# Extensions 1→N→G→Q→1 with N=C4×D5 and Q=C22

Direct product G=N×Q with N=C4×D5 and Q=C22
dρLabelID
D5×C22×C480D5xC2^2xC4160,214

Semidirect products G=N:Q with N=C4×D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×D5)⋊1C22 = D46D10φ: C22/C1C22 ⊆ Out C4×D5404(C4xD5):1C2^2160,219
(C4×D5)⋊2C22 = D48D10φ: C22/C1C22 ⊆ Out C4×D5404+(C4xD5):2C2^2160,224
(C4×D5)⋊3C22 = C2×D4×D5φ: C22/C2C2 ⊆ Out C4×D540(C4xD5):3C2^2160,217
(C4×D5)⋊4C22 = C2×D42D5φ: C22/C2C2 ⊆ Out C4×D580(C4xD5):4C2^2160,218
(C4×D5)⋊5C22 = C2×Q82D5φ: C22/C2C2 ⊆ Out C4×D580(C4xD5):5C2^2160,221
(C4×D5)⋊6C22 = C2×C4○D20φ: C22/C2C2 ⊆ Out C4×D580(C4xD5):6C2^2160,216
(C4×D5)⋊7C22 = D5×C4○D4φ: C22/C2C2 ⊆ Out C4×D5404(C4xD5):7C2^2160,223

Non-split extensions G=N.Q with N=C4×D5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×D5).1C22 = D8⋊D5φ: C22/C1C22 ⊆ Out C4×D5404(C4xD5).1C2^2160,132
(C4×D5).2C22 = D40⋊C2φ: C22/C1C22 ⊆ Out C4×D5404+(C4xD5).2C2^2160,135
(C4×D5).3C22 = SD16⋊D5φ: C22/C1C22 ⊆ Out C4×D5804-(C4xD5).3C2^2160,136
(C4×D5).4C22 = Q16⋊D5φ: C22/C1C22 ⊆ Out C4×D5804(C4xD5).4C2^2160,139
(C4×D5).5C22 = Q8.10D10φ: C22/C1C22 ⊆ Out C4×D5804(C4xD5).5C2^2160,222
(C4×D5).6C22 = D4.10D10φ: C22/C1C22 ⊆ Out C4×D5804-(C4xD5).6C2^2160,225
(C4×D5).7C22 = D20⋊C4φ: C22/C1C22 ⊆ Out C4×D5408+(C4xD5).7C2^2160,82
(C4×D5).8C22 = D4⋊F5φ: C22/C1C22 ⊆ Out C4×D5408-(C4xD5).8C2^2160,83
(C4×D5).9C22 = Q8⋊F5φ: C22/C1C22 ⊆ Out C4×D5408-(C4xD5).9C2^2160,84
(C4×D5).10C22 = Q82F5φ: C22/C1C22 ⊆ Out C4×D5408+(C4xD5).10C2^2160,85
(C4×D5).11C22 = D4.F5φ: C22/C1C22 ⊆ Out C4×D5808-(C4xD5).11C2^2160,206
(C4×D5).12C22 = D4×F5φ: C22/C1C22 ⊆ Out C4×D5208+(C4xD5).12C2^2160,207
(C4×D5).13C22 = Q8.F5φ: C22/C1C22 ⊆ Out C4×D5808+(C4xD5).13C2^2160,208
(C4×D5).14C22 = Q8×F5φ: C22/C1C22 ⊆ Out C4×D5408-(C4xD5).14C2^2160,209
(C4×D5).15C22 = D5×D8φ: C22/C2C2 ⊆ Out C4×D5404+(C4xD5).15C2^2160,131
(C4×D5).16C22 = D83D5φ: C22/C2C2 ⊆ Out C4×D5804-(C4xD5).16C2^2160,133
(C4×D5).17C22 = D5×SD16φ: C22/C2C2 ⊆ Out C4×D5404(C4xD5).17C2^2160,134
(C4×D5).18C22 = SD163D5φ: C22/C2C2 ⊆ Out C4×D5804(C4xD5).18C2^2160,137
(C4×D5).19C22 = D5×Q16φ: C22/C2C2 ⊆ Out C4×D5804-(C4xD5).19C2^2160,138
(C4×D5).20C22 = Q8.D10φ: C22/C2C2 ⊆ Out C4×D5804+(C4xD5).20C2^2160,140
(C4×D5).21C22 = C2×Q8×D5φ: C22/C2C2 ⊆ Out C4×D580(C4xD5).21C2^2160,220
(C4×D5).22C22 = C2×C8⋊D5φ: C22/C2C2 ⊆ Out C4×D580(C4xD5).22C2^2160,121
(C4×D5).23C22 = D20.3C4φ: C22/C2C2 ⊆ Out C4×D5802(C4xD5).23C2^2160,122
(C4×D5).24C22 = D20.2C4φ: C22/C2C2 ⊆ Out C4×D5804(C4xD5).24C2^2160,128
(C4×D5).25C22 = C40⋊C4φ: C22/C2C2 ⊆ Out C4×D5404(C4xD5).25C2^2160,68
(C4×D5).26C22 = D5.D8φ: C22/C2C2 ⊆ Out C4×D5404(C4xD5).26C2^2160,69
(C4×D5).27C22 = C40.C4φ: C22/C2C2 ⊆ Out C4×D5804(C4xD5).27C2^2160,70
(C4×D5).28C22 = D10.Q8φ: C22/C2C2 ⊆ Out C4×D5804(C4xD5).28C2^2160,71
(C4×D5).29C22 = C2×C4.F5φ: C22/C2C2 ⊆ Out C4×D580(C4xD5).29C2^2160,201
(C4×D5).30C22 = C2×C4⋊F5φ: C22/C2C2 ⊆ Out C4×D540(C4xD5).30C2^2160,204
(C4×D5).31C22 = C8×F5φ: C22/C2C2 ⊆ Out C4×D5404(C4xD5).31C2^2160,66
(C4×D5).32C22 = C8⋊F5φ: C22/C2C2 ⊆ Out C4×D5404(C4xD5).32C2^2160,67
(C4×D5).33C22 = C2×D5⋊C8φ: C22/C2C2 ⊆ Out C4×D580(C4xD5).33C2^2160,200
(C4×D5).34C22 = D5⋊M4(2)φ: C22/C2C2 ⊆ Out C4×D5404(C4xD5).34C2^2160,202
(C4×D5).35C22 = C2×C4×F5φ: C22/C2C2 ⊆ Out C4×D540(C4xD5).35C2^2160,203
(C4×D5).36C22 = D10.C23φ: C22/C2C2 ⊆ Out C4×D5404(C4xD5).36C2^2160,205
(C4×D5).37C22 = D5×C2×C8φ: trivial image80(C4xD5).37C2^2160,120
(C4×D5).38C22 = D5×M4(2)φ: trivial image404(C4xD5).38C2^2160,127

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