ: C8⋊C22/D8C2 ⊆ Aut C696C6.28(C8:C2^2)192,324
C6.29(C8⋊C22) = C4⋊C419D6φ: C8⋊C22/D8C2 ⊆ Aut C648C6.29(C8:C2^2)192,329
C6.30(C8⋊C22) = D4⋊(C4×S3)φ: C8⋊C22/D8C2 ⊆ Aut C696C6.30(C8:C2^2)192,330
C6.31(C8⋊C22) = D65SD16φ: C8⋊C22/D8C2 ⊆ Aut C648C6.31(C8:C2^2)192,335
C6.32(C8⋊C22) = D6.SD16φ: C8⋊C22/D8C2 ⊆ Aut C696C6.32(C8:C2^2)192,336
C6.33(C8⋊C22) = D6⋊C811C2φ: C8⋊C22/D8C2 ⊆ Aut C696C6.33(C8:C2^2)192,338
C6.34(C8⋊C22) = C3⋊C81D4φ: C8⋊C22/D8C2 ⊆ Aut C696C6.34(C8:C2^2)192,339
C6.35(C8⋊C22) = D43D12φ: C8⋊C22/D8C2 ⊆ Aut C696C6.35(C8:C2^2)192,340
C6.36(C8⋊C22) = C3⋊C8⋊D4φ: C8⋊C22/D8C2 ⊆ Aut C696C6.36(C8:C2^2)192,341
C6.37(C8⋊C22) = D12.D4φ: C8⋊C22/D8C2 ⊆ Aut C696C6.37(C8:C2^2)192,346
C6.38(C8⋊C22) = Dic3.Q16φ: C8⋊C22/D8C2 ⊆ Aut C6192C6.38(C8:C2^2)192,434
C6.39(C8⋊C22) = C244Q8φ: C8⋊C22/D8C2 ⊆ Aut C6192C6.39(C8:C2^2)192,435
C6.40(C8⋊C22) = C8⋊S3⋊C4φ: C8⋊C22/D8C2 ⊆ Aut C696C6.40(C8:C2^2)192,440
C6.41(C8⋊C22) = D6.2Q16φ: C8⋊C22/D8C2 ⊆ Aut C696C6.41(C8:C2^2)192,443
C6.42(C8⋊C22) = C2.D8⋊S3φ: C8⋊C22/D8C2 ⊆ Aut C696C6.42(C8:C2^2)192,444
C6.43(C8⋊C22) = C83D12φ: C8⋊C22/D8C2 ⊆ Aut C696C6.43(C8:C2^2)192,445
C6.44(C8⋊C22) = C24⋊C2⋊C4φ: C8⋊C22/D8C2 ⊆ Aut C696C6.44(C8:C2^2)192,448
C6.45(C8⋊C22) = D12.2Q8φ: C8⋊C22/D8C2 ⊆ Aut C696C6.45(C8:C2^2)192,450
C6.46(C8⋊C22) = Dic3⋊D8φ: C8⋊C22/D8C2 ⊆ Aut C696C6.46(C8:C2^2)192,709
C6.47(C8⋊C22) = D8⋊Dic3φ: C8⋊C22/D8C2 ⊆ Aut C696C6.47(C8:C2^2)192,711
C6.48(C8⋊C22) = (C6×D8).C2φ: C8⋊C22/D8C2 ⊆ Aut C696C6.48(C8:C2^2)192,712
C6.49(C8⋊C22) = C2411D4φ: C8⋊C22/D8C2 ⊆ Aut C696C6.49(C8:C2^2)192,713
C6.50(C8⋊C22) = D12⋊D4φ: C8⋊C22/D8C2 ⊆ Aut C648C6.50(C8:C2^2)192,715
C6.51(C8⋊C22) = Dic6⋊D4φ: C8⋊C22/D8C2 ⊆ Aut C696C6.51(C8:C2^2)192,717
C6.52(C8⋊C22) = C2412D4φ: C8⋊C22/D8C2 ⊆ Aut C696C6.52(C8:C2^2)192,718
C6.53(C8⋊C22) = C4⋊C4.D6φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.53(C8:C2^2)192,323
C6.54(C8⋊C22) = D4.2Dic6φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.54(C8:C2^2)192,325
C6.55(C8⋊C22) = D4⋊D12φ: C8⋊C22/SD16C2 ⊆ Aut C648C6.55(C8:C2^2)192,332
C6.56(C8⋊C22) = C241C4⋊C2φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.56(C8:C2^2)192,343
C6.57(C8⋊C22) = D4⋊S3⋊C4φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.57(C8:C2^2)192,344
C6.58(C8⋊C22) = D123D4φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.58(C8:C2^2)192,345
C6.59(C8⋊C22) = Q83Dic6φ: C8⋊C22/SD16C2 ⊆ Aut C6192C6.59(C8:C2^2)192,352
C6.60(C8⋊C22) = (C2×C8).D6φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.60(C8:C2^2)192,353
C6.61(C8⋊C22) = Q87(C4×S3)φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.61(C8:C2^2)192,362
C6.62(C8⋊C22) = Q84D12φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.62(C8:C2^2)192,369
C6.63(C8⋊C22) = D6.Q16φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.63(C8:C2^2)192,370
C6.64(C8⋊C22) = C3⋊(C8⋊D4)φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.64(C8:C2^2)192,371
C6.65(C8⋊C22) = Q83(C4×S3)φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.65(C8:C2^2)192,376
C6.66(C8⋊C22) = D12.12D4φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.66(C8:C2^2)192,378
C6.67(C8⋊C22) = C243Q8φ: C8⋊C22/SD16C2 ⊆ Aut C6192C6.67(C8:C2^2)192,415
C6.68(C8⋊C22) = C8⋊(C4×S3)φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.68(C8:C2^2)192,420
C6.69(C8⋊C22) = D6.4SD16φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.69(C8:C2^2)192,422
C6.70(C8⋊C22) = C247D4φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.70(C8:C2^2)192,424
