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

Direct product G=N×Q with N=C2×C4×D7 and Q=C4
dρLabelID
D7×C2×C42224D7xC2xC4^2448,924

Semidirect products G=N:Q with N=C2×C4×D7 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C4×D7)⋊1C4 = C23⋊C45D7φ: C4/C1C4 ⊆ Out C2×C4×D71128-(C2xC4xD7):1C4448,274
(C2×C4×D7)⋊2C4 = D7×C23⋊C4φ: C4/C1C4 ⊆ Out C2×C4×D7568+(C2xC4xD7):2C4448,277
(C2×C4×D7)⋊3C4 = (C2×D28)⋊13C4φ: C4/C1C4 ⊆ Out C2×C4×D71124(C2xC4xD7):3C4448,540
(C2×C4×D7)⋊4C4 = C4⋊(D14⋊C4)φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7):4C4448,521
(C2×C4×D7)⋊5C4 = C2×D7×C4⋊C4φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7):5C4448,954
(C2×C4×D7)⋊6C4 = C2×C4⋊C47D7φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7):6C4448,955
(C2×C4×D7)⋊7C4 = D7×C42⋊C2φ: C4/C2C2 ⊆ Out C2×C4×D7112(C2xC4xD7):7C4448,973
(C2×C4×D7)⋊8C4 = D7×C2.C42φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7):8C4448,197
(C2×C4×D7)⋊9C4 = C22.58(D4×D7)φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7):9C4448,198
(C2×C4×D7)⋊10C4 = D14⋊C42φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7):10C4448,200
(C2×C4×D7)⋊11C4 = D14⋊(C4⋊C4)φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7):11C4448,201
(C2×C4×D7)⋊12C4 = C4×D14⋊C4φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7):12C4448,472
(C2×C4×D7)⋊13C4 = C2×C42⋊D7φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7):13C4448,925

Non-split extensions G=N.Q with N=C2×C4×D7 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C4×D7).1C4 = M5(2)⋊D7φ: C4/C1C4 ⊆ Out C2×C4×D71124(C2xC4xD7).1C4448,71
(C2×C4×D7).2C4 = D7×C4.10D4φ: C4/C1C4 ⊆ Out C2×C4×D71128-(C2xC4xD7).2C4448,284
(C2×C4×D7).3C4 = M4(2).21D14φ: C4/C1C4 ⊆ Out C2×C4×D71128+(C2xC4xD7).3C4448,285
(C2×C4×D7).4C4 = M4(2).31D14φ: C4/C1C4 ⊆ Out C2×C4×D71124(C2xC4xD7).4C4448,666
(C2×C4×D7).5C4 = D7×C4⋊C8φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).5C4448,366
(C2×C4×D7).6C4 = C42.200D14φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).6C4448,367
(C2×C4×D7).7C4 = C28⋊M4(2)φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).7C4448,371
(C2×C4×D7).8C4 = D7×M5(2)φ: C4/C2C2 ⊆ Out C2×C4×D71124(C2xC4xD7).8C4448,440
(C2×C4×D7).9C4 = D146M4(2)φ: C4/C2C2 ⊆ Out C2×C4×D7112(C2xC4xD7).9C4448,660
(C2×C4×D7).10C4 = C2×D7×M4(2)φ: C4/C2C2 ⊆ Out C2×C4×D7112(C2xC4xD7).10C4448,1196
(C2×C4×D7).11C4 = D14⋊C16φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).11C4448,64
(C2×C4×D7).12C4 = C42.282D14φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).12C4448,219
(C2×C4×D7).13C4 = C4×C8⋊D7φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).13C4448,221
(C2×C4×D7).14C4 = D7×C8⋊C4φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).14C4448,238
(C2×C4×D7).15C4 = C42.182D14φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).15C4448,239
(C2×C4×D7).16C4 = Dic7.C42φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).16C4448,241
(C2×C4×D7).17C4 = D7×C22⋊C8φ: C4/C2C2 ⊆ Out C2×C4×D7112(C2xC4xD7).17C4448,258
(C2×C4×D7).18C4 = D14⋊M4(2)φ: C4/C2C2 ⊆ Out C2×C4×D7112(C2xC4xD7).18C4448,260
(C2×C4×D7).19C4 = C42.202D14φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).19C4448,369
(C2×C4×D7).20C4 = C2×C16⋊D7φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).20C4448,434
(C2×C4×D7).21C4 = C2×D14⋊C8φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).21C4448,642
(C2×C4×D7).22C4 = C22×C8⋊D7φ: C4/C2C2 ⊆ Out C2×C4×D7224(C2xC4xD7).22C4448,1190
(C2×C4×D7).23C4 = D7×C4×C8φ: trivial image224(C2xC4xD7).23C4448,218
(C2×C4×D7).24C4 = D7×C2×C16φ: trivial image224(C2xC4xD7).24C4448,433
(C2×C4×D7).25C4 = D7×C22×C8φ: trivial image224(C2xC4xD7).25C4448,1189

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