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Extensions 1→N→G→Q→1 with N=C7xC42.C2 and Q=C2

Direct product G=NxQ with N=C7xC42.C2 and Q=C2
dρLabelID
C14xC42.C2448C14xC4^2.C2448,1310

Semidirect products G=N:Q with N=C7xC42.C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7xC42.C2):1C2 = D28.4Q8φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):1C2448,600
(C7xC42.C2):2C2 = C42.70D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):2C2448,601
(C7xC42.C2):3C2 = C42.216D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):3C2448,602
(C7xC42.C2):4C2 = D7xC42.C2φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):4C2448,1140
(C7xC42.C2):5C2 = C42.236D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):5C2448,1141
(C7xC42.C2):6C2 = C42.148D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):6C2448,1142
(C7xC42.C2):7C2 = D28:7Q8φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):7C2448,1143
(C7xC42.C2):8C2 = C42.237D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):8C2448,1144
(C7xC42.C2):9C2 = C42.150D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):9C2448,1145
(C7xC42.C2):10C2 = C42.151D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):10C2448,1146
(C7xC42.C2):11C2 = C42.152D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):11C2448,1147
(C7xC42.C2):12C2 = C42.153D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):12C2448,1148
(C7xC42.C2):13C2 = C42.154D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):13C2448,1149
(C7xC42.C2):14C2 = C42.155D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):14C2448,1150
(C7xC42.C2):15C2 = C42.156D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):15C2448,1151
(C7xC42.C2):16C2 = C42.157D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):16C2448,1152
(C7xC42.C2):17C2 = C42.158D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):17C2448,1153
(C7xC42.C2):18C2 = C7xD4.Q8φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):18C2448,886
(C7xC42.C2):19C2 = C7xC42.78C22φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):19C2448,896
(C7xC42.C2):20C2 = C7xC42.29C22φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):20C2448,898
(C7xC42.C2):21C2 = C7xC22.33C24φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):21C2448,1322
(C7xC42.C2):22C2 = C7xC22.34C24φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):22C2448,1323
(C7xC42.C2):23C2 = C7xC22.35C24φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):23C2448,1324
(C7xC42.C2):24C2 = C7xC23.41C23φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):24C2448,1327
(C7xC42.C2):25C2 = C7xC22.46C24φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):25C2448,1335
(C7xC42.C2):26C2 = C7xC22.47C24φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):26C2448,1336
(C7xC42.C2):27C2 = C7xD4:3Q8φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):27C2448,1337
(C7xC42.C2):28C2 = C7xC22.56C24φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):28C2448,1345
(C7xC42.C2):29C2 = C7xC22.57C24φ: C2/C1 → C2 ⊆ Out C7xC42.C2224(C7xC4^2.C2):29C2448,1346
(C7xC42.C2):30C2 = C7xC23.36C23φ: trivial image224(C7xC4^2.C2):30C2448,1312
(C7xC42.C2):31C2 = C7xC23.37C23φ: trivial image224(C7xC4^2.C2):31C2448,1316

Non-split extensions G=N.Q with N=C7xC42.C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7xC42.C2).1C2 = Dic14.4Q8φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).1C2448,597
(C7xC42.C2).2C2 = C42.215D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).2C2448,598
(C7xC42.C2).3C2 = C42.68D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).3C2448,599
(C7xC42.C2).4C2 = C42.71D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).4C2448,603
(C7xC42.C2).5C2 = Dic14:7Q8φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).5C2448,1138
(C7xC42.C2).6C2 = C42.147D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).6C2448,1139
(C7xC42.C2).7C2 = C42.8D14φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).7C2448,100
(C7xC42.C2).8C2 = C7xC42.2C22φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).8C2448,134
(C7xC42.C2).9C2 = C7xQ8.Q8φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).9C2448,887
(C7xC42.C2).10C2 = C7xC42.30C22φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).10C2448,899
(C7xC42.C2).11C2 = C7xC8.5Q8φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).11C2448,907
(C7xC42.C2).12C2 = C7xC8:Q8φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).12C2448,909
(C7xC42.C2).13C2 = C7xQ8:3Q8φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).13C2448,1340
(C7xC42.C2).14C2 = C7xC22.58C24φ: C2/C1 → C2 ⊆ Out C7xC42.C2448(C7xC4^2.C2).14C2448,1347

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