# Extensions 1→N→G→Q→1 with N=C5×C4○D4 and Q=C2

Direct product G=N×Q with N=C5×C4○D4 and Q=C2
dρLabelID
C10×C4○D480C10xC4oD4160,231

Semidirect products G=N:Q with N=C5×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4○D4)⋊1C2 = D4⋊D10φ: C2/C1C2 ⊆ Out C5×C4○D4404+(C5xC4oD4):1C2160,170
(C5×C4○D4)⋊2C2 = D4.8D10φ: C2/C1C2 ⊆ Out C5×C4○D4804(C5xC4oD4):2C2160,171
(C5×C4○D4)⋊3C2 = D5×C4○D4φ: C2/C1C2 ⊆ Out C5×C4○D4404(C5xC4oD4):3C2160,223
(C5×C4○D4)⋊4C2 = D48D10φ: C2/C1C2 ⊆ Out C5×C4○D4404+(C5xC4oD4):4C2160,224
(C5×C4○D4)⋊5C2 = D4.10D10φ: C2/C1C2 ⊆ Out C5×C4○D4804-(C5xC4oD4):5C2160,225
(C5×C4○D4)⋊6C2 = C5×C4○D8φ: C2/C1C2 ⊆ Out C5×C4○D4802(C5xC4oD4):6C2160,196
(C5×C4○D4)⋊7C2 = C5×C8⋊C22φ: C2/C1C2 ⊆ Out C5×C4○D4404(C5xC4oD4):7C2160,197
(C5×C4○D4)⋊8C2 = C5×2+ 1+4φ: C2/C1C2 ⊆ Out C5×C4○D4404(C5xC4oD4):8C2160,232
(C5×C4○D4)⋊9C2 = C5×2- 1+4φ: C2/C1C2 ⊆ Out C5×C4○D4804(C5xC4oD4):9C2160,233

Non-split extensions G=N.Q with N=C5×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4○D4).1C2 = D42Dic5φ: C2/C1C2 ⊆ Out C5×C4○D4404(C5xC4oD4).1C2160,44
(C5×C4○D4).2C2 = D4.Dic5φ: C2/C1C2 ⊆ Out C5×C4○D4804(C5xC4oD4).2C2160,169
(C5×C4○D4).3C2 = D4.9D10φ: C2/C1C2 ⊆ Out C5×C4○D4804-(C5xC4oD4).3C2160,172
(C5×C4○D4).4C2 = C5×C4≀C2φ: C2/C1C2 ⊆ Out C5×C4○D4402(C5xC4oD4).4C2160,54
(C5×C4○D4).5C2 = C5×C8.C22φ: C2/C1C2 ⊆ Out C5×C4○D4804(C5xC4oD4).5C2160,198
(C5×C4○D4).6C2 = C5×C8○D4φ: trivial image802(C5xC4oD4).6C2160,192

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