# Extensions 1→N→G→Q→1 with N=Q8×D7 and Q=C22

Direct product G=N×Q with N=Q8×D7 and Q=C22
dρLabelID
C22×Q8×D7224C2^2xQ8xD7448,1372

Semidirect products G=N:Q with N=Q8×D7 and Q=C22
extensionφ:Q→Out NdρLabelID
(Q8×D7)⋊1C22 = D28.29D4φ: C22/C1C22 ⊆ Out Q8×D71124(Q8xD7):1C2^2448,1215
(Q8×D7)⋊2C22 = D811D14φ: C22/C1C22 ⊆ Out Q8×D71124(Q8xD7):2C2^2448,1223
(Q8×D7)⋊3C22 = D86D14φ: C22/C1C22 ⊆ Out Q8×D71128-(Q8xD7):3C2^2448,1228
(Q8×D7)⋊4C22 = C56.C23φ: C22/C1C22 ⊆ Out Q8×D71128+(Q8xD7):4C2^2448,1231
(Q8×D7)⋊5C22 = C2×D7×SD16φ: C22/C2C2 ⊆ Out Q8×D7112(Q8xD7):5C2^2448,1211
(Q8×D7)⋊6C22 = C2×SD16⋊D7φ: C22/C2C2 ⊆ Out Q8×D7224(Q8xD7):6C2^2448,1213
(Q8×D7)⋊7C22 = C2×Q16⋊D7φ: C22/C2C2 ⊆ Out Q8×D7224(Q8xD7):7C2^2448,1217
(Q8×D7)⋊8C22 = D810D14φ: C22/C2C2 ⊆ Out Q8×D71124(Q8xD7):8C2^2448,1221
(Q8×D7)⋊9C22 = D7×C8⋊C22φ: C22/C2C2 ⊆ Out Q8×D7568+(Q8xD7):9C2^2448,1225
(Q8×D7)⋊10C22 = SD16⋊D14φ: C22/C2C2 ⊆ Out Q8×D71128-(Q8xD7):10C2^2448,1226
(Q8×D7)⋊11C22 = D7×C8.C22φ: C22/C2C2 ⊆ Out Q8×D71128-(Q8xD7):11C2^2448,1229
(Q8×D7)⋊12C22 = D56⋊C22φ: C22/C2C2 ⊆ Out Q8×D71128+(Q8xD7):12C2^2448,1230
(Q8×D7)⋊13C22 = C2×Q8.10D14φ: C22/C2C2 ⊆ Out Q8×D7224(Q8xD7):13C2^2448,1374
(Q8×D7)⋊14C22 = C2×D4.10D14φ: C22/C2C2 ⊆ Out Q8×D7224(Q8xD7):14C2^2448,1377
(Q8×D7)⋊15C22 = C14.C25φ: C22/C2C2 ⊆ Out Q8×D71124(Q8xD7):15C2^2448,1378
(Q8×D7)⋊16C22 = D14.C24φ: C22/C2C2 ⊆ Out Q8×D71128-(Q8xD7):16C2^2448,1380
(Q8×D7)⋊17C22 = D7×2- 1+4φ: C22/C2C2 ⊆ Out Q8×D71128-(Q8xD7):17C2^2448,1381
(Q8×D7)⋊18C22 = D28.39C23φ: C22/C2C2 ⊆ Out Q8×D71128+(Q8xD7):18C2^2448,1382
(Q8×D7)⋊19C22 = C2×D7×C4○D4φ: trivial image112(Q8xD7):19C2^2448,1375
(Q8×D7)⋊20C22 = D7×2+ 1+4φ: trivial image568+(Q8xD7):20C2^2448,1379

Non-split extensions G=N.Q with N=Q8×D7 and Q=C22
extensionφ:Q→Out NdρLabelID
(Q8×D7).1C22 = D28.30D4φ: C22/C1C22 ⊆ Out Q8×D72244(Q8xD7).1C2^2448,1219
(Q8×D7).2C22 = D8.10D14φ: C22/C1C22 ⊆ Out Q8×D72244-(Q8xD7).2C2^2448,1224
(Q8×D7).3C22 = D28.44D4φ: C22/C1C22 ⊆ Out Q8×D72248-(Q8xD7).3C2^2448,1232
(Q8×D7).4C22 = C2×D7×Q16φ: C22/C2C2 ⊆ Out Q8×D7224(Q8xD7).4C2^2448,1216
(Q8×D7).5C22 = D7×C4○D8φ: C22/C2C2 ⊆ Out Q8×D71124(Q8xD7).5C2^2448,1220

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