Extensions 1→N→G→Q→1 with N=C5×Q8 and Q=C22

Direct product G=N×Q with N=C5×Q8 and Q=C22
dρLabelID
Q8×C2×C10160Q8xC2xC10160,230

Semidirect products G=N:Q with N=C5×Q8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×Q8)⋊1C22 = D5×SD16φ: C22/C1C22 ⊆ Out C5×Q8404(C5xQ8):1C2^2160,134
(C5×Q8)⋊2C22 = D40⋊C2φ: C22/C1C22 ⊆ Out C5×Q8404+(C5xQ8):2C2^2160,135
(C5×Q8)⋊3C22 = C2×Q8⋊D5φ: C22/C2C2 ⊆ Out C5×Q880(C5xQ8):3C2^2160,162
(C5×Q8)⋊4C22 = D4⋊D10φ: C22/C2C2 ⊆ Out C5×Q8404+(C5xQ8):4C2^2160,170
(C5×Q8)⋊5C22 = C2×Q8×D5φ: C22/C2C2 ⊆ Out C5×Q880(C5xQ8):5C2^2160,220
(C5×Q8)⋊6C22 = C2×Q82D5φ: C22/C2C2 ⊆ Out C5×Q880(C5xQ8):6C2^2160,221
(C5×Q8)⋊7C22 = D5×C4○D4φ: C22/C2C2 ⊆ Out C5×Q8404(C5xQ8):7C2^2160,223
(C5×Q8)⋊8C22 = D48D10φ: C22/C2C2 ⊆ Out C5×Q8404+(C5xQ8):8C2^2160,224
(C5×Q8)⋊9C22 = C10×SD16φ: C22/C2C2 ⊆ Out C5×Q880(C5xQ8):9C2^2160,194
(C5×Q8)⋊10C22 = C5×C8⋊C22φ: C22/C2C2 ⊆ Out C5×Q8404(C5xQ8):10C2^2160,197
(C5×Q8)⋊11C22 = C10×C4○D4φ: trivial image80(C5xQ8):11C2^2160,231
(C5×Q8)⋊12C22 = C5×2+ 1+4φ: trivial image404(C5xQ8):12C2^2160,232

Non-split extensions G=N.Q with N=C5×Q8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×Q8).1C22 = SD16⋊D5φ: C22/C1C22 ⊆ Out C5×Q8804-(C5xQ8).1C2^2160,136
(C5×Q8).2C22 = SD163D5φ: C22/C1C22 ⊆ Out C5×Q8804(C5xQ8).2C2^2160,137
(C5×Q8).3C22 = D5×Q16φ: C22/C1C22 ⊆ Out C5×Q8804-(C5xQ8).3C2^2160,138
(C5×Q8).4C22 = Q16⋊D5φ: C22/C1C22 ⊆ Out C5×Q8804(C5xQ8).4C2^2160,139
(C5×Q8).5C22 = Q8.D10φ: C22/C1C22 ⊆ Out C5×Q8804+(C5xQ8).5C2^2160,140
(C5×Q8).6C22 = C20.C23φ: C22/C2C2 ⊆ Out C5×Q8804(C5xQ8).6C2^2160,163
(C5×Q8).7C22 = C2×C5⋊Q16φ: C22/C2C2 ⊆ Out C5×Q8160(C5xQ8).7C2^2160,164
(C5×Q8).8C22 = D4.8D10φ: C22/C2C2 ⊆ Out C5×Q8804(C5xQ8).8C2^2160,171
(C5×Q8).9C22 = D4.9D10φ: C22/C2C2 ⊆ Out C5×Q8804-(C5xQ8).9C2^2160,172
(C5×Q8).10C22 = Q8.10D10φ: C22/C2C2 ⊆ Out C5×Q8804(C5xQ8).10C2^2160,222
(C5×Q8).11C22 = D4.10D10φ: C22/C2C2 ⊆ Out C5×Q8804-(C5xQ8).11C2^2160,225
(C5×Q8).12C22 = C10×Q16φ: C22/C2C2 ⊆ Out C5×Q8160(C5xQ8).12C2^2160,195
(C5×Q8).13C22 = C5×C4○D8φ: C22/C2C2 ⊆ Out C5×Q8802(C5xQ8).13C2^2160,196
(C5×Q8).14C22 = C5×C8.C22φ: C22/C2C2 ⊆ Out C5×Q8804(C5xQ8).14C2^2160,198
(C5×Q8).15C22 = C5×2- 1+4φ: trivial image804(C5xQ8).15C2^2160,233

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