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Extensions 1→N→G→Q→1 with N=C8 and Q=C22xS3

Direct product G=NxQ with N=C8 and Q=C22xS3
dρLabelID
S3xC22xC896S3xC2^2xC8192,1295

Semidirect products G=N:Q with N=C8 and Q=C22xS3
extensionφ:Q→Aut NdρLabelID
C8:1(C22xS3) = S3xC8:C22φ: C22xS3/S3 → C22 ⊆ Aut C8248+C8:1(C2^2xS3)192,1331
C8:2(C22xS3) = C2xC8:D6φ: C22xS3/C6 → C22 ⊆ Aut C848C8:2(C2^2xS3)192,1305
C8:3(C22xS3) = C2xD8:S3φ: C22xS3/C6 → C22 ⊆ Aut C848C8:3(C2^2xS3)192,1314
C8:4(C22xS3) = C2xQ8:3D6φ: C22xS3/C6 → C22 ⊆ Aut C848C8:4(C2^2xS3)192,1318
C8:5(C22xS3) = C2xS3xD8φ: C22xS3/D6 → C2 ⊆ Aut C848C8:5(C2^2xS3)192,1313
C8:6(C22xS3) = C2xS3xSD16φ: C22xS3/D6 → C2 ⊆ Aut C848C8:6(C2^2xS3)192,1317
C8:7(C22xS3) = C2xS3xM4(2)φ: C22xS3/D6 → C2 ⊆ Aut C848C8:7(C2^2xS3)192,1302
C8:8(C22xS3) = C22xD24φ: C22xS3/C2xC6 → C2 ⊆ Aut C896C8:8(C2^2xS3)192,1299
C8:9(C22xS3) = C22xC24:C2φ: C22xS3/C2xC6 → C2 ⊆ Aut C896C8:9(C2^2xS3)192,1298
C8:10(C22xS3) = C22xC8:S3φ: C22xS3/C2xC6 → C2 ⊆ Aut C896C8:10(C2^2xS3)192,1296

Non-split extensions G=N.Q with N=C8 and Q=C22xS3
extensionφ:Q→Aut NdρLabelID
C8.1(C22xS3) = D8:4D6φ: C22xS3/S3 → C22 ⊆ Aut C8488-C8.1(C2^2xS3)192,1332
C8.2(C22xS3) = D8:5D6φ: C22xS3/S3 → C22 ⊆ Aut C8488+C8.2(C2^2xS3)192,1333
C8.3(C22xS3) = D8:6D6φ: C22xS3/S3 → C22 ⊆ Aut C8488-C8.3(C2^2xS3)192,1334
C8.4(C22xS3) = S3xC8.C22φ: C22xS3/S3 → C22 ⊆ Aut C8488-C8.4(C2^2xS3)192,1335
C8.5(C22xS3) = D24:C22φ: C22xS3/S3 → C22 ⊆ Aut C8488+C8.5(C2^2xS3)192,1336
C8.6(C22xS3) = C24.C23φ: C22xS3/S3 → C22 ⊆ Aut C8488+C8.6(C2^2xS3)192,1337
C8.7(C22xS3) = SD16.D6φ: C22xS3/S3 → C22 ⊆ Aut C8968-C8.7(C2^2xS3)192,1338
C8.8(C22xS3) = C2xC8.D6φ: C22xS3/C6 → C22 ⊆ Aut C896C8.8(C2^2xS3)192,1306
C8.9(C22xS3) = C24.9C23φ: C22xS3/C6 → C22 ⊆ Aut C8484C8.9(C2^2xS3)192,1307
C8.10(C22xS3) = D8:13D6φ: C22xS3/C6 → C22 ⊆ Aut C8484C8.10(C2^2xS3)192,1316
C8.11(C22xS3) = C2xD4.D6φ: C22xS3/C6 → C22 ⊆ Aut C896C8.11(C2^2xS3)192,1319
C8.12(C22xS3) = SD16:13D6φ: C22xS3/C6 → C22 ⊆ Aut C8484C8.12(C2^2xS3)192,1321
C8.13(C22xS3) = C2xQ16:S3φ: C22xS3/C6 → C22 ⊆ Aut C896C8.13(C2^2xS3)192,1323