C6.71(C8⋊C22) = C4.Q8⋊S3φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.71(C8:C2^2)192,425
C6.72(C8⋊C22) = D249C4φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.72(C8:C2^2)192,428
C6.73(C8⋊C22) = D12⋊Q8φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.73(C8:C2^2)192,429
C6.74(C8⋊C22) = D12.Q8φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.74(C8:C2^2)192,430
C6.75(C8⋊C22) = Dic35SD16φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.75(C8:C2^2)192,722
C6.76(C8⋊C22) = SD16⋊Dic3φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.76(C8:C2^2)192,723
C6.77(C8⋊C22) = (C3×D4).D4φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.77(C8:C2^2)192,724
C6.78(C8⋊C22) = D66SD16φ: C8⋊C22/SD16C2 ⊆ Aut C648C6.78(C8:C2^2)192,728
C6.79(C8⋊C22) = D127D4φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.79(C8:C2^2)192,731
C6.80(C8⋊C22) = C248D4φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.80(C8:C2^2)192,733
C6.81(C8⋊C22) = C249D4φ: C8⋊C22/SD16C2 ⊆ Aut C696C6.81(C8:C2^2)192,735
C6.82(C8⋊C22) = C4⋊C4.225D6φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.82(C8:C2^2)192,523
C6.83(C8⋊C22) = C4○D12⋊C4φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.83(C8:C2^2)192,525
C6.84(C8⋊C22) = C4⋊C4.228D6φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.84(C8:C2^2)192,527
C6.85(C8⋊C22) = C4⋊C4.230D6φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.85(C8:C2^2)192,529
C6.86(C8⋊C22) = D4.3Dic6φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.86(C8:C2^2)192,568
C6.87(C8⋊C22) = D4.1D12φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.87(C8:C2^2)192,575
C6.88(C8⋊C22) = C42.51D6φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.88(C8:C2^2)192,577
C6.89(C8⋊C22) = C6.Q16⋊C2φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.89(C8:C2^2)192,594
C6.90(C8⋊C22) = D1217D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.90(C8:C2^2)192,596
C6.91(C8⋊C22) = C4⋊D4⋊S3φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.91(C8:C2^2)192,598
C6.92(C8⋊C22) = C3⋊C85D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.92(C8:C2^2)192,601
C6.93(C8⋊C22) = C42.72D6φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.93(C8:C2^2)192,630
C6.94(C8⋊C22) = C122D8φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.94(C8:C2^2)192,631
C6.95(C8⋊C22) = C42.74D6φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.95(C8:C2^2)192,633
C6.96(C8⋊C22) = Dic69D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.96(C8:C2^2)192,634
C6.97(C8⋊C22) = C42.76D6φ: C8⋊C22/C2×D4C2 ⊆ Aut C6192C6.97(C8:C2^2)192,640
C6.98(C8⋊C22) = D125Q8φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.98(C8:C2^2)192,643
C6.99(C8⋊C22) = C42.82D6φ: C8⋊C22/C2×D4C2 ⊆ Aut C696C6.99(C8:C2^2)192,648
C6.100(C8⋊C22) = Dic65Q8φ: C8⋊C22/C2×D4C2 ⊆ Aut C6192C6.100(C8:C2^2)192,650
C6.101(C8⋊C22) = (C6×D4)⋊6C4φ: C8⋊C22/C2×D4C2 ⊆ Aut C648C6.101(C8:C2^2)192,774
C6.102(C8⋊C22) = (C2×C6)⋊8D8φ: C8⋊C22/C2×D4C2 ⊆ Aut C648C6.102(C8:C2^2)192,776
C6.103(C8⋊C22) = (C3×D4).31D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C648C6.103(C8:C2^2)192,777
C6.104(C8⋊C22) = C4⋊C4.232D6φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.104(C8:C2^2)192,554
C6.105(C8⋊C22) = C4⋊C436D6φ: C8⋊C22/C4○D4C2 ⊆ Aut C648C6.105(C8:C2^2)192,560
C6.106(C8⋊C22) = C4⋊C4.236D6φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.106(C8:C2^2)192,562
C6.107(C8⋊C22) = C12.38SD16φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.107(C8:C2^2)192,567
C6.108(C8⋊C22) = C42.48D6φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.108(C8:C2^2)192,573
