# Extensions 1→N→G→Q→1 with N=C5×D4 and Q=C22

Direct product G=N×Q with N=C5×D4 and Q=C22
dρLabelID
D4×C2×C1080D4xC2xC10160,229

Semidirect products G=N:Q with N=C5×D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×D4)⋊1C22 = D5×D8φ: C22/C1C22 ⊆ Out C5×D4404+(C5xD4):1C2^2160,131
(C5×D4)⋊2C22 = D8⋊D5φ: C22/C1C22 ⊆ Out C5×D4404(C5xD4):2C2^2160,132
(C5×D4)⋊3C22 = C2×D4⋊D5φ: C22/C2C2 ⊆ Out C5×D480(C5xD4):3C2^2160,152
(C5×D4)⋊4C22 = D4⋊D10φ: C22/C2C2 ⊆ Out C5×D4404+(C5xD4):4C2^2160,170
(C5×D4)⋊5C22 = C2×D4×D5φ: C22/C2C2 ⊆ Out C5×D440(C5xD4):5C2^2160,217
(C5×D4)⋊6C22 = C2×D42D5φ: C22/C2C2 ⊆ Out C5×D480(C5xD4):6C2^2160,218
(C5×D4)⋊7C22 = D46D10φ: C22/C2C2 ⊆ Out C5×D4404(C5xD4):7C2^2160,219
(C5×D4)⋊8C22 = D5×C4○D4φ: C22/C2C2 ⊆ Out C5×D4404(C5xD4):8C2^2160,223
(C5×D4)⋊9C22 = D48D10φ: C22/C2C2 ⊆ Out C5×D4404+(C5xD4):9C2^2160,224
(C5×D4)⋊10C22 = C10×D8φ: C22/C2C2 ⊆ Out C5×D480(C5xD4):10C2^2160,193
(C5×D4)⋊11C22 = C5×C8⋊C22φ: C22/C2C2 ⊆ Out C5×D4404(C5xD4):11C2^2160,197
(C5×D4)⋊12C22 = C10×C4○D4φ: trivial image80(C5xD4):12C2^2160,231
(C5×D4)⋊13C22 = C5×2+ 1+4φ: trivial image404(C5xD4):13C2^2160,232

Non-split extensions G=N.Q with N=C5×D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×D4).1C22 = D83D5φ: C22/C1C22 ⊆ Out C5×D4804-(C5xD4).1C2^2160,133
(C5×D4).2C22 = D5×SD16φ: C22/C1C22 ⊆ Out C5×D4404(C5xD4).2C2^2160,134
(C5×D4).3C22 = D40⋊C2φ: C22/C1C22 ⊆ Out C5×D4404+(C5xD4).3C2^2160,135
(C5×D4).4C22 = SD16⋊D5φ: C22/C1C22 ⊆ Out C5×D4804-(C5xD4).4C2^2160,136
(C5×D4).5C22 = SD163D5φ: C22/C1C22 ⊆ Out C5×D4804(C5xD4).5C2^2160,137
(C5×D4).6C22 = D4.D10φ: C22/C2C2 ⊆ Out C5×D4404(C5xD4).6C2^2160,153
(C5×D4).7C22 = C2×D4.D5φ: C22/C2C2 ⊆ Out C5×D480(C5xD4).7C2^2160,154
(C5×D4).8C22 = D4.8D10φ: C22/C2C2 ⊆ Out C5×D4804(C5xD4).8C2^2160,171
(C5×D4).9C22 = D4.9D10φ: C22/C2C2 ⊆ Out C5×D4804-(C5xD4).9C2^2160,172
(C5×D4).10C22 = D4.10D10φ: C22/C2C2 ⊆ Out C5×D4804-(C5xD4).10C2^2160,225
(C5×D4).11C22 = C10×SD16φ: C22/C2C2 ⊆ Out C5×D480(C5xD4).11C2^2160,194
(C5×D4).12C22 = C5×C4○D8φ: C22/C2C2 ⊆ Out C5×D4802(C5xD4).12C2^2160,196
(C5×D4).13C22 = C5×C8.C22φ: C22/C2C2 ⊆ Out C5×D4804(C5xD4).13C2^2160,198
(C5×D4).14C22 = C5×2- 1+4φ: trivial image804(C5xD4).14C2^2160,233

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