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

Direct product G=N×Q with N=C4×C28 and Q=C4
dρLabelID
C42×C28448C4^2xC28448,782

Semidirect products G=N:Q with N=C4×C28 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C4×C28)⋊1C4 = C42⋊Dic7φ: C4/C1 → C4 ⊆ Aut C4×C281124(C4xC28):1C4448,88
(C4×C28)⋊2C4 = C42⋊2Dic7φ: C4/C1 → C4 ⊆ Aut C4×C281124(C4xC28):2C4448,98
(C4×C28)⋊3C4 = C42⋊3Dic7φ: C4/C1 → C4 ⊆ Aut C4×C28564(C4xC28):3C4448,102
(C4×C28)⋊4C4 = C7×C4.9C42φ: C4/C1 → C4 ⊆ Aut C4×C281124(C4xC28):4C4448,141
(C4×C28)⋊5C4 = C7×C42⋊C4φ: C4/C1 → C4 ⊆ Aut C4×C28564(C4xC28):5C4448,157
(C4×C28)⋊6C4 = C7×C42⋊3C4φ: C4/C1 → C4 ⊆ Aut C4×C281124(C4xC28):6C4448,158
(C4×C28)⋊7C4 = C42⋊5Dic7φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):7C4448,471
(C4×C28)⋊8C4 = C7×C42⋊4C4φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):8C4448,784
(C4×C28)⋊9C4 = C7×C42⋊5C4φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):9C4448,791
(C4×C28)⋊10C4 = C42⋊8Dic7φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):10C4448,469
(C4×C28)⋊11C4 = C42⋊9Dic7φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):11C4448,470
(C4×C28)⋊12C4 = C28.8C42φ: C4/C2 → C2 ⊆ Aut C4×C28112(C4xC28):12C4448,80
(C4×C28)⋊13C4 = C4×C4⋊Dic7φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):13C4448,468
(C4×C28)⋊14C4 = C42×Dic7φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):14C4448,464
(C4×C28)⋊15C4 = C42⋊4Dic7φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):15C4448,466
(C4×C28)⋊16C4 = C7×C42⋊6C4φ: C4/C2 → C2 ⊆ Aut C4×C28112(C4xC28):16C4448,143
(C4×C28)⋊17C4 = C4⋊C4×C28φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):17C4448,786
(C4×C28)⋊18C4 = C7×C42⋊8C4φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):18C4448,790
(C4×C28)⋊19C4 = C7×C42⋊9C4φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28):19C4448,792

Non-split extensions G=N.Q with N=C4×C28 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C4×C28).1C4 = C28.15C42φ: C4/C1 → C4 ⊆ Aut C4×C281124(C4xC28).1C4448,23
(C4×C28).2C4 = C42.Dic7φ: C4/C1 → C4 ⊆ Aut C4×C281124(C4xC28).2C4448,99
(C4×C28).3C4 = C42.3Dic7φ: C4/C1 → C4 ⊆ Aut C4×C281124(C4xC28).3C4448,105
(C4×C28).4C4 = C7×C16⋊C4φ: C4/C1 → C4 ⊆ Aut C4×C281124(C4xC28).4C4448,151
(C4×C28).5C4 = C7×C42.C4φ: C4/C1 → C4 ⊆ Aut C4×C281124(C4xC28).5C4448,159
(C4×C28).6C4 = C7×C42.3C4φ: C4/C1 → C4 ⊆ Aut C4×C281124(C4xC28).6C4448,160
(C4×C28).7C4 = C7×C16⋊5C4φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28).7C4448,150
(C4×C28).8C4 = C14×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28).8C4448,811
(C4×C28).9C4 = C7×C42.12C4φ: C4/C2 → C2 ⊆ Aut C4×C28224(C4xC28).9C4448,839
(C4×C28).10C4 = C7×C42.6C4φ: C4/C2 → C2 ⊆ Aut C4×C28224(C4xC28).10C4448,840
(C4×C28).11C4 = C28⋊7M4(2)φ: C4/C2 → C2 ⊆ Aut C4×C28224(C4xC28).11C4448,458
(C4×C28).12C4 = C42.7Dic7φ: C4/C2 → C2 ⊆ Aut C4×C28224(C4xC28).12C4448,460
(C4×C28).13C4 = C28⋊C16φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28).13C4448,19
(C4×C28).14C4 = C56.16Q8φ: C4/C2 → C2 ⊆ Aut C4×C281122(C4xC28).14C4448,20
(C4×C28).15C4 = C4×C4.Dic7φ: C4/C2 → C2 ⊆ Aut C4×C28224(C4xC28).15C4448,456
(C4×C28).16C4 = C2×C28⋊C8φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28).16C4448,457
(C4×C28).17C4 = C4×C7⋊C16φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28).17C4448,17
(C4×C28).18C4 = C56.C8φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28).18C4448,18
(C4×C28).19C4 = C2×C4×C7⋊C8φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28).19C4448,454
(C4×C28).20C4 = C2×C42.D7φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28).20C4448,455
(C4×C28).21C4 = C42.6Dic7φ: C4/C2 → C2 ⊆ Aut C4×C28224(C4xC28).21C4448,459
(C4×C28).22C4 = C7×C4⋊C16φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28).22C4448,167
(C4×C28).23C4 = C7×C8.C8φ: C4/C2 → C2 ⊆ Aut C4×C281122(C4xC28).23C4448,168
(C4×C28).24C4 = M4(2)×C28φ: C4/C2 → C2 ⊆ Aut C4×C28224(C4xC28).24C4448,812
(C4×C28).25C4 = C14×C4⋊C8φ: C4/C2 → C2 ⊆ Aut C4×C28448(C4xC28).25C4448,830
(C4×C28).26C4 = C7×C4⋊M4(2)φ: C4/C2 → C2 ⊆ Aut C4×C28224(C4xC28).26C4448,831

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