C8.14(C22xS3) = D12.30D4φ: C22xS3/C6 → C22 ⊆ Aut C8964C8.14(C2^2xS3)192,1325
C8.15(C22xS3) = SD16:D6φ: C22xS3/C6 → C22 ⊆ Aut C8484C8.15(C2^2xS3)192,1327
C8.16(C22xS3) = D8:15D6φ: C22xS3/C6 → C22 ⊆ Aut C8484+C8.16(C2^2xS3)192,1328
C8.17(C22xS3) = D8:11D6φ: C22xS3/C6 → C22 ⊆ Aut C8484C8.17(C2^2xS3)192,1329
C8.18(C22xS3) = D8.10D6φ: C22xS3/C6 → C22 ⊆ Aut C8964-C8.18(C2^2xS3)192,1330
C8.19(C22xS3) = S3xD16φ: C22xS3/D6 → C2 ⊆ Aut C8484+C8.19(C2^2xS3)192,469
C8.20(C22xS3) = D8:D6φ: C22xS3/D6 → C2 ⊆ Aut C8484C8.20(C2^2xS3)192,470
C8.21(C22xS3) = D16:3S3φ: C22xS3/D6 → C2 ⊆ Aut C8964-C8.21(C2^2xS3)192,471
C8.22(C22xS3) = S3xSD32φ: C22xS3/D6 → C2 ⊆ Aut C8484C8.22(C2^2xS3)192,472
C8.23(C22xS3) = D48:C2φ: C22xS3/D6 → C2 ⊆ Aut C8484+C8.23(C2^2xS3)192,473
C8.24(C22xS3) = SD32:S3φ: C22xS3/D6 → C2 ⊆ Aut C8964-C8.24(C2^2xS3)192,474
C8.25(C22xS3) = D6.2D8φ: C22xS3/D6 → C2 ⊆ Aut C8964C8.25(C2^2xS3)192,475
C8.26(C22xS3) = S3xQ32φ: C22xS3/D6 → C2 ⊆ Aut C8964-C8.26(C2^2xS3)192,476
C8.27(C22xS3) = Q32:S3φ: C22xS3/D6 → C2 ⊆ Aut C8964C8.27(C2^2xS3)192,477
C8.28(C22xS3) = D48:5C2φ: C22xS3/D6 → C2 ⊆ Aut C8964+C8.28(C2^2xS3)192,478
C8.29(C22xS3) = C2xC3:D16φ: C22xS3/D6 → C2 ⊆ Aut C896C8.29(C2^2xS3)192,705
C8.30(C22xS3) = D8.D6φ: C22xS3/D6 → C2 ⊆ Aut C8484C8.30(C2^2xS3)192,706
C8.31(C22xS3) = C2xD8.S3φ: C22xS3/D6 → C2 ⊆ Aut C896C8.31(C2^2xS3)192,707
C8.32(C22xS3) = C2xC8.6D6φ: C22xS3/D6 → C2 ⊆ Aut C896C8.32(C2^2xS3)192,737
C8.33(C22xS3) = C24.27C23φ: C22xS3/D6 → C2 ⊆ Aut C8964C8.33(C2^2xS3)192,738
C8.34(C22xS3) = C2xC3:Q32φ: C22xS3/D6 → C2 ⊆ Aut C8192C8.34(C2^2xS3)192,739
C8.35(C22xS3) = Q16:D6φ: C22xS3/D6 → C2 ⊆ Aut C8484+C8.35(C2^2xS3)192,752
C8.36(C22xS3) = Q16.D6φ: C22xS3/D6 → C2 ⊆ Aut C8964C8.36(C2^2xS3)192,753
C8.37(C22xS3) = D8.9D6φ: C22xS3/D6 → C2 ⊆ Aut C8964-C8.37(C2^2xS3)192,754
C8.38(C22xS3) = C2xD8:3S3φ: C22xS3/D6 → C2 ⊆ Aut C896C8.38(C2^2xS3)192,1315
C8.39(C22xS3) = C2xS3xQ16φ: C22xS3/D6 → C2 ⊆ Aut C896C8.39(C2^2xS3)192,1322
C8.40(C22xS3) = C2xD24:C2φ: C22xS3/D6 → C2 ⊆ Aut C896C8.40(C2^2xS3)192,1324
