# Extensions 1→N→G→Q→1 with N=D7×C22×C4 and Q=C2

Direct product G=N×Q with N=D7×C22×C4 and Q=C2
dρLabelID
D7×C23×C4224D7xC2^3xC4448,1366

Semidirect products G=N:Q with N=D7×C22×C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7×C22×C4)⋊1C2 = C2×C4⋊D28φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):1C2448,959
(D7×C22×C4)⋊2C2 = C428D14φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):2C2448,977
(D7×C22×C4)⋊3C2 = D7×C4⋊D4φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):3C2448,1057
(D7×C22×C4)⋊4C2 = C4⋊C421D14φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):4C2448,1059
(D7×C22×C4)⋊5C2 = C4⋊C426D14φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):5C2448,1080
(D7×C22×C4)⋊6C2 = C2×C282D4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):6C2448,1253
(D7×C22×C4)⋊7C2 = (C2×C28)⋊15D4φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):7C2448,1281
(D7×C22×C4)⋊8C2 = C22×D4×D7φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):8C2448,1369
(D7×C22×C4)⋊9C2 = C22×D42D7φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):9C2448,1370
(D7×C22×C4)⋊10C2 = C22×Q82D7φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):10C2448,1373
(D7×C22×C4)⋊11C2 = C2×D7×C4○D4φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):11C2448,1375
(D7×C22×C4)⋊12C2 = (C2×C4)⋊9D28φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):12C2448,199
(D7×C22×C4)⋊13C2 = C24.12D14φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):13C2448,490
(D7×C22×C4)⋊14C2 = C2×C4×D28φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):14C2448,926
(D7×C22×C4)⋊15C2 = C2×D7×C22⋊C4φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):15C2448,937
(D7×C22×C4)⋊16C2 = C2×Dic74D4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):16C2448,938
(D7×C22×C4)⋊17C2 = C2×D14.D4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):17C2448,941
(D7×C22×C4)⋊18C2 = C2×D14⋊D4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):18C2448,942
(D7×C22×C4)⋊19C2 = C2×D28⋊C4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):19C2448,956
(D7×C22×C4)⋊20C2 = C2×D14.5D4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):20C2448,958
(D7×C22×C4)⋊21C2 = C4×D4×D7φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):21C2448,997
(D7×C22×C4)⋊22C2 = C4212D14φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):22C2448,1000
(D7×C22×C4)⋊23C2 = D7×C22.D4φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):23C2448,1105
(D7×C22×C4)⋊24C2 = C4⋊C428D14φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4):24C2448,1109
(D7×C22×C4)⋊25C2 = C2×C4×C7⋊D4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):25C2448,1241
(D7×C22×C4)⋊26C2 = C22×C4○D28φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4):26C2448,1368

Non-split extensions G=N.Q with N=D7×C22×C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7×C22×C4).1C2 = C4⋊(D14⋊C4)φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).1C2448,521
(D7×C22×C4).2C2 = D146M4(2)φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4).2C2448,660
(D7×C22×C4).3C2 = C2×D7×C4⋊C4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).3C2448,954
(D7×C22×C4).4C2 = C2×C4⋊C47D7φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).4C2448,955
(D7×C22×C4).5C2 = C2×D142Q8φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).5C2448,962
(D7×C22×C4).6C2 = D7×C42⋊C2φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4).6C2448,973
(D7×C22×C4).7C2 = D7×C22⋊Q8φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4).7C2448,1079
(D7×C22×C4).8C2 = C2×D7×M4(2)φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4).8C2448,1196
(D7×C22×C4).9C2 = C2×D143Q8φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).9C2448,1266
(D7×C22×C4).10C2 = C22×Q8×D7φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).10C2448,1372
(D7×C22×C4).11C2 = D7×C2.C42φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).11C2448,197
(D7×C22×C4).12C2 = C22.58(D4×D7)φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).12C2448,198
(D7×C22×C4).13C2 = D14⋊C42φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).13C2448,200
(D7×C22×C4).14C2 = D14⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).14C2448,201
(D7×C22×C4).15C2 = D14⋊C4⋊C4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).15C2448,202
(D7×C22×C4).16C2 = D7×C22⋊C8φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4).16C2448,258
(D7×C22×C4).17C2 = D14⋊M4(2)φ: C2/C1C2 ⊆ Out D7×C22×C4112(D7xC2^2xC4).17C2448,260
(D7×C22×C4).18C2 = C4×D14⋊C4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).18C2448,472
(D7×C22×C4).19C2 = D14⋊C46C4φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).19C2448,523
(D7×C22×C4).20C2 = C2×D14⋊C8φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).20C2448,642
(D7×C22×C4).21C2 = C2×C42⋊D7φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).21C2448,925
(D7×C22×C4).22C2 = C2×D14⋊Q8φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).22C2448,961
(D7×C22×C4).23C2 = C22×C8⋊D7φ: C2/C1C2 ⊆ Out D7×C22×C4224(D7xC2^2xC4).23C2448,1190
(D7×C22×C4).24C2 = D7×C2×C42φ: trivial image224(D7xC2^2xC4).24C2448,924
(D7×C22×C4).25C2 = D7×C22×C8φ: trivial image224(D7xC2^2xC4).25C2448,1189

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