Extensions 1→N→G→Q→1 with N=C2xDic26 and Q=C2

Direct product G=NxQ with N=C2xDic26 and Q=C2
dρLabelID
C22xDic26416C2^2xDic26416,212

Semidirect products G=N:Q with N=C2xDic26 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xDic26):1C2 = C4.D52φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):1C2416,96
(C2xDic26):2C2 = C22:Dic26φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):2C2416,99
(C2xDic26):3C2 = C23.6D26φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):3C2416,106
(C2xDic26):4C2 = D26:Q8φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):4C2416,117
(C2xDic26):5C2 = C2xC104:C2φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):5C2416,123
(C2xDic26):6C2 = C52.48D4φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):6C2416,145
(C2xDic26):7C2 = D26:2Q8φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):7C2416,118
(C2xDic26):8C2 = C8.D26φ: C2/C1C2 ⊆ Out C2xDic262084-(C2xDic26):8C2416,130
(C2xDic26):9C2 = C2xD4.D13φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):9C2416,154
(C2xDic26):10C2 = C52.17D4φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):10C2416,157
(C2xDic26):11C2 = D4.9D26φ: C2/C1C2 ⊆ Out C2xDic262084-(C2xDic26):11C2416,172
(C2xDic26):12C2 = C2xD4:2D13φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):12C2416,217
(C2xDic26):13C2 = C2xQ8xD13φ: C2/C1C2 ⊆ Out C2xDic26208(C2xDic26):13C2416,219
(C2xDic26):14C2 = D4.10D26φ: C2/C1C2 ⊆ Out C2xDic262084-(C2xDic26):14C2416,224
(C2xDic26):15C2 = C2xD52:5C2φ: trivial image208(C2xDic26):15C2416,215

Non-split extensions G=N.Q with N=C2xDic26 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xDic26).1C2 = C52.44D4φ: C2/C1C2 ⊆ Out C2xDic26416(C2xDic26).1C2416,23
(C2xDic26).2C2 = Dic13.D4φ: C2/C1C2 ⊆ Out C2xDic262084-(C2xDic26).2C2416,80
(C2xDic26).3C2 = C52:2Q8φ: C2/C1C2 ⊆ Out C2xDic26416(C2xDic26).3C2416,90
(C2xDic26).4C2 = C52:Q8φ: C2/C1C2 ⊆ Out C2xDic26416(C2xDic26).4C2416,109
(C2xDic26).5C2 = C2xDic52φ: C2/C1C2 ⊆ Out C2xDic26416(C2xDic26).5C2416,126
(C2xDic26).6C2 = C26.Q16φ: C2/C1C2 ⊆ Out C2xDic26416(C2xDic26).6C2416,17
(C2xDic26).7C2 = C4.12D52φ: C2/C1C2 ⊆ Out C2xDic262084-(C2xDic26).7C2416,31
(C2xDic26).8C2 = Dic13:3Q8φ: C2/C1C2 ⊆ Out C2xDic26416(C2xDic26).8C2416,108
(C2xDic26).9C2 = C2xC13:Q16φ: C2/C1C2 ⊆ Out C2xDic26416(C2xDic26).9C2416,164
(C2xDic26).10C2 = Dic13:Q8φ: C2/C1C2 ⊆ Out C2xDic26416(C2xDic26).10C2416,165
(C2xDic26).11C2 = C4xDic26φ: trivial image416(C2xDic26).11C2416,89

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