Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₂⁴

Direct product G=N×Q with N=C₂₈ and Q=C₂⁴

		d	ρ	Label	ID
C₂⁴×C₂₈		448		C2^4xC28	448,1385

Semidirect products G=N:Q with N=C₂₈ and Q=C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂₈⋊C₂⁴ = C₂²×D₄×D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	C28:C2^4	448,1369
C₂₈⋊₂C₂⁴ = C₂³×D₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224	C28:2C2^4	448,1367
C₂₈⋊₃C₂⁴ = D₇×C₂³×C₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224	C28:3C2^4	448,1366
C₂₈⋊₄C₂⁴ = D₄×C₂²×C₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224	C28:4C2^4	448,1386

Non-split extensions G=N.Q with N=C₂₈ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁C₂⁴ = C₂×D₇×D₈	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112		C28.1C2^4	448,1207
C₂₈.₂C₂⁴ = C₂×D₈⋊D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112		C28.2C2^4	448,1208
C₂₈.₃C₂⁴ = C₂×D₈⋊₃D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.3C2^4	448,1209
C₂₈.₄C₂⁴ = D₈⋊₁₃D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	4	C28.4C2^4	448,1210
C₂₈.₅C₂⁴ = C₂×D₇×SD₁₆	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112		C28.5C2^4	448,1211
C₂₈.₆C₂⁴ = C₂×D₅₆⋊C₂	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112		C28.6C2^4	448,1212
C₂₈.₇C₂⁴ = C₂×SD₁₆⋊D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.7C2^4	448,1213
C₂₈.₈C₂⁴ = C₂×SD₁₆⋊₃D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.8C2^4	448,1214
C₂₈.₉C₂⁴ = D₂₈.₂₉D₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	4	C28.9C2^4	448,1215
C₂₈.₁₀C₂⁴ = C₂×D₇×Q₁₆	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.10C2^4	448,1216
C₂₈.₁₁C₂⁴ = C₂×Q₁₆⋊D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.11C2^4	448,1217
C₂₈.₁₂C₂⁴ = C₂×Q₈.D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.12C2^4	448,1218
C₂₈.₁₃C₂⁴ = D₂₈.₃₀D₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224	4	C28.13C2^4	448,1219
C₂₈.₁₄C₂⁴ = D₇×C₄○D₈	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	4	C28.14C2^4	448,1220
C₂₈.₁₅C₂⁴ = D₈⋊₁₀D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	4	C28.15C2^4	448,1221
C₂₈.₁₆C₂⁴ = D₈⋊₁₅D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	4+	C28.16C2^4	448,1222
C₂₈.₁₇C₂⁴ = D₈⋊₁₁D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	4	C28.17C2^4	448,1223
C₂₈.₁₈C₂⁴ = D₈.₁₀D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224	4-	C28.18C2^4	448,1224
C₂₈.₁₉C₂⁴ = D₇×C₈⋊C₂²	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	56	8+	C28.19C2^4	448,1225
C₂₈.₂₀C₂⁴ = SD₁₆⋊D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8-	C28.20C2^4	448,1226
C₂₈.₂₁C₂⁴ = D₈⋊₅D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8+	C28.21C2^4	448,1227
C₂₈.₂₂C₂⁴ = D₈⋊₆D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8-	C28.22C2^4	448,1228
C₂₈.₂₃C₂⁴ = D₇×C₈.C₂²	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8-	C28.23C2^4	448,1229
C₂₈.₂₄C₂⁴ = D₅₆⋊C₂²	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8+	C28.24C2^4	448,1230
C₂₈.₂₅C₂⁴ = C₅₆.C₂³	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8+	C28.25C2^4	448,1231
C₂₈.₂₆C₂⁴ = D₂₈.₄₄D₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224	8-	C28.26C2^4	448,1232
C₂₈.₂₇C₂⁴ = C₂²×D₄⋊D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.27C2^4	448,1245
