# Extensions 1→N→G→Q→1 with N=C2×Dic13 and Q=C22

Direct product G=N×Q with N=C2×Dic13 and Q=C22
dρLabelID
C23×Dic13416C2^3xDic13416,225

Semidirect products G=N:Q with N=C2×Dic13 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×Dic13)⋊1C22 = C22⋊D52φ: C22/C1C22 ⊆ Out C2×Dic13104(C2xDic13):1C2^2416,103
(C2×Dic13)⋊2C22 = C23⋊D26φ: C22/C1C22 ⊆ Out C2×Dic13104(C2xDic13):2C2^2416,158
(C2×Dic13)⋊3C22 = C24⋊D13φ: C22/C1C22 ⊆ Out C2×Dic13104(C2xDic13):3C2^2416,174
(C2×Dic13)⋊4C22 = D46D26φ: C22/C1C22 ⊆ Out C2×Dic131044(C2xDic13):4C2^2416,218
(C2×Dic13)⋊5C22 = C22⋊C4×D13φ: C22/C2C2 ⊆ Out C2×Dic13104(C2xDic13):5C2^2416,101
(C2×Dic13)⋊6C22 = C2×D26⋊C4φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13):6C2^2416,148
(C2×Dic13)⋊7C22 = C2×C23.D13φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13):7C2^2416,173
(C2×Dic13)⋊8C22 = C2×D4×D13φ: C22/C2C2 ⊆ Out C2×Dic13104(C2xDic13):8C2^2416,216
(C2×Dic13)⋊9C22 = C2×D42D13φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13):9C2^2416,217
(C2×Dic13)⋊10C22 = C4○D4×D13φ: C22/C2C2 ⊆ Out C2×Dic131044(C2xDic13):10C2^2416,222
(C2×Dic13)⋊11C22 = C22×C13⋊D4φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13):11C2^2416,226
(C2×Dic13)⋊12C22 = C22×C4×D13φ: trivial image208(C2xDic13):12C2^2416,213