C8.41(C22xS3) = C2xQ8.7D6φ: C22xS3/D6 → C2 ⊆ Aut C896C8.41(C2^2xS3)192,1320
C8.42(C22xS3) = S3xC4oD8φ: C22xS3/D6 → C2 ⊆ Aut C8484C8.42(C2^2xS3)192,1326
C8.43(C22xS3) = C2xD12.C4φ: C22xS3/D6 → C2 ⊆ Aut C896C8.43(C2^2xS3)192,1303
C8.44(C22xS3) = M4(2):26D6φ: C22xS3/D6 → C2 ⊆ Aut C8484C8.44(C2^2xS3)192,1304
C8.45(C22xS3) = C2xD48φ: C22xS3/C2xC6 → C2 ⊆ Aut C896C8.45(C2^2xS3)192,461
C8.46(C22xS3) = C2xC48:C2φ: C22xS3/C2xC6 → C2 ⊆ Aut C896C8.46(C2^2xS3)192,462
C8.47(C22xS3) = D48:7C2φ: C22xS3/C2xC6 → C2 ⊆ Aut C8962C8.47(C2^2xS3)192,463
C8.48(C22xS3) = C2xDic24φ: C22xS3/C2xC6 → C2 ⊆ Aut C8192C8.48(C2^2xS3)192,464
C8.49(C22xS3) = C16:D6φ: C22xS3/C2xC6 → C2 ⊆ Aut C8484+C8.49(C2^2xS3)192,467
C8.50(C22xS3) = C16.D6φ: C22xS3/C2xC6 → C2 ⊆ Aut C8964-C8.50(C2^2xS3)192,468
C8.51(C22xS3) = C2xC4oD24φ: C22xS3/C2xC6 → C2 ⊆ Aut C896C8.51(C2^2xS3)192,1300
C8.52(C22xS3) = C22xDic12φ: C22xS3/C2xC6 → C2 ⊆ Aut C8192C8.52(C2^2xS3)192,1301
C8.53(C22xS3) = D4.12D12φ: C22xS3/C2xC6 → C2 ⊆ Aut C8484+C8.53(C2^2xS3)192,1311
C8.54(C22xS3) = D4.13D12φ: C22xS3/C2xC6 → C2 ⊆ Aut C8964-C8.54(C2^2xS3)192,1312
C8.55(C22xS3) = D4.11D12φ: C22xS3/C2xC6 → C2 ⊆ Aut C8484C8.55(C2^2xS3)192,1310
C8.56(C22xS3) = M4(2):28D6φ: C22xS3/C2xC6 → C2 ⊆ Aut C8484C8.56(C2^2xS3)192,1309
C8.57(C22xS3) = S3xC2xC16central extension (φ=1)96C8.57(C2^2xS3)192,458
C8.58(C22xS3) = C2xD6.C8central extension (φ=1)96C8.58(C2^2xS3)192,459
C8.59(C22xS3) = D12.4C8central extension (φ=1)962C8.59(C2^2xS3)192,460
C8.60(C22xS3) = S3xM5(2)central extension (φ=1)484C8.60(C2^2xS3)192,465
C8.61(C22xS3) = C16.12D6central extension (φ=1)964C8.61(C2^2xS3)192,466
C8.62(C22xS3) = C22xC3:C16central extension (φ=1)192C8.62(C2^2xS3)192,655
C8.63(C22xS3) = C2xC12.C8central extension (φ=1)96C8.63(C2^2xS3)192,656
C8.64(C22xS3) = C24.78C23central extension (φ=1)964C8.64(C2^2xS3)192,699
C8.65(C22xS3) = C2xC8oD12central extension (φ=1)96C8.65(C2^2xS3)192,1297
C8.66(C22xS3) = S3xC8oD4central extension (φ=1)484C8.66(C2^2xS3)192,1308

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