# Extensions 1→N→G→Q→1 with N=C7×C42⋊C2 and Q=C2

Direct product G=N×Q with N=C7×C42⋊C2 and Q=C2
dρLabelID
C14×C42⋊C2224C14xC4^2:C2448,1297

Semidirect products G=N:Q with N=C7×C42⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C42⋊C2)⋊1C2 = C4⋊C436D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):1C2448,535
(C7×C42⋊C2)⋊2C2 = C4.(C2×D28)φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):2C2448,536
(C7×C42⋊C2)⋊3C2 = C4⋊C4.236D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):3C2448,537
(C7×C42⋊C2)⋊4C2 = C424D14φ: C2/C1C2 ⊆ Out C7×C42⋊C21124(C7xC4^2:C2):4C2448,539
(C7×C42⋊C2)⋊5C2 = (C2×D28)⋊13C4φ: C2/C1C2 ⊆ Out C7×C42⋊C21124(C7xC4^2:C2):5C2448,540
(C7×C42⋊C2)⋊6C2 = D7×C42⋊C2φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):6C2448,973
(C7×C42⋊C2)⋊7C2 = C427D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):7C2448,974
(C7×C42⋊C2)⋊8C2 = C42.188D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):8C2448,975
(C7×C42⋊C2)⋊9C2 = C42.91D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):9C2448,976
(C7×C42⋊C2)⋊10C2 = C428D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):10C2448,977
(C7×C42⋊C2)⋊11C2 = C429D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):11C2448,978
(C7×C42⋊C2)⋊12C2 = C42.92D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):12C2448,979
(C7×C42⋊C2)⋊13C2 = C4210D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):13C2448,980
(C7×C42⋊C2)⋊14C2 = C42.93D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):14C2448,981
(C7×C42⋊C2)⋊15C2 = C42.94D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):15C2448,982
(C7×C42⋊C2)⋊16C2 = C42.95D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):16C2448,983
(C7×C42⋊C2)⋊17C2 = C42.96D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):17C2448,984
(C7×C42⋊C2)⋊18C2 = C42.97D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):18C2448,985
(C7×C42⋊C2)⋊19C2 = C42.98D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):19C2448,986
(C7×C42⋊C2)⋊20C2 = C42.99D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):20C2448,987
(C7×C42⋊C2)⋊21C2 = C42.100D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):21C2448,988
(C7×C42⋊C2)⋊22C2 = C7×C23.C23φ: C2/C1C2 ⊆ Out C7×C42⋊C21124(C7xC4^2:C2):22C2448,818
(C7×C42⋊C2)⋊23C2 = C7×C23.24D4φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):23C2448,824
(C7×C42⋊C2)⋊24C2 = C7×C23.37D4φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):24C2448,826
(C7×C42⋊C2)⋊25C2 = C7×C42⋊C22φ: C2/C1C2 ⊆ Out C7×C42⋊C21124(C7xC4^2:C2):25C2448,829
(C7×C42⋊C2)⋊26C2 = C7×C23.19D4φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):26C2448,890
(C7×C42⋊C2)⋊27C2 = C7×C22.11C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):27C2448,1301
(C7×C42⋊C2)⋊28C2 = C7×C23.33C23φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):28C2448,1303
(C7×C42⋊C2)⋊29C2 = C7×C22.19C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):29C2448,1308
(C7×C42⋊C2)⋊30C2 = C7×C23.36C23φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):30C2448,1312
(C7×C42⋊C2)⋊31C2 = C7×C22.29C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):31C2448,1318
(C7×C42⋊C2)⋊32C2 = C7×C23.38C23φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):32C2448,1319
(C7×C42⋊C2)⋊33C2 = C7×C22.34C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):33C2448,1323
(C7×C42⋊C2)⋊34C2 = C7×C22.36C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):34C2448,1325
(C7×C42⋊C2)⋊35C2 = C7×C22.45C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2):35C2448,1334
(C7×C42⋊C2)⋊36C2 = C7×C22.46C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):36C2448,1335
(C7×C42⋊C2)⋊37C2 = C7×C22.47C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):37C2448,1336
(C7×C42⋊C2)⋊38C2 = C7×C22.49C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):38C2448,1338
(C7×C42⋊C2)⋊39C2 = C7×C22.50C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2):39C2448,1339
(C7×C42⋊C2)⋊40C2 = C4○D4×C28φ: trivial image224(C7xC4^2:C2):40C2448,1300

Non-split extensions G=N.Q with N=C7×C42⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C42⋊C2).1C2 = C42⋊Dic7φ: C2/C1C2 ⊆ Out C7×C42⋊C21124(C7xC4^2:C2).1C2448,88
(C7×C42⋊C2).2C2 = C28.2C42φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2).2C2448,89
(C7×C42⋊C2).3C2 = (C2×C28).Q8φ: C2/C1C2 ⊆ Out C7×C42⋊C21124(C7xC4^2:C2).3C2448,90
(C7×C42⋊C2).4C2 = C28.(C2×Q8)φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).4C2448,529
(C7×C42⋊C2).5C2 = C4⋊C4.233D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).5C2448,530
(C7×C42⋊C2).6C2 = C28.5C42φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).6C2448,531
(C7×C42⋊C2).7C2 = C28.45(C4⋊C4)φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).7C2448,532
(C7×C42⋊C2).8C2 = C42.43D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).8C2448,533
(C7×C42⋊C2).9C2 = C42.187D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).9C2448,534
(C7×C42⋊C2).10C2 = (C2×C4).47D28φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).10C2448,538
(C7×C42⋊C2).11C2 = C42.87D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).11C2448,969
(C7×C42⋊C2).12C2 = C42.88D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).12C2448,970
(C7×C42⋊C2).13C2 = C42.89D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).13C2448,971
(C7×C42⋊C2).14C2 = C42.90D14φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).14C2448,972
(C7×C42⋊C2).15C2 = C7×C4.9C42φ: C2/C1C2 ⊆ Out C7×C42⋊C21124(C7xC4^2:C2).15C2448,141
(C7×C42⋊C2).16C2 = C7×C426C4φ: C2/C1C2 ⊆ Out C7×C42⋊C2112(C7xC4^2:C2).16C2448,143
(C7×C42⋊C2).17C2 = C7×M4(2)⋊4C4φ: C2/C1C2 ⊆ Out C7×C42⋊C21124(C7xC4^2:C2).17C2448,148
(C7×C42⋊C2).18C2 = C7×C23.38D4φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).18C2448,827
(C7×C42⋊C2).19C2 = C7×C42.6C22φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).19C2448,832
(C7×C42⋊C2).20C2 = C7×C23.25D4φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).20C2448,835
(C7×C42⋊C2).21C2 = C7×M4(2)⋊C4φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).21C2448,836
(C7×C42⋊C2).22C2 = C7×C42.7C22φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).22C2448,841
(C7×C42⋊C2).23C2 = C7×C23.20D4φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).23C2448,893
(C7×C42⋊C2).24C2 = C7×C23.32C23φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).24C2448,1302
(C7×C42⋊C2).25C2 = C7×C23.37C23φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).25C2448,1316
(C7×C42⋊C2).26C2 = C7×C22.35C24φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).26C2448,1324
(C7×C42⋊C2).27C2 = C7×C23.41C23φ: C2/C1C2 ⊆ Out C7×C42⋊C2224(C7xC4^2:C2).27C2448,1327
(C7×C42⋊C2).28C2 = C7×C82M4(2)φ: trivial image224(C7xC4^2:C2).28C2448,813

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