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Extensions 1→N→G→Q→1 with N=C3×C4.Dic5 and Q=C2

Direct product G=N×Q with N=C3×C4.Dic5 and Q=C2
dρLabelID
C6×C4.Dic5240C6xC4.Dic5480,714

Semidirect products G=N:Q with N=C3×C4.Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4.Dic5)⋊1C2 = C20.5D12φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):1C2480,35
(C3×C4.Dic5)⋊2C2 = D60⋊36C22φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):2C2480,380
(C3×C4.Dic5)⋊3C2 = C20.D12φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5):3C2480,397
(C3×C4.Dic5)⋊4C2 = D60⋊13C4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):4C2480,56
(C3×C4.Dic5)⋊5C2 = S3×C4.Dic5φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):5C2480,363
(C3×C4.Dic5)⋊6C2 = D60.4C4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5):6C2480,367
(C3×C4.Dic5)⋊7C2 = C60.29D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204+(C3xC4.Dic5):7C2480,36
(C3×C4.Dic5)⋊8C2 = C60.38D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204+(C3xC4.Dic5):8C2480,381
(C3×C4.Dic5)⋊9C2 = D12.33D10φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404-(C3xC4.Dic5):9C2480,398
(C3×C4.Dic5)⋊10C2 = C60.98D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):10C2480,54
(C3×C4.Dic5)⋊11C2 = D12.Dic5φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5):11C2480,364
(C3×C4.Dic5)⋊12C2 = D15⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):12C2480,368
(C3×C4.Dic5)⋊13C2 = C3×D20⋊4C4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51202(C3xC4.Dic5):13C2480,83
(C3×C4.Dic5)⋊14C2 = C3×C20.46D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):14C2480,101
(C3×C4.Dic5)⋊15C2 = C3×C20.D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):15C2480,111
(C3×C4.Dic5)⋊16C2 = C3×D4⋊2Dic5φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):16C2480,115
(C3×C4.Dic5)⋊17C2 = C3×D5×M4(2)φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):17C2480,699
(C3×C4.Dic5)⋊18C2 = C3×D4.D10φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):18C2480,725
(C3×C4.Dic5)⋊19C2 = C3×C20.C23φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5):19C2480,735
(C3×C4.Dic5)⋊20C2 = C3×D4.Dic5φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5):20C2480,741
(C3×C4.Dic5)⋊21C2 = C3×D4⋊D10φ: C2/C1 → C2 ⊆ Out C3×C4.Dic51204(C3xC4.Dic5):21C2480,742
(C3×C4.Dic5)⋊22C2 = C3×D4.9D10φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5):22C2480,744
(C3×C4.Dic5)⋊23C2 = C3×D20.3C4φ: trivial image2402(C3xC4.Dic5):23C2480,694

Non-split extensions G=N.Q with N=C3×C4.Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4.Dic5).1C2 = C60.54D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5).1C2480,38
(C3×C4.Dic5).2C2 = C12.59D20φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5).2C2480,69
(C3×C4.Dic5).3C2 = C60.31D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404-(C3xC4.Dic5).3C2480,39
(C3×C4.Dic5).4C2 = C60.D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5).4C2480,68
(C3×C4.Dic5).5C2 = C3×C40.6C4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52402(C3xC4.Dic5).5C2480,97
(C3×C4.Dic5).6C2 = C3×C20.53D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5).6C2480,100
(C3×C4.Dic5).7C2 = C3×C4.12D20φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5).7C2480,102
(C3×C4.Dic5).8C2 = C3×C20.10D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic52404(C3xC4.Dic5).8C2480,114

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