C6.109(C8⋊C22) = C127D8φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.109(C8:C2^2)192,574
C6.110(C8⋊C22) = Q85Dic6φ: C8⋊C22/C4○D4C2 ⊆ Aut C6192C6.110(C8:C2^2)192,580
C6.111(C8⋊C22) = C42.56D6φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.111(C8:C2^2)192,585
C6.112(C8⋊C22) = Q82D12φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.112(C8:C2^2)192,586
C6.113(C8⋊C22) = C4⋊D4.S3φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.113(C8:C2^2)192,593
C6.114(C8⋊C22) = D1216D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C648C6.114(C8:C2^2)192,595
C6.115(C8⋊C22) = (C2×C6).Q16φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.115(C8:C2^2)192,603
C6.116(C8⋊C22) = D12.36D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C648C6.116(C8:C2^2)192,605
C6.117(C8⋊C22) = C3⋊C86D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.117(C8:C2^2)192,608
C6.118(C8⋊C22) = C42.62D6φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.118(C8:C2^2)192,614
C6.119(C8⋊C22) = D12.23D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.119(C8:C2^2)192,616
C6.120(C8⋊C22) = C42.64D6φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.120(C8:C2^2)192,617
C6.121(C8⋊C22) = C42.68D6φ: C8⋊C22/C4○D4C2 ⊆ Aut C6192C6.121(C8:C2^2)192,623
C6.122(C8⋊C22) = D12.4Q8φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.122(C8:C2^2)192,625
C6.123(C8⋊C22) = C42.70D6φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.123(C8:C2^2)192,626
C6.124(C8⋊C22) = C4○D43Dic3φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.124(C8:C2^2)192,791
C6.125(C8⋊C22) = (C3×D4)⋊14D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C696C6.125(C8:C2^2)192,797
C6.126(C8⋊C22) = C3×C23.36D4central extension (φ=1)96C6.126(C8:C2^2)192,850
C6.127(C8⋊C22) = C3×C23.37D4central extension (φ=1)48C6.127(C8:C2^2)192,851
C6.128(C8⋊C22) = C3×M4(2)⋊C4central extension (φ=1)96C6.128(C8:C2^2)192,861
C6.129(C8⋊C22) = C3×SD16⋊C4central extension (φ=1)96C6.129(C8:C2^2)192,873
C6.130(C8⋊C22) = C3×D8⋊C4central extension (φ=1)96C6.130(C8:C2^2)192,875
C6.131(C8⋊C22) = C3×C22⋊D8central extension (φ=1)48C6.131(C8:C2^2)192,880
C6.132(C8⋊C22) = C3×D4⋊D4central extension (φ=1)96C6.132(C8:C2^2)192,882
C6.133(C8⋊C22) = C3×C22⋊SD16central extension (φ=1)48C6.133(C8:C2^2)192,883
C6.134(C8⋊C22) = C3×C4⋊D8central extension (φ=1)96C6.134(C8:C2^2)192,892
C6.135(C8⋊C22) = C3×C4⋊SD16central extension (φ=1)96C6.135(C8:C2^2)192,893
C6.136(C8⋊C22) = C3×D4.2D4central extension (φ=1)96C6.136(C8:C2^2)192,896
C6.137(C8⋊C22) = C3×C8⋊D4central extension (φ=1)96C6.137(C8:C2^2)192,901
C6.138(C8⋊C22) = C3×C82D4central extension (φ=1)96C6.138(C8:C2^2)192,902
C6.139(C8⋊C22) = C3×D42Q8central extension (φ=1)96C6.139(C8:C2^2)192,909
C6.140(C8⋊C22) = C3×C4.Q16central extension (φ=1)192C6.140(C8:C2^2)192,910
C6.141(C8⋊C22) = C3×D4.Q8central extension (φ=1)96C6.141(C8:C2^2)192,911
C6.142(C8⋊C22) = C3×C23.46D4central extension (φ=1)96C6.142(C8:C2^2)192,914
C6.143(C8⋊C22) = C3×C23.19D4central extension (φ=1)96C6.143(C8:C2^2)192,915
C6.144(C8⋊C22) = C3×C23.48D4central extension (φ=1)96C6.144(C8:C2^2)192,917
C6.145(C8⋊C22) = C3×C42.28C22central extension (φ=1)96C6.145(C8:C2^2)192,922
C6.146(C8⋊C22) = C3×C42.29C22central extension (φ=1)96C6.146(C8:C2^2)192,923
C6.147(C8⋊C22) = C3×C83D4central extension (φ=1)96C6.147(C8:C2^2)192,929
C6.148(C8⋊C22) = C3×C8⋊Q8central extension (φ=1)192C6.148(C8:C2^2)192,934

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