Extensions 1→N→G→Q→1 with N=Dic3 and Q=C5×D4

Direct product G=N×Q with N=Dic3 and Q=C5×D4
dρLabelID
C5×D4×Dic3240C5xD4xDic3480,813

Semidirect products G=N:Q with N=Dic3 and Q=C5×D4
extensionφ:Q→Out NdρLabelID
Dic31(C5×D4) = C5×C123D4φ: C5×D4/C20C2 ⊆ Out Dic3240Dic3:1(C5xD4)480,819
Dic32(C5×D4) = C5×Dic3⋊D4φ: C5×D4/C2×C10C2 ⊆ Out Dic3240Dic3:2(C5xD4)480,763
Dic33(C5×D4) = C5×C23.14D6φ: C5×D4/C2×C10C2 ⊆ Out Dic3240Dic3:3(C5xD4)480,818
Dic34(C5×D4) = C5×Dic34D4φ: trivial image240Dic3:4(C5xD4)480,760
Dic35(C5×D4) = C5×Dic35D4φ: trivial image240Dic3:5(C5xD4)480,772

Non-split extensions G=N.Q with N=Dic3 and Q=C5×D4
extensionφ:Q→Out NdρLabelID
Dic3.1(C5×D4) = C5×C23.11D6φ: C5×D4/C20C2 ⊆ Out Dic3240Dic3.1(C5xD4)480,764
Dic3.2(C5×D4) = C5×C12⋊Q8φ: C5×D4/C20C2 ⊆ Out Dic3480Dic3.2(C5xD4)480,767
Dic3.3(C5×D4) = C5×S3×D8φ: C5×D4/C20C2 ⊆ Out Dic31204Dic3.3(C5xD4)480,789
Dic3.4(C5×D4) = C5×S3×SD16φ: C5×D4/C20C2 ⊆ Out Dic31204Dic3.4(C5xD4)480,792
Dic3.5(C5×D4) = C5×S3×Q16φ: C5×D4/C20C2 ⊆ Out Dic32404Dic3.5(C5xD4)480,796
Dic3.6(C5×D4) = C5×Dic3.D4φ: C5×D4/C2×C10C2 ⊆ Out Dic3240Dic3.6(C5xD4)480,757
Dic3.7(C5×D4) = C5×D6⋊Q8φ: C5×D4/C2×C10C2 ⊆ Out Dic3240Dic3.7(C5xD4)480,775
Dic3.8(C5×D4) = C5×D8⋊S3φ: C5×D4/C2×C10C2 ⊆ Out Dic31204Dic3.8(C5xD4)480,790
Dic3.9(C5×D4) = C5×Q83D6φ: C5×D4/C2×C10C2 ⊆ Out Dic31204Dic3.9(C5xD4)480,793
Dic3.10(C5×D4) = C5×D4.D6φ: C5×D4/C2×C10C2 ⊆ Out Dic32404Dic3.10(C5xD4)480,794
Dic3.11(C5×D4) = C5×Q16⋊S3φ: C5×D4/C2×C10C2 ⊆ Out Dic32404Dic3.11(C5xD4)480,797
Dic3.12(C5×D4) = C5×D83S3φ: trivial image2404Dic3.12(C5xD4)480,791
Dic3.13(C5×D4) = C5×Q8.7D6φ: trivial image2404Dic3.13(C5xD4)480,795
Dic3.14(C5×D4) = C5×D24⋊C2φ: trivial image2404Dic3.14(C5xD4)480,798

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