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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C22×C4

Direct product G=N×Q with N=Dic3 and Q=C22×C4
dρLabelID
Dic3×C22×C4192Dic3xC2^2xC4192,1341

Semidirect products G=N:Q with N=Dic3 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
Dic3⋊1(C22×C4) = C2×Dic3⋊4D4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3:1(C2^2xC4)192,1044
Dic3⋊2(C22×C4) = C4×S3×D4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic348Dic3:2(C2^2xC4)192,1103
Dic3⋊3(C22×C4) = C2×C4×C3⋊D4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3:3(C2^2xC4)192,1347
Dic3⋊4(C22×C4) = C2×S3×C4⋊C4φ: C22×C4/C23 → C2 ⊆ Out Dic396Dic3:4(C2^2xC4)192,1060
Dic3⋊5(C22×C4) = C22×Dic3⋊C4φ: C22×C4/C23 → C2 ⊆ Out Dic3192Dic3:5(C2^2xC4)192,1342
Dic3⋊6(C22×C4) = S3×C2×C42φ: trivial image96Dic3:6(C2^2xC4)192,1030

Non-split extensions G=N.Q with N=Dic3 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
Dic3.1(C22×C4) = C2×C4×Dic6φ: C22×C4/C2×C4 → C2 ⊆ Out Dic3192Dic3.1(C2^2xC4)192,1026
Dic3.2(C22×C4) = C4×C4○D12φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3.2(C2^2xC4)192,1033
Dic3.3(C22×C4) = C24.35D6φ: C22×C4/C2×C4 → C2 ⊆ Out Dic348Dic3.3(C2^2xC4)192,1045
Dic3.4(C22×C4) = C2×Dic6⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic3192Dic3.4(C2^2xC4)192,1055
Dic3.5(C22×C4) = C6.82+ 1+4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3.5(C2^2xC4)192,1063
Dic3.6(C22×C4) = C42.87D6φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3.6(C2^2xC4)192,1075
Dic3.7(C22×C4) = C42.188D6φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3.7(C2^2xC4)192,1081
Dic3.8(C22×C4) = C42.91D6φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3.8(C2^2xC4)192,1082
Dic3.9(C22×C4) = C42⋊13D6φ: C22×C4/C2×C4 → C2 ⊆ Out Dic348Dic3.9(C2^2xC4)192,1104
Dic3.10(C22×C4) = C4×S3×Q8φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3.10(C2^2xC4)192,1130
Dic3.11(C22×C4) = C42.125D6φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3.11(C2^2xC4)192,1131
Dic3.12(C22×C4) = C2×C8○D12φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3.12(C2^2xC4)192,1297
Dic3.13(C22×C4) = C2×D12.C4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic396Dic3.13(C2^2xC4)192,1303
Dic3.14(C22×C4) = M4(2)⋊26D6φ: C22×C4/C2×C4 → C2 ⊆ Out Dic3484Dic3.14(C2^2xC4)192,1304
Dic3.15(C22×C4) = S3×C8○D4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic3484Dic3.15(C2^2xC4)192,1308
Dic3.16(C22×C4) = M4(2)⋊28D6φ: C22×C4/C2×C4 → C2 ⊆ Out Dic3484Dic3.16(C2^2xC4)192,1309
Dic3.17(C22×C4) = C2×C42⋊2S3φ: C22×C4/C23 → C2 ⊆ Out Dic396Dic3.17(C2^2xC4)192,1031
Dic3.18(C22×C4) = S3×C42⋊C2φ: C22×C4/C23 → C2 ⊆ Out Dic348Dic3.18(C2^2xC4)192,1079
Dic3.19(C22×C4) = C42.108D6φ: C22×C4/C23 → C2 ⊆ Out Dic396Dic3.19(C2^2xC4)192,1105
Dic3.20(C22×C4) = C42.126D6φ: C22×C4/C23 → C2 ⊆ Out Dic396Dic3.20(C2^2xC4)192,1133
Dic3.21(C22×C4) = C22×C8⋊S3φ: C22×C4/C23 → C2 ⊆ Out Dic396Dic3.21(C2^2xC4)192,1296
Dic3.22(C22×C4) = C2×C23.16D6φ: trivial image96Dic3.22(C2^2xC4)192,1039
Dic3.23(C22×C4) = C2×C4⋊C4⋊7S3φ: trivial image96Dic3.23(C2^2xC4)192,1061
Dic3.24(C22×C4) = C4×D4⋊2S3φ: trivial image96Dic3.24(C2^2xC4)192,1095
Dic3.25(C22×C4) = C4×Q8⋊3S3φ: trivial image96Dic3.25(C2^2xC4)192,1132
Dic3.26(C22×C4) = S3×C22×C8φ: trivial image96Dic3.26(C2^2xC4)192,1295
Dic3.27(C22×C4) = C2×S3×M4(2)φ: trivial image48Dic3.27(C2^2xC4)192,1302

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