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Extensions 1→N→G→Q→1 with N=C23×C28 and Q=C2

Direct product G=N×Q with N=C23×C28 and Q=C2
dρLabelID
C24×C28448C2^4xC28448,1385

Semidirect products G=N:Q with N=C23×C28 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C23×C28)⋊1C2 = C23.28D28φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):1C2448,747
(C23×C28)⋊2C2 = C7×C23.23D4φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):2C2448,794
(C23×C28)⋊3C2 = C22×D14⋊C4φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):3C2448,1240
(C23×C28)⋊4C2 = C2×C23.23D14φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):4C2448,1242
(C23×C28)⋊5C2 = C22⋊C4×C2×C14φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):5C2448,1295
(C23×C28)⋊6C2 = D4×C2×C28φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):6C2448,1298
(C23×C28)⋊7C2 = C14×C22.D4φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):7C2448,1307
(C23×C28)⋊8C2 = C2×C28⋊7D4φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):8C2448,1243
(C23×C28)⋊9C2 = C23×D28φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):9C2448,1367
(C23×C28)⋊10C2 = C24.72D14φ: C2/C1 → C2 ⊆ Aut C23×C28112(C2^3xC28):10C2448,1244
(C23×C28)⋊11C2 = C22×C4○D28φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):11C2448,1368
(C23×C28)⋊12C2 = C2×C4×C7⋊D4φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):12C2448,1241
(C23×C28)⋊13C2 = D7×C23×C4φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):13C2448,1366
(C23×C28)⋊14C2 = C14×C4⋊D4φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):14C2448,1305
(C23×C28)⋊15C2 = C7×C22.19C24φ: C2/C1 → C2 ⊆ Aut C23×C28112(C2^3xC28):15C2448,1308
(C23×C28)⋊16C2 = D4×C22×C14φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):16C2448,1386
(C23×C28)⋊17C2 = C4○D4×C2×C14φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28):17C2448,1388

Non-split extensions G=N.Q with N=C23×C28 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C23×C28).1C2 = C2×C14.C42φ: C2/C1 → C2 ⊆ Aut C23×C28448(C2^3xC28).1C2448,742
(C23×C28).2C2 = C24.62D14φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).2C2448,744
(C23×C28).3C2 = C24.63D14φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).3C2448,745
(C23×C28).4C2 = C14×C2.C42φ: C2/C1 → C2 ⊆ Aut C23×C28448(C2^3xC28).4C2448,783
(C23×C28).5C2 = C22⋊C4×C28φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).5C2448,785
(C23×C28).6C2 = C7×C23.34D4φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).6C2448,789
(C23×C28).7C2 = C7×C23.8Q8φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).7C2448,793
(C23×C28).8C2 = C14×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).8C2448,814
(C23×C28).9C2 = C22×Dic7⋊C4φ: C2/C1 → C2 ⊆ Aut C23×C28448(C2^3xC28).9C2448,1236
(C23×C28).10C2 = C4⋊C4×C2×C14φ: C2/C1 → C2 ⊆ Aut C23×C28448(C2^3xC28).10C2448,1296
(C23×C28).11C2 = C23.27D28φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).11C2448,746
(C23×C28).12C2 = C2×C28.48D4φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).12C2448,1237
(C23×C28).13C2 = C22×C4⋊Dic7φ: C2/C1 → C2 ⊆ Aut C23×C28448(C2^3xC28).13C2448,1238
(C23×C28).14C2 = C23×Dic14φ: C2/C1 → C2 ⊆ Aut C23×C28448(C2^3xC28).14C2448,1365
(C23×C28).15C2 = C24.4Dic7φ: C2/C1 → C2 ⊆ Aut C23×C28112(C2^3xC28).15C2448,741
(C23×C28).16C2 = C22×C4.Dic7φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).16C2448,1234
(C23×C28).17C2 = C2×C23.21D14φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).17C2448,1239
(C23×C28).18C2 = C2×C28.55D4φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).18C2448,740
(C23×C28).19C2 = C4×C23.D7φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).19C2448,743
(C23×C28).20C2 = C23×C7⋊C8φ: C2/C1 → C2 ⊆ Aut C23×C28448(C2^3xC28).20C2448,1233
(C23×C28).21C2 = C22×C4×Dic7φ: C2/C1 → C2 ⊆ Aut C23×C28448(C2^3xC28).21C2448,1235
(C23×C28).22C2 = C7×C23.7Q8φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).22C2448,788
(C23×C28).23C2 = C7×C24.4C4φ: C2/C1 → C2 ⊆ Aut C23×C28112(C2^3xC28).23C2448,815
(C23×C28).24C2 = C14×C42⋊C2φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).24C2448,1297
(C23×C28).25C2 = C14×C22⋊Q8φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).25C2448,1306
(C23×C28).26C2 = M4(2)×C2×C14φ: C2/C1 → C2 ⊆ Aut C23×C28224(C2^3xC28).26C2448,1349
(C23×C28).27C2 = Q8×C22×C14φ: C2/C1 → C2 ⊆ Aut C23×C28448(C2^3xC28).27C2448,1387

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