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Extensions 1→N→G→Q→1 with N=C6 and Q=C22×Q8

Direct product G=N×Q with N=C6 and Q=C22×Q8
dρLabelID
Q8×C22×C6192Q8xC2^2xC6192,1532

Semidirect products G=N:Q with N=C6 and Q=C22×Q8
extensionφ:Q→Aut NdρLabelID
C6⋊1(C22×Q8) = C23×Dic6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6:1(C2^2xQ8)192,1510
C6⋊2(C22×Q8) = C22×S3×Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6:2(C2^2xQ8)192,1517

Non-split extensions G=N.Q with N=C6 and Q=C22×Q8
extensionφ:Q→Aut NdρLabelID
C6.1(C22×Q8) = C2×C4×Dic6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6.1(C2^2xQ8)192,1026
C6.2(C22×Q8) = C2×C12⋊2Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6.2(C2^2xQ8)192,1027
C6.3(C22×Q8) = C2×C12.6Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6.3(C2^2xQ8)192,1028
C6.4(C22×Q8) = C42.274D6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C696C6.4(C2^2xQ8)192,1029
C6.5(C22×Q8) = C2×Dic3.D4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C696C6.5(C2^2xQ8)192,1040
C6.6(C22×Q8) = C23⋊3Dic6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C648C6.6(C2^2xQ8)192,1042
C6.7(C22×Q8) = C2×C12⋊Q8φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6.7(C2^2xQ8)192,1056
C6.8(C22×Q8) = C2×C4.Dic6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6.8(C2^2xQ8)192,1058
C6.9(C22×Q8) = C6.72+ 1+4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C696C6.9(C2^2xQ8)192,1059
C6.10(C22×Q8) = C42.88D6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C696C6.10(C2^2xQ8)192,1076
C6.11(C22×Q8) = C42.90D6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C696C6.11(C2^2xQ8)192,1078
C6.12(C22×Q8) = D4×Dic6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C696C6.12(C2^2xQ8)192,1096
C6.13(C22×Q8) = D4⋊5Dic6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C696C6.13(C2^2xQ8)192,1098
C6.14(C22×Q8) = D4⋊6Dic6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C696C6.14(C2^2xQ8)192,1102
C6.15(C22×Q8) = Q8×Dic6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6.15(C2^2xQ8)192,1125
C6.16(C22×Q8) = Q8⋊6Dic6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6.16(C2^2xQ8)192,1128
C6.17(C22×Q8) = Q8⋊7Dic6φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6.17(C2^2xQ8)192,1129
C6.18(C22×Q8) = C22×Dic3⋊C4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6.18(C2^2xQ8)192,1342
C6.19(C22×Q8) = C2×C12.48D4φ: C22×Q8/C22×C4 → C2 ⊆ Aut C696C6.19(C2^2xQ8)192,1343
C6.20(C22×Q8) = C22×C4⋊Dic3φ: C22×Q8/C22×C4 → C2 ⊆ Aut C6192C6.20(C2^2xQ8)192,1344
C6.21(C22×Q8) = C2×Dic6⋊C4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.21(C2^2xQ8)192,1055
C6.22(C22×Q8) = C2×Dic3.Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.22(C2^2xQ8)192,1057
C6.23(C22×Q8) = C2×S3×C4⋊C4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.23(C2^2xQ8)192,1060
C6.24(C22×Q8) = C2×D6⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.24(C2^2xQ8)192,1067
C6.25(C22×Q8) = C2×C4.D12φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.25(C2^2xQ8)192,1068
C6.26(C22×Q8) = C6.102+ 1+4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.26(C2^2xQ8)192,1070
C6.27(C22×Q8) = Dic6⋊10Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.27(C2^2xQ8)192,1126
C6.28(C22×Q8) = C4×S3×Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.28(C2^2xQ8)192,1130
C6.29(C22×Q8) = Q8×D12φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.29(C2^2xQ8)192,1134
