# Extensions 1→N→G→Q→1 with N=D6 and Q=C22×C4

Direct product G=N×Q with N=D6 and Q=C22×C4
dρLabelID
S3×C23×C496S3xC2^3xC4192,1511

Semidirect products G=N:Q with N=D6 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
D61(C22×C4) = C2×C4×D12φ: C22×C4/C2×C4C2 ⊆ Out D696D6:1(C2^2xC4)192,1032
D62(C22×C4) = C2×Dic34D4φ: C22×C4/C2×C4C2 ⊆ Out D696D6:2(C2^2xC4)192,1044
D63(C22×C4) = C2×Dic35D4φ: C22×C4/C2×C4C2 ⊆ Out D696D6:3(C2^2xC4)192,1062
D64(C22×C4) = C4×S3×D4φ: C22×C4/C2×C4C2 ⊆ Out D648D6:4(C2^2xC4)192,1103
D65(C22×C4) = C2×C4×C3⋊D4φ: C22×C4/C2×C4C2 ⊆ Out D696D6:5(C2^2xC4)192,1347
D66(C22×C4) = C2×S3×C22⋊C4φ: C22×C4/C23C2 ⊆ Out D648D6:6(C2^2xC4)192,1043
D67(C22×C4) = C22×D6⋊C4φ: C22×C4/C23C2 ⊆ Out D696D6:7(C2^2xC4)192,1346

Non-split extensions G=N.Q with N=D6 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
D6.1(C22×C4) = C4×C4○D12φ: C22×C4/C2×C4C2 ⊆ Out D696D6.1(C2^2xC4)192,1033
D6.2(C22×C4) = C24.35D6φ: C22×C4/C2×C4C2 ⊆ Out D648D6.2(C2^2xC4)192,1045
D6.3(C22×C4) = C6.82+ 1+4φ: C22×C4/C2×C4C2 ⊆ Out D696D6.3(C2^2xC4)192,1063
D6.4(C22×C4) = C429D6φ: C22×C4/C2×C4C2 ⊆ Out D648D6.4(C2^2xC4)192,1080
D6.5(C22×C4) = C42.188D6φ: C22×C4/C2×C4C2 ⊆ Out D696D6.5(C2^2xC4)192,1081
D6.6(C22×C4) = C42.91D6φ: C22×C4/C2×C4C2 ⊆ Out D696D6.6(C2^2xC4)192,1082
D6.7(C22×C4) = C4×D42S3φ: C22×C4/C2×C4C2 ⊆ Out D696D6.7(C2^2xC4)192,1095
D6.8(C22×C4) = C4213D6φ: C22×C4/C2×C4C2 ⊆ Out D648D6.8(C2^2xC4)192,1104
D6.9(C22×C4) = C42.108D6φ: C22×C4/C2×C4C2 ⊆ Out D696D6.9(C2^2xC4)192,1105
D6.10(C22×C4) = C4×Q83S3φ: C22×C4/C2×C4C2 ⊆ Out D696D6.10(C2^2xC4)192,1132
D6.11(C22×C4) = C42.126D6φ: C22×C4/C2×C4C2 ⊆ Out D696D6.11(C2^2xC4)192,1133
D6.12(C22×C4) = C2×C8○D12φ: C22×C4/C2×C4C2 ⊆ Out D696D6.12(C2^2xC4)192,1297
D6.13(C22×C4) = C2×D12.C4φ: C22×C4/C2×C4C2 ⊆ Out D696D6.13(C2^2xC4)192,1303
D6.14(C22×C4) = M4(2)⋊26D6φ: C22×C4/C2×C4C2 ⊆ Out D6484D6.14(C2^2xC4)192,1304
D6.15(C22×C4) = S3×C8○D4φ: C22×C4/C2×C4C2 ⊆ Out D6484D6.15(C2^2xC4)192,1308
D6.16(C22×C4) = M4(2)⋊28D6φ: C22×C4/C2×C4C2 ⊆ Out D6484D6.16(C2^2xC4)192,1309
D6.17(C22×C4) = C2×C422S3φ: C22×C4/C23C2 ⊆ Out D696D6.17(C2^2xC4)192,1031
D6.18(C22×C4) = C2×C4⋊C47S3φ: C22×C4/C23C2 ⊆ Out D696D6.18(C2^2xC4)192,1061
D6.19(C22×C4) = C42.125D6φ: C22×C4/C23C2 ⊆ Out D696D6.19(C2^2xC4)192,1131
D6.20(C22×C4) = C22×C8⋊S3φ: C22×C4/C23C2 ⊆ Out D696D6.20(C2^2xC4)192,1296
D6.21(C22×C4) = S3×C2×C42φ: trivial image96D6.21(C2^2xC4)192,1030
D6.22(C22×C4) = C2×S3×C4⋊C4φ: trivial image96D6.22(C2^2xC4)192,1060
D6.23(C22×C4) = S3×C42⋊C2φ: trivial image48D6.23(C2^2xC4)192,1079
D6.24(C22×C4) = C4×S3×Q8φ: trivial image96D6.24(C2^2xC4)192,1130
D6.25(C22×C4) = S3×C22×C8φ: trivial image96D6.25(C2^2xC4)192,1295
D6.26(C22×C4) = C2×S3×M4(2)φ: trivial image48D6.26(C2^2xC4)192,1302

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