Extensions 1→N→G→Q→1 with N=C5xQ8 and Q=C22

Direct product G=NxQ with N=C5xQ8 and Q=C22
dρLabelID
Q8xC2xC10160Q8xC2xC10160,230

Semidirect products G=N:Q with N=C5xQ8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5xQ8):1C22 = D5xSD16φ: C22/C1C22 ⊆ Out C5xQ8404(C5xQ8):1C2^2160,134
(C5xQ8):2C22 = D40:C2φ: C22/C1C22 ⊆ Out C5xQ8404+(C5xQ8):2C2^2160,135
(C5xQ8):3C22 = C2xQ8:D5φ: C22/C2C2 ⊆ Out C5xQ880(C5xQ8):3C2^2160,162
(C5xQ8):4C22 = D4:D10φ: C22/C2C2 ⊆ Out C5xQ8404+(C5xQ8):4C2^2160,170
(C5xQ8):5C22 = C2xQ8xD5φ: C22/C2C2 ⊆ Out C5xQ880(C5xQ8):5C2^2160,220
(C5xQ8):6C22 = C2xQ8:2D5φ: C22/C2C2 ⊆ Out C5xQ880(C5xQ8):6C2^2160,221
(C5xQ8):7C22 = D5xC4oD4φ: C22/C2C2 ⊆ Out C5xQ8404(C5xQ8):7C2^2160,223
(C5xQ8):8C22 = D4:8D10φ: C22/C2C2 ⊆ Out C5xQ8404+(C5xQ8):8C2^2160,224
(C5xQ8):9C22 = C10xSD16φ: C22/C2C2 ⊆ Out C5xQ880(C5xQ8):9C2^2160,194
(C5xQ8):10C22 = C5xC8:C22φ: C22/C2C2 ⊆ Out C5xQ8404(C5xQ8):10C2^2160,197
(C5xQ8):11C22 = C10xC4oD4φ: trivial image80(C5xQ8):11C2^2160,231
(C5xQ8):12C22 = C5x2+ 1+4φ: trivial image404(C5xQ8):12C2^2160,232

Non-split extensions G=N.Q with N=C5xQ8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5xQ8).1C22 = SD16:D5φ: C22/C1C22 ⊆ Out C5xQ8804-(C5xQ8).1C2^2160,136
(C5xQ8).2C22 = SD16:3D5φ: C22/C1C22 ⊆ Out C5xQ8804(C5xQ8).2C2^2160,137
(C5xQ8).3C22 = D5xQ16φ: C22/C1C22 ⊆ Out C5xQ8804-(C5xQ8).3C2^2160,138
(C5xQ8).4C22 = Q16:D5φ: C22/C1C22 ⊆ Out C5xQ8804(C5xQ8).4C2^2160,139
(C5xQ8).5C22 = Q8.D10φ: C22/C1C22 ⊆ Out C5xQ8804+(C5xQ8).5C2^2160,140
(C5xQ8).6C22 = C20.C23φ: C22/C2C2 ⊆ Out C5xQ8804(C5xQ8).6C2^2160,163
(C5xQ8).7C22 = C2xC5:Q16φ: C22/C2C2 ⊆ Out C5xQ8160(C5xQ8).7C2^2160,164
(C5xQ8).8C22 = D4.8D10φ: C22/C2C2 ⊆ Out C5xQ8804(C5xQ8).8C2^2160,171
(C5xQ8).9C22 = D4.9D10φ: C22/C2C2 ⊆ Out C5xQ8804-(C5xQ8).9C2^2160,172
(C5xQ8).10C22 = Q8.10D10φ: C22/C2C2 ⊆ Out C5xQ8804(C5xQ8).10C2^2160,222
(C5xQ8).11C22 = D4.10D10φ: C22/C2C2 ⊆ Out C5xQ8804-(C5xQ8).11C2^2160,225
(C5xQ8).12C22 = C10xQ16φ: C22/C2C2 ⊆ Out C5xQ8160(C5xQ8).12C2^2160,195
(C5xQ8).13C22 = C5xC4oD8φ: C22/C2C2 ⊆ Out C5xQ8802(C5xQ8).13C2^2160,196
(C5xQ8).14C22 = C5xC8.C22φ: C22/C2C2 ⊆ Out C5xQ8804(C5xQ8).14C2^2160,198
(C5xQ8).15C22 = C5x2- 1+4φ: trivial image804(C5xQ8).15C2^2160,233

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