C6.30(C22×Q8) = C42.232D6φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.30(C2^2xQ8)192,1137
C6.31(C22×Q8) = D12⋊10Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.31(C2^2xQ8)192,1138
C6.32(C22×Q8) = (Q8×Dic3)⋊C2φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.32(C2^2xQ8)192,1181
C6.33(C22×Q8) = C6.752- 1+4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.33(C2^2xQ8)192,1182
C6.34(C22×Q8) = S3×C22⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C648C6.34(C2^2xQ8)192,1185
C6.35(C22×Q8) = Dic6⋊21D4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.35(C2^2xQ8)192,1191
C6.36(C22×Q8) = C6.512+ 1+4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C648C6.36(C2^2xQ8)192,1193
C6.37(C22×Q8) = C6.1182+ 1+4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.37(C2^2xQ8)192,1194
C6.38(C22×Q8) = C6.522+ 1+4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.38(C2^2xQ8)192,1195
C6.39(C22×Q8) = Dic6⋊7Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.39(C2^2xQ8)192,1244
C6.40(C22×Q8) = S3×C42.C2φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.40(C2^2xQ8)192,1246
C6.41(C22×Q8) = C42.236D6φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.41(C2^2xQ8)192,1247
C6.42(C22×Q8) = C42.148D6φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.42(C2^2xQ8)192,1248
C6.43(C22×Q8) = D12⋊7Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.43(C2^2xQ8)192,1249
C6.44(C22×Q8) = Dic6⋊8Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.44(C2^2xQ8)192,1280
C6.45(C22×Q8) = Dic6⋊9Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.45(C2^2xQ8)192,1281
C6.46(C22×Q8) = S3×C4⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.46(C2^2xQ8)192,1282
C6.47(C22×Q8) = D12⋊8Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.47(C2^2xQ8)192,1286
C6.48(C22×Q8) = C42.241D6φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.48(C2^2xQ8)192,1287
C6.49(C22×Q8) = C42.174D6φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.49(C2^2xQ8)192,1288
C6.50(C22×Q8) = D12⋊9Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.50(C2^2xQ8)192,1289
C6.51(C22×Q8) = C2×Dic3⋊Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.51(C2^2xQ8)192,1369
C6.52(C22×Q8) = C2×Q8×Dic3φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C6192C6.52(C2^2xQ8)192,1370
C6.53(C22×Q8) = C2×D6⋊3Q8φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.53(C2^2xQ8)192,1372
C6.54(C22×Q8) = Q8×C3⋊D4φ: C22×Q8/C2×Q8 → C2 ⊆ Aut C696C6.54(C2^2xQ8)192,1374
C6.55(C22×Q8) = C2×C6×C4⋊C4central extension (φ=1)192C6.55(C2^2xQ8)192,1402
C6.56(C22×Q8) = Q8×C2×C12central extension (φ=1)192C6.56(C2^2xQ8)192,1405
C6.57(C22×Q8) = C6×C22⋊Q8central extension (φ=1)96C6.57(C2^2xQ8)192,1412
C6.58(C22×Q8) = C6×C42.C2central extension (φ=1)192C6.58(C2^2xQ8)192,1416
C6.59(C22×Q8) = C6×C4⋊Q8central extension (φ=1)192C6.59(C2^2xQ8)192,1420
C6.60(C22×Q8) = C3×C23.37C23central extension (φ=1)96C6.60(C2^2xQ8)192,1422
C6.61(C22×Q8) = C3×C23⋊2Q8central extension (φ=1)48C6.61(C2^2xQ8)192,1432
C6.62(C22×Q8) = C3×C23.41C23central extension (φ=1)96C6.62(C2^2xQ8)192,1433
C6.63(C22×Q8) = C3×D4×Q8central extension (φ=1)96C6.63(C2^2xQ8)192,1438
C6.64(C22×Q8) = C3×D4⋊3Q8central extension (φ=1)96C6.64(C2^2xQ8)192,1443
C6.65(C22×Q8) = C3×Q8⋊3Q8central extension (φ=1)192C6.65(C2^2xQ8)192,1446
C6.66(C22×Q8) = C3×Q82central extension (φ=1)192C6.66(C2^2xQ8)192,1447

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