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Extensions 1→N→G→Q→1 with N=C22×C28 and Q=C4

Direct product G=N×Q with N=C22×C28 and Q=C4
dρLabelID
C22×C4×C28448C2^2xC4xC28448,1294

Semidirect products G=N:Q with N=C22×C28 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C28)⋊1C4 = C24.D14φ: C4/C1 → C4 ⊆ Aut C22×C28112(C2^2xC28):1C4448,83
(C22×C28)⋊2C4 = (C22×C28)⋊C4φ: C4/C1 → C4 ⊆ Aut C22×C281124(C2^2xC28):2C4448,96
(C22×C28)⋊3C4 = C7×C23.9D4φ: C4/C1 → C4 ⊆ Aut C22×C28112(C2^2xC28):3C4448,146
(C22×C28)⋊4C4 = C7×C23.D4φ: C4/C1 → C4 ⊆ Aut C22×C281124(C2^2xC28):4C4448,156
(C22×C28)⋊5C4 = (D4×C14)⋊10C4φ: C4/C1 → C4 ⊆ Aut C22×C281124(C2^2xC28):5C4448,774
(C22×C28)⋊6C4 = C2×C23⋊Dic7φ: C4/C1 → C4 ⊆ Aut C22×C28112(C2^2xC28):6C4448,753
(C22×C28)⋊7C4 = C14×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C22×C28112(C2^2xC28):7C4448,817
(C22×C28)⋊8C4 = C7×C23.C23φ: C4/C1 → C4 ⊆ Aut C22×C281124(C2^2xC28):8C4448,818
(C22×C28)⋊9C4 = C2×C14.C42φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28):9C4448,742
(C22×C28)⋊10C4 = C24.63D14φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28):10C4448,745
(C22×C28)⋊11C4 = C14×C2.C42φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28):11C4448,783
(C22×C28)⋊12C4 = C22⋊C4×C28φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28):12C4448,785
(C22×C28)⋊13C4 = C7×C23.34D4φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28):13C4448,789
(C22×C28)⋊14C4 = C23.27D28φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28):14C4448,746
(C22×C28)⋊15C4 = C22×C4⋊Dic7φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28):15C4448,1238
(C22×C28)⋊16C4 = C2×C23.21D14φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28):16C4448,1239
(C22×C28)⋊17C4 = C4×C23.D7φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28):17C4448,743
(C22×C28)⋊18C4 = C22×C4×Dic7φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28):18C4448,1235
(C22×C28)⋊19C4 = C7×C23.7Q8φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28):19C4448,788
(C22×C28)⋊20C4 = C4⋊C4×C2×C14φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28):20C4448,1296
(C22×C28)⋊21C4 = C14×C42⋊C2φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28):21C4448,1297

Non-split extensions G=N.Q with N=C22×C28 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C28).1C4 = C24.Dic7φ: C4/C1 → C4 ⊆ Aut C22×C28112(C2^2xC28).1C4448,82
(C22×C28).2C4 = (C2×C28)⋊C8φ: C4/C1 → C4 ⊆ Aut C22×C28224(C2^2xC28).2C4448,85
(C22×C28).3C4 = C28.(C4⋊C4)φ: C4/C1 → C4 ⊆ Aut C22×C28224(C2^2xC28).3C4448,87
(C22×C28).4C4 = C7×C23⋊C8φ: C4/C1 → C4 ⊆ Aut C22×C28112(C2^2xC28).4C4448,127
(C22×C28).5C4 = C7×C22.M4(2)φ: C4/C1 → C4 ⊆ Aut C22×C28224(C2^2xC28).5C4448,128
(C22×C28).6C4 = C7×C22.C42φ: C4/C1 → C4 ⊆ Aut C22×C28224(C2^2xC28).6C4448,147
(C22×C28).7C4 = C56.D4φ: C4/C1 → C4 ⊆ Aut C22×C281124(C2^2xC28).7C4448,110
(C22×C28).8C4 = (D4×C14).16C4φ: C4/C1 → C4 ⊆ Aut C22×C281124(C2^2xC28).8C4448,771
(C22×C28).9C4 = C7×C23.C8φ: C4/C1 → C4 ⊆ Aut C22×C281124(C2^2xC28).9C4448,153
(C22×C28).10C4 = C2×C28.10D4φ: C4/C1 → C4 ⊆ Aut C22×C28224(C2^2xC28).10C4448,760
(C22×C28).11C4 = C14×C4.10D4φ: C4/C1 → C4 ⊆ Aut C22×C28224(C2^2xC28).11C4448,820
(C22×C28).12C4 = C7×M4(2).8C22φ: C4/C1 → C4 ⊆ Aut C22×C281124(C2^2xC28).12C4448,821
(C22×C28).13C4 = (C2×C28)⋊3C8φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28).13C4448,81
(C22×C28).14C4 = C7×C22.7C42φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28).14C4448,140
(C22×C28).15C4 = C7×C22⋊C16φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).15C4448,152
(C22×C28).16C4 = C2×C42.D7φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28).16C4448,455
(C22×C28).17C4 = C14×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28).17C4448,811
(C22×C28).18C4 = M4(2)×C28φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).18C4448,812
(C22×C28).19C4 = C14×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).19C4448,814
(C22×C28).20C4 = C7×C24.4C4φ: C4/C2 → C2 ⊆ Aut C22×C28112(C2^2xC28).20C4448,815
(C22×C28).21C4 = C14×C4⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28).21C4448,830
(C22×C28).22C4 = C2×C28⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28).22C4448,457
(C22×C28).23C4 = C28⋊7M4(2)φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).23C4448,458
(C22×C28).24C4 = C42.7Dic7φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).24C4448,460
(C22×C28).25C4 = C24.4Dic7φ: C4/C2 → C2 ⊆ Aut C22×C28112(C2^2xC28).25C4448,741
(C22×C28).26C4 = C42.6Dic7φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).26C4448,459
(C22×C28).27C4 = C2×C28.C8φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).27C4448,631
(C22×C28).28C4 = C22×C4.Dic7φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).28C4448,1234
(C22×C28).29C4 = C56.91D4φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).29C4448,106
(C22×C28).30C4 = C2×C4×C7⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28).30C4448,454
(C22×C28).31C4 = C4×C4.Dic7φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).31C4448,456
(C22×C28).32C4 = C22×C7⋊C16φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28).32C4448,630
(C22×C28).33C4 = C2×C28.55D4φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).33C4448,740
(C22×C28).34C4 = C23×C7⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C28448(C2^2xC28).34C4448,1233
(C22×C28).35C4 = C7×C4⋊M4(2)φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).35C4448,831
(C22×C28).36C4 = C7×C42.12C4φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).36C4448,839
(C22×C28).37C4 = C7×C42.6C4φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).37C4448,840
(C22×C28).38C4 = C14×M5(2)φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).38C4448,911
(C22×C28).39C4 = M4(2)×C2×C14φ: C4/C2 → C2 ⊆ Aut C22×C28224(C2^2xC28).39C4448,1349

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