# Extensions 1→N→G→Q→1 with N=C4×D13 and Q=C22

Direct product G=N×Q with N=C4×D13 and Q=C22
dρLabelID
C22×C4×D13208C2^2xC4xD13416,213

Semidirect products G=N:Q with N=C4×D13 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×D13)⋊1C22 = D46D26φ: C22/C1C22 ⊆ Out C4×D131044(C4xD13):1C2^2416,218
(C4×D13)⋊2C22 = D48D26φ: C22/C1C22 ⊆ Out C4×D131044+(C4xD13):2C2^2416,223
(C4×D13)⋊3C22 = C2×D4×D13φ: C22/C2C2 ⊆ Out C4×D13104(C4xD13):3C2^2416,216
(C4×D13)⋊4C22 = C2×D42D13φ: C22/C2C2 ⊆ Out C4×D13208(C4xD13):4C2^2416,217
(C4×D13)⋊5C22 = C2×D52⋊C2φ: C22/C2C2 ⊆ Out C4×D13208(C4xD13):5C2^2416,220
(C4×D13)⋊6C22 = C2×D525C2φ: C22/C2C2 ⊆ Out C4×D13208(C4xD13):6C2^2416,215
(C4×D13)⋊7C22 = C4○D4×D13φ: C22/C2C2 ⊆ Out C4×D131044(C4xD13):7C2^2416,222

Non-split extensions G=N.Q with N=C4×D13 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×D13).1C22 = D8⋊D13φ: C22/C1C22 ⊆ Out C4×D131044(C4xD13).1C2^2416,132
(C4×D13).2C22 = Q8⋊D26φ: C22/C1C22 ⊆ Out C4×D131044+(C4xD13).2C2^2416,135
(C4×D13).3C22 = D4.D26φ: C22/C1C22 ⊆ Out C4×D132084-(C4xD13).3C2^2416,136
(C4×D13).4C22 = Q16⋊D13φ: C22/C1C22 ⊆ Out C4×D132084(C4xD13).4C2^2416,139
(C4×D13).5C22 = Q8.10D26φ: C22/C1C22 ⊆ Out C4×D132084(C4xD13).5C2^2416,221
(C4×D13).6C22 = D4.10D26φ: C22/C1C22 ⊆ Out C4×D132084-(C4xD13).6C2^2416,224
(C4×D13).7C22 = D521C4φ: C22/C1C22 ⊆ Out C4×D131048+(C4xD13).7C2^2416,82
(C4×D13).8C22 = Dic26⋊C4φ: C22/C1C22 ⊆ Out C4×D131048-(C4xD13).8C2^2416,83
(C4×D13).9C22 = D13.Q16φ: C22/C1C22 ⊆ Out C4×D131048-(C4xD13).9C2^2416,84
(C4×D13).10C22 = D52⋊C4φ: C22/C1C22 ⊆ Out C4×D131048+(C4xD13).10C2^2416,85
(C4×D13).11C22 = Dic26.C4φ: C22/C1C22 ⊆ Out C4×D132088-(C4xD13).11C2^2416,205
(C4×D13).12C22 = D4×C13⋊C4φ: C22/C1C22 ⊆ Out C4×D13528+(C4xD13).12C2^2416,206
(C4×D13).13C22 = D52.C4φ: C22/C1C22 ⊆ Out C4×D132088+(C4xD13).13C2^2416,207
(C4×D13).14C22 = Q8×C13⋊C4φ: C22/C1C22 ⊆ Out C4×D131048-(C4xD13).14C2^2416,208
(C4×D13).15C22 = D8×D13φ: C22/C2C2 ⊆ Out C4×D131044+(C4xD13).15C2^2416,131
(C4×D13).16C22 = D83D13φ: C22/C2C2 ⊆ Out C4×D132084-(C4xD13).16C2^2416,133
(C4×D13).17C22 = SD16×D13φ: C22/C2C2 ⊆ Out C4×D131044(C4xD13).17C2^2416,134
(C4×D13).18C22 = D26.6D4φ: C22/C2C2 ⊆ Out C4×D132084(C4xD13).18C2^2416,137
(C4×D13).19C22 = Q16×D13φ: C22/C2C2 ⊆ Out C4×D132084-(C4xD13).19C2^2416,138
(C4×D13).20C22 = D104⋊C2φ: C22/C2C2 ⊆ Out C4×D132084+(C4xD13).20C2^2416,140
(C4×D13).21C22 = C2×Q8×D13φ: C22/C2C2 ⊆ Out C4×D13208(C4xD13).21C2^2416,219
(C4×D13).22C22 = C2×C8⋊D13φ: C22/C2C2 ⊆ Out C4×D13208(C4xD13).22C2^2416,121
(C4×D13).23C22 = D52.3C4φ: C22/C2C2 ⊆ Out C4×D132082(C4xD13).23C2^2416,122
(C4×D13).24C22 = D52.2C4φ: C22/C2C2 ⊆ Out C4×D132084(C4xD13).24C2^2416,128
(C4×D13).25C22 = D26.8D4φ: C22/C2C2 ⊆ Out C4×D131044(C4xD13).25C2^2416,68
(C4×D13).26C22 = D13.D8φ: C22/C2C2 ⊆ Out C4×D131044(C4xD13).26C2^2416,69
(C4×D13).27C22 = C104.C4φ: C22/C2C2 ⊆ Out C4×D132084(C4xD13).27C2^2416,70
(C4×D13).28C22 = C104.1C4φ: C22/C2C2 ⊆ Out C4×D132084(C4xD13).28C2^2416,71
(C4×D13).29C22 = C2×C52.C4φ: C22/C2C2 ⊆ Out C4×D13208(C4xD13).29C2^2416,200
(C4×D13).30C22 = C2×C52⋊C4φ: C22/C2C2 ⊆ Out C4×D13104(C4xD13).30C2^2416,203
(C4×D13).31C22 = C8×C13⋊C4φ: C22/C2C2 ⊆ Out C4×D131044(C4xD13).31C2^2416,66
(C4×D13).32C22 = C104⋊C4φ: C22/C2C2 ⊆ Out C4×D131044(C4xD13).32C2^2416,67
(C4×D13).33C22 = C2×D13⋊C8φ: C22/C2C2 ⊆ Out C4×D13208(C4xD13).33C2^2416,199
(C4×D13).34C22 = D13⋊M4(2)φ: C22/C2C2 ⊆ Out C4×D131044(C4xD13).34C2^2416,201
(C4×D13).35C22 = C2×C4×C13⋊C4φ: C22/C2C2 ⊆ Out C4×D13104(C4xD13).35C2^2416,202
(C4×D13).36C22 = D26.C23φ: C22/C2C2 ⊆ Out C4×D131044(C4xD13).36C2^2416,204
(C4×D13).37C22 = C2×C8×D13φ: trivial image208(C4xD13).37C2^2416,120
(C4×D13).38C22 = M4(2)×D13φ: trivial image1044(C4xD13).38C2^2416,127

׿
×
𝔽