C₂₈.₂₈C₂⁴ = C₂×D₄.D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112		C28.28C2^4	448,1246
C₂₈.₂₉C₂⁴ = C₂²×D₄.D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.29C2^4	448,1247
C₂₈.₃₀C₂⁴ = C₂²×Q₈⋊D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.30C2^4	448,1260
C₂₈.₃₁C₂⁴ = C₂×C₂₈.C₂³	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.31C2^4	448,1261
C₂₈.₃₂C₂⁴ = C₂²×C₇⋊Q₁₆	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	448		C28.32C2^4	448,1262
C₂₈.₃₃C₂⁴ = C₂×D₄⋊D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112		C28.33C2^4	448,1273
C₂₈.₃₄C₂⁴ = C₂×D₄.₈D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.34C2^4	448,1274
C₂₈.₃₅C₂⁴ = C₂₈.C₂⁴	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	4	C28.35C2^4	448,1275
C₂₈.₃₆C₂⁴ = C₂×D₄.₉D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.36C2^4	448,1276
C₂₈.₃₇C₂⁴ = D₂₈.₃₂C₂³	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8+	C28.37C2^4	448,1288
C₂₈.₃₈C₂⁴ = D₂₈.₃₃C₂³	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8-	C28.38C2^4	448,1289
C₂₈.₃₉C₂⁴ = D₂₈.₃₄C₂³	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8+	C28.39C2^4	448,1290
C₂₈.₄₀C₂⁴ = D₂₈.₃₅C₂³	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224	8-	C28.40C2^4	448,1291
C₂₈.₄₁C₂⁴ = C₂²×D₄⋊₂D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.41C2^4	448,1370
C₂₈.₄₂C₂⁴ = C₂×D₄⋊₆D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112		C28.42C2^4	448,1371
C₂₈.₄₃C₂⁴ = C₂²×Q₈×D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.43C2^4	448,1372
C₂₈.₄₄C₂⁴ = C₂²×Q₈⋊₂D₇	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.44C2^4	448,1373
C₂₈.₄₅C₂⁴ = C₂×Q₈.₁₀D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.45C2^4	448,1374
C₂₈.₄₆C₂⁴ = C₂×D₇×C₄○D₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112		C28.46C2^4	448,1375
C₂₈.₄₇C₂⁴ = C₂×D₄⋊₈D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112		C28.47C2^4	448,1376
C₂₈.₄₈C₂⁴ = C₂×D₄.₁₀D₁₄	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	224		C28.48C2^4	448,1377
C₂₈.₄₉C₂⁴ = C₁₄.C₂⁵	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	4	C28.49C2^4	448,1378
C₂₈.₅₀C₂⁴ = D₇×2₊¹⁺⁴	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	56	8+	C28.50C2^4	448,1379
C₂₈.₅₁C₂⁴ = D₁₄.C₂⁴	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8-	C28.51C2^4	448,1380
C₂₈.₅₂C₂⁴ = D₇×2_-¹⁺⁴	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8-	C28.52C2^4	448,1381
C₂₈.₅₃C₂⁴ = D₂₈.₃₉C₂³	φ: C₂⁴/C₂² → C₂² ⊆ Aut C₂₈	112	8+	C28.53C2^4	448,1382
C₂₈.₅₄C₂⁴ = C₂²×C₅₆⋊C₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.54C2^4	448,1192
C₂₈.₅₅C₂⁴ = C₂²×D₅₆	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.55C2^4	448,1193
C₂₈.₅₆C₂⁴ = C₂×D₅₆⋊₇C₂	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.56C2^4	448,1194
C₂₈.₅₇C₂⁴ = C₂²×Dic₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	448		C28.57C2^4	448,1195
C₂₈.₅₈C₂⁴ = C₂×C₈⋊D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112		C28.58C2^4	448,1199
C₂₈.₅₉C₂⁴ = C₂×C₈.D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.59C2^4	448,1200
C₂₈.₆₀C₂⁴ = C₅₆.₉C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112	4	C28.60C2^4	448,1201
C₂₈.₆₁C₂⁴ = D₄.₁₁D₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112	4	C28.61C2^4	448,1204
C₂₈.₆₂C₂⁴ = D₄.₁₂D₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112	4+	C28.62C2^4	448,1205