Non-split extensions G=N.Q with N=C2×Dic13 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×Dic13).1C22 = C522Q8φ: C22/C1C22 ⊆ Out C2×Dic13416(C2xDic13).1C2^2416,90
(C2×Dic13).2C22 = C52.6Q8φ: C22/C1C22 ⊆ Out C2×Dic13416(C2xDic13).2C2^2416,91
(C2×Dic13).3C22 = C4.D52φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).3C2^2416,96
(C2×Dic13).4C22 = C422D13φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).4C2^2416,97
(C2×Dic13).5C22 = C22⋊Dic26φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).5C2^2416,99
(C2×Dic13).6C22 = D26.12D4φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).6C2^2416,104
(C2×Dic13).7C22 = D26⋊D4φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).7C2^2416,105
(C2×Dic13).8C22 = C52⋊Q8φ: C22/C1C22 ⊆ Out C2×Dic13416(C2xDic13).8C2^2416,109
(C2×Dic13).9C22 = Dic13.Q8φ: C22/C1C22 ⊆ Out C2×Dic13416(C2xDic13).9C2^2416,110
(C2×Dic13).10C22 = C4.Dic26φ: C22/C1C22 ⊆ Out C2×Dic13416(C2xDic13).10C2^2416,111
(C2×Dic13).11C22 = D26.13D4φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).11C2^2416,115
(C2×Dic13).12C22 = D26⋊Q8φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).12C2^2416,117
(C2×Dic13).13C22 = D262Q8φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).13C2^2416,118
(C2×Dic13).14C22 = C52.48D4φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).14C2^2416,145
(C2×Dic13).15C22 = C23.23D26φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).15C2^2416,150
(C2×Dic13).16C22 = C527D4φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).16C2^2416,151
(C2×Dic13).17C22 = C23.18D26φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).17C2^2416,156
(C2×Dic13).18C22 = C52.17D4φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).18C2^2416,157
(C2×Dic13).19C22 = C522D4φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).19C2^2416,159
(C2×Dic13).20C22 = Dic13⋊Q8φ: C22/C1C22 ⊆ Out C2×Dic13416(C2xDic13).20C2^2416,165
(C2×Dic13).21C22 = D263Q8φ: C22/C1C22 ⊆ Out C2×Dic13208(C2xDic13).21C2^2416,167
(C2×Dic13).22C22 = D4.10D26φ: C22/C1C22 ⊆ Out C2×Dic132084-(C2xDic13).22C2^2416,224
(C2×Dic13).23C22 = Dic13.D4φ: C22/C1C22 ⊆ Out C2×Dic132084-(C2xDic13).23C2^2416,80
(C2×Dic13).24C22 = Dic13.4D4φ: C22/C1C22 ⊆ Out C2×Dic131044(C2xDic13).24C2^2416,88
(C2×Dic13).25C22 = Dic26.C4φ: C22/C1C22 ⊆ Out C2×Dic132088-(C2xDic13).25C2^2416,205
(C2×Dic13).26C22 = C4×Dic26φ: C22/C2C2 ⊆ Out C2×Dic13416(C2xDic13).26C2^2416,89
(C2×Dic13).27C22 = C42⋊D13φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).27C2^2416,93
(C2×Dic13).28C22 = C4×D52φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).28C2^2416,94
(C2×Dic13).29C22 = C23.D26φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).29C2^2416,100
(C2×Dic13).30C22 = C23.6D26φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).30C2^2416,106
(C2×Dic13).31C22 = C22.D52φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).31C2^2416,107
(C2×Dic13).32C22 = C4⋊C4×D13φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).32C2^2416,112
(C2×Dic13).33C22 = C4⋊C47D13φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).33C2^2416,113
(C2×Dic13).34C22 = C42D52φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).34C2^2416,116
(C2×Dic13).35C22 = C4⋊C4⋊D13φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).35C2^2416,119
(C2×Dic13).36C22 = C2×C26.D4φ: C22/C2C2 ⊆ Out C2×Dic13416(C2xDic13).36C2^2416,144
(C2×Dic13).37C22 = C2×C523C4φ: C22/C2C2 ⊆ Out C2×Dic13416(C2xDic13).37C2^2416,146
(C2×Dic13).38C22 = C23.21D26φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).38C2^2416,147
(C2×Dic13).39C22 = C4×C13⋊D4φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).39C2^2416,149
(C2×Dic13).40C22 = D4×Dic13φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).40C2^2416,155
(C2×Dic13).41C22 = Dic13⋊D4φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).41C2^2416,160
(C2×Dic13).42C22 = C52⋊D4φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).42C2^2416,161
(C2×Dic13).43C22 = Q8×Dic13φ: C22/C2C2 ⊆ Out C2×Dic13416(C2xDic13).43C2^2416,166
(C2×Dic13).44C22 = C52.23D4φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).44C2^2416,168
(C2×Dic13).45C22 = C22×Dic26φ: C22/C2C2 ⊆ Out C2×Dic13416(C2xDic13).45C2^2416,212
(C2×Dic13).46C22 = C2×D525C2φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).46C2^2416,215
(C2×Dic13).47C22 = C2×Q8×D13φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).47C2^2416,219
(C2×Dic13).48C22 = C4×C13⋊C8φ: C22/C2C2 ⊆ Out C2×Dic13416(C2xDic13).48C2^2416,75
(C2×Dic13).49C22 = C52⋊C8φ: C22/C2C2 ⊆ Out C2×Dic13416(C2xDic13).49C2^2416,76
(C2×Dic13).50C22 = C26.C42φ: C22/C2C2 ⊆ Out C2×Dic13416(C2xDic13).50C2^2416,77
(C2×Dic13).51C22 = D26⋊C8φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).51C2^2416,78
(C2×Dic13).52C22 = Dic13⋊C8φ: C22/C2C2 ⊆ Out C2×Dic13416(C2xDic13).52C2^2416,79
(C2×Dic13).53C22 = C26.M4(2)φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).53C2^2416,87
(C2×Dic13).54C22 = C2×D13⋊C8φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).54C2^2416,199
(C2×Dic13).55C22 = C2×C52.C4φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).55C2^2416,200
(C2×Dic13).56C22 = D13⋊M4(2)φ: C22/C2C2 ⊆ Out C2×Dic131044(C2xDic13).56C2^2416,201
(C2×Dic13).57C22 = C22×C13⋊C8φ: C22/C2C2 ⊆ Out C2×Dic13416(C2xDic13).57C2^2416,209
(C2×Dic13).58C22 = C2×C13⋊M4(2)φ: C22/C2C2 ⊆ Out C2×Dic13208(C2xDic13).58C2^2416,210
(C2×Dic13).59C22 = C42×D13φ: trivial image208(C2xDic13).59C2^2416,92
(C2×Dic13).60C22 = C23.11D26φ: trivial image208(C2xDic13).60C2^2416,98
(C2×Dic13).61C22 = Dic134D4φ: trivial image208(C2xDic13).61C2^2416,102
(C2×Dic13).62C22 = Dic133Q8φ: trivial image416(C2xDic13).62C2^2416,108
(C2×Dic13).63C22 = D528C4φ: trivial image208(C2xDic13).63C2^2416,114
(C2×Dic13).64C22 = C2×C4×Dic13φ: trivial image416(C2xDic13).64C2^2416,143
(C2×Dic13).65C22 = C2×D52⋊C2φ: trivial image208(C2xDic13).65C2^2416,220

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