Extensions 1→N→G→Q→1 with N=C5xC4oD4 and Q=C2

Direct product G=NxQ with N=C5xC4oD4 and Q=C2
dρLabelID
C10xC4oD480C10xC4oD4160,231

Semidirect products G=N:Q with N=C5xC4oD4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xC4oD4):1C2 = D4:D10φ: C2/C1C2 ⊆ Out C5xC4oD4404+(C5xC4oD4):1C2160,170
(C5xC4oD4):2C2 = D4.8D10φ: C2/C1C2 ⊆ Out C5xC4oD4804(C5xC4oD4):2C2160,171
(C5xC4oD4):3C2 = D5xC4oD4φ: C2/C1C2 ⊆ Out C5xC4oD4404(C5xC4oD4):3C2160,223
(C5xC4oD4):4C2 = D4:8D10φ: C2/C1C2 ⊆ Out C5xC4oD4404+(C5xC4oD4):4C2160,224
(C5xC4oD4):5C2 = D4.10D10φ: C2/C1C2 ⊆ Out C5xC4oD4804-(C5xC4oD4):5C2160,225
(C5xC4oD4):6C2 = C5xC4oD8φ: C2/C1C2 ⊆ Out C5xC4oD4802(C5xC4oD4):6C2160,196
(C5xC4oD4):7C2 = C5xC8:C22φ: C2/C1C2 ⊆ Out C5xC4oD4404(C5xC4oD4):7C2160,197
(C5xC4oD4):8C2 = C5x2+ 1+4φ: C2/C1C2 ⊆ Out C5xC4oD4404(C5xC4oD4):8C2160,232
(C5xC4oD4):9C2 = C5x2- 1+4φ: C2/C1C2 ⊆ Out C5xC4oD4804(C5xC4oD4):9C2160,233

Non-split extensions G=N.Q with N=C5xC4oD4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xC4oD4).1C2 = D4:2Dic5φ: C2/C1C2 ⊆ Out C5xC4oD4404(C5xC4oD4).1C2160,44
(C5xC4oD4).2C2 = D4.Dic5φ: C2/C1C2 ⊆ Out C5xC4oD4804(C5xC4oD4).2C2160,169
(C5xC4oD4).3C2 = D4.9D10φ: C2/C1C2 ⊆ Out C5xC4oD4804-(C5xC4oD4).3C2160,172
(C5xC4oD4).4C2 = C5xC4wrC2φ: C2/C1C2 ⊆ Out C5xC4oD4402(C5xC4oD4).4C2160,54
(C5xC4oD4).5C2 = C5xC8.C22φ: C2/C1C2 ⊆ Out C5xC4oD4804(C5xC4oD4).5C2160,198
(C5xC4oD4).6C2 = C5xC8oD4φ: trivial image802(C5xC4oD4).6C2160,192

׿
x
:
Z
F
o
wr
Q
<