C₂₈.₆₃C₂⁴ = D₄.₁₃D₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224	4-	C28.63C2^4	448,1206
C₂₈.₆₄C₂⁴ = C₂³×Dic₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	448		C28.64C2^4	448,1365
C₂₈.₆₅C₂⁴ = D₇×C₂²×C₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.65C2^4	448,1189
C₂₈.₆₆C₂⁴ = C₂²×C₈⋊D₇	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.66C2^4	448,1190
C₂₈.₆₇C₂⁴ = C₂×D₂₈.₂C₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.67C2^4	448,1191
C₂₈.₆₈C₂⁴ = C₂×D₇×M₄(2)	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112		C28.68C2^4	448,1196
C₂₈.₆₉C₂⁴ = C₂×D₂₈.C₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.69C2^4	448,1197
C₂₈.₇₀C₂⁴ = C₂₈.₇₀C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112	4	C28.70C2^4	448,1198
C₂₈.₇₁C₂⁴ = D₇×C₈○D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112	4	C28.71C2^4	448,1202
C₂₈.₇₂C₂⁴ = C₅₆.₄₉C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112	4	C28.72C2^4	448,1203
C₂₈.₇₃C₂⁴ = C₂³×C₇⋊C₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	448		C28.73C2^4	448,1233
C₂₈.₇₄C₂⁴ = C₂²×C₄.Dic₇	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.74C2^4	448,1234
C₂₈.₇₅C₂⁴ = C₂×Q₈.Dic₇	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.75C2^4	448,1271
C₂₈.₇₆C₂⁴ = C₂₈.₇₆C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112	4	C28.76C2^4	448,1272
C₂₈.₇₇C₂⁴ = C₂²×C₄○D₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.77C2^4	448,1368
C₂₈.₇₈C₂⁴ = D₈×C₂×C₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.78C2^4	448,1352
C₂₈.₇₉C₂⁴ = SD₁₆×C₂×C₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.79C2^4	448,1353
C₂₈.₈₀C₂⁴ = Q₁₆×C₂×C₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	448		C28.80C2^4	448,1354
C₂₈.₈₁C₂⁴ = C₁₄×C₄○D₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.81C2^4	448,1355
C₂₈.₈₂C₂⁴ = C₁₄×C₈⋊C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112		C28.82C2^4	448,1356
C₂₈.₈₃C₂⁴ = C₁₄×C₈.C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.83C2^4	448,1357
C₂₈.₈₄C₂⁴ = C₇×D₈⋊C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112	4	C28.84C2^4	448,1358
C₂₈.₈₅C₂⁴ = C₇×D₄○D₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112	4	C28.85C2^4	448,1359
C₂₈.₈₆C₂⁴ = C₇×D₄○SD₁₆	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112	4	C28.86C2^4	448,1360
C₂₈.₈₇C₂⁴ = C₇×Q₈○D₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224	4	C28.87C2^4	448,1361
C₂₈.₈₈C₂⁴ = Q₈×C₂²×C₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	448		C28.88C2^4	448,1387
C₂₈.₈₉C₂⁴ = C₄○D₄×C₂×C₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.89C2^4	448,1388
C₂₈.₉₀C₂⁴ = C₁₄×2₊¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	112		C28.90C2^4	448,1389
C₂₈.₉₁C₂⁴ = C₁₄×2_-¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂₈	224		C28.91C2^4	448,1390
C₂₈.₉₂C₂⁴ = M₄(2)×C₂×C₁₄	central extension (φ=1)	224		C28.92C2^4	448,1349
C₂₈.₉₃C₂⁴ = C₁₄×C₈○D₄	central extension (φ=1)	224		C28.93C2^4	448,1350
C₂₈.₉₄C₂⁴ = C₇×Q₈○M₄(2)	central extension (φ=1)	112	4	C28.94C2^4	448,1351
C₂₈.₉₅C₂⁴ = C₇×C₂.C₂⁵	central extension (φ=1)	112	4	C28.95C2^4	448,1391

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Extensions 1→N→G→Q→1 with N=C28 and Q=C24

Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₂⁴