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Extensions 1→N→G→Q→1 with N=C5×C4.Dic3 and Q=C2

Direct product G=N×Q with N=C5×C4.Dic3 and Q=C2
dρLabelID
C10×C4.Dic3240C10xC4.Dic3480,800

Semidirect products G=N:Q with N=C5×C4.Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.Dic3)⋊1C2 = C60.28D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):1C2480,34
(C5×C4.Dic3)⋊2C2 = D60⋊30C22φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):2C2480,388
(C5×C4.Dic3)⋊3C2 = C12.D20φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3):3C2480,391
(C5×C4.Dic3)⋊4C2 = D60⋊16C4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):4C2480,57
(C5×C4.Dic3)⋊5C2 = D5×C4.Dic3φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):5C2480,358
(C5×C4.Dic3)⋊6C2 = D60.5C4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3):6C2480,366
(C5×C4.Dic3)⋊7C2 = C60.29D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204+(C5xC4.Dic3):7C2480,36
(C5×C4.Dic3)⋊8C2 = D20⋊19D6φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204+(C5xC4.Dic3):8C2480,377
(C5×C4.Dic3)⋊9C2 = C60.63D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404-(C5xC4.Dic3):9C2480,389
(C5×C4.Dic3)⋊10C2 = C60.96D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):10C2480,52
(C5×C4.Dic3)⋊11C2 = D20.2Dic3φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3):11C2480,360
(C5×C4.Dic3)⋊12C2 = D15⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):12C2480,368
(C5×C4.Dic3)⋊13C2 = C5×C42⋊4S3φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31202(C5xC4.Dic3):13C2480,124
(C5×C4.Dic3)⋊14C2 = C5×C12.46D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):14C2480,142
(C5×C4.Dic3)⋊15C2 = C5×C12.D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):15C2480,152
(C5×C4.Dic3)⋊16C2 = C5×Q8⋊3Dic3φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):16C2480,156
(C5×C4.Dic3)⋊17C2 = C5×S3×M4(2)φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):17C2480,785
(C5×C4.Dic3)⋊18C2 = C5×D12⋊6C22φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):18C2480,811
(C5×C4.Dic3)⋊19C2 = C5×Q8.11D6φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3):19C2480,821
(C5×C4.Dic3)⋊20C2 = C5×D4.Dic3φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3):20C2480,827
(C5×C4.Dic3)⋊21C2 = C5×D4⋊D6φ: C2/C1 → C2 ⊆ Out C5×C4.Dic31204(C5xC4.Dic3):21C2480,828
(C5×C4.Dic3)⋊22C2 = C5×Q8.14D6φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3):22C2480,830
(C5×C4.Dic3)⋊23C2 = C5×C8○D12φ: trivial image2402(C5xC4.Dic3):23C2480,780

Non-split extensions G=N.Q with N=C5×C4.Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.Dic3).1C2 = C12.6D20φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3).1C2480,37
(C5×C4.Dic3).2C2 = C60.105D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3).2C2480,67
(C5×C4.Dic3).3C2 = C60.31D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404-(C5xC4.Dic3).3C2480,39
(C5×C4.Dic3).4C2 = C60.D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3).4C2480,68
(C5×C4.Dic3).5C2 = C5×C24.C4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32402(C5xC4.Dic3).5C2480,138
(C5×C4.Dic3).6C2 = C5×C12.53D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3).6C2480,141
(C5×C4.Dic3).7C2 = C5×C12.47D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3).7C2480,143
(C5×C4.Dic3).8C2 = C5×C12.10D4φ: C2/C1 → C2 ⊆ Out C5×C4.Dic32404(C5xC4.Dic3).8C2480,155

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