# Extensions 1→N→G→Q→1 with N=D4×D7 and Q=C22

Direct product G=N×Q with N=D4×D7 and Q=C22
dρLabelID
C22×D4×D7112C2^2xD4xD7448,1369

Semidirect products G=N:Q with N=D4×D7 and Q=C22
extensionφ:Q→Out NdρLabelID
(D4×D7)⋊1C22 = D813D14φ: C22/C1C22 ⊆ Out D4×D71124(D4xD7):1C2^2448,1210
(D4×D7)⋊2C22 = D815D14φ: C22/C1C22 ⊆ Out D4×D71124+(D4xD7):2C2^2448,1222
(D4×D7)⋊3C22 = D85D14φ: C22/C1C22 ⊆ Out D4×D71128+(D4xD7):3C2^2448,1227
(D4×D7)⋊4C22 = C2×D7×D8φ: C22/C2C2 ⊆ Out D4×D7112(D4xD7):4C2^2448,1207
(D4×D7)⋊5C22 = C2×D8⋊D7φ: C22/C2C2 ⊆ Out D4×D7112(D4xD7):5C2^2448,1208
(D4×D7)⋊6C22 = C2×D56⋊C2φ: C22/C2C2 ⊆ Out D4×D7112(D4xD7):6C2^2448,1212
(D4×D7)⋊7C22 = D810D14φ: C22/C2C2 ⊆ Out D4×D71124(D4xD7):7C2^2448,1221
(D4×D7)⋊8C22 = D7×C8⋊C22φ: C22/C2C2 ⊆ Out D4×D7568+(D4xD7):8C2^2448,1225
(D4×D7)⋊9C22 = SD16⋊D14φ: C22/C2C2 ⊆ Out D4×D71128-(D4xD7):9C2^2448,1226
(D4×D7)⋊10C22 = D56⋊C22φ: C22/C2C2 ⊆ Out D4×D71128+(D4xD7):10C2^2448,1230
(D4×D7)⋊11C22 = C2×D46D14φ: C22/C2C2 ⊆ Out D4×D7112(D4xD7):11C2^2448,1371
(D4×D7)⋊12C22 = C2×D48D14φ: C22/C2C2 ⊆ Out D4×D7112(D4xD7):12C2^2448,1376
(D4×D7)⋊13C22 = C14.C25φ: C22/C2C2 ⊆ Out D4×D71124(D4xD7):13C2^2448,1378
(D4×D7)⋊14C22 = D14.C24φ: C22/C2C2 ⊆ Out D4×D71128-(D4xD7):14C2^2448,1380
(D4×D7)⋊15C22 = D28.39C23φ: C22/C2C2 ⊆ Out D4×D71128+(D4xD7):15C2^2448,1382
(D4×D7)⋊16C22 = C2×D7×C4○D4φ: trivial image112(D4xD7):16C2^2448,1375
(D4×D7)⋊17C22 = D7×2+ 1+4φ: trivial image568+(D4xD7):17C2^2448,1379

Non-split extensions G=N.Q with N=D4×D7 and Q=C22
extensionφ:Q→Out NdρLabelID
(D4×D7).1C22 = D28.29D4φ: C22/C1C22 ⊆ Out D4×D71124(D4xD7).1C2^2448,1215
(D4×D7).2C22 = D811D14φ: C22/C1C22 ⊆ Out D4×D71124(D4xD7).2C2^2448,1223
(D4×D7).3C22 = D86D14φ: C22/C1C22 ⊆ Out D4×D71128-(D4xD7).3C2^2448,1228
(D4×D7).4C22 = C56.C23φ: C22/C1C22 ⊆ Out D4×D71128+(D4xD7).4C2^2448,1231
(D4×D7).5C22 = C2×D7×SD16φ: C22/C2C2 ⊆ Out D4×D7112(D4xD7).5C2^2448,1211
(D4×D7).6C22 = D7×C4○D8φ: C22/C2C2 ⊆ Out D4×D71124(D4xD7).6C2^2448,1220
(D4×D7).7C22 = D7×C8.C22φ: C22/C2C2 ⊆ Out D4×D71128-(D4xD7).7C2^2448,1229
(D4×D7).8C22 = D7×2- 1+4φ: trivial image1128-(D4xD7).8C2^2448,1381

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