Extensions 1→N→G→Q→1 with N=C₂³.Q₈ and Q=C₂

Direct product G=NxQ with N=C₂³.Q₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₂³.Q₈		64		C2xC2^3.Q8	128,1121

Semidirect products G=N:Q with N=C₂³.Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.Q₈:₁C₂ = C₂³.₃₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:1C2	128,1143
C₂³.Q₈:₂C₂ = C₂³.₃₁₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:2C2	128,1145
C₂³.Q₈:₃C₂ = C₂³.₃₁₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:3C2	128,1148
C₂³.Q₈:₄C₂ = C₂⁴.₂₅₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:4C2	128,1149
C₂³.Q₈:₅C₂ = C₂³.₃₂₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:5C2	128,1156
C₂³.Q₈:₆C₂ = C₂⁴.₂₅₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:6C2	128,1157
C₂³.Q₈:₇C₂ = C₂⁴.₂₅₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:7C2	128,1158
C₂³.Q₈:₈C₂ = C₂⁴:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:8C2	128,1169
C₂³.Q₈:₉C₂ = C₂³.₃₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:9C2	128,1181
C₂³.Q₈:₁₀C₂ = C₂³.₃₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:10C2	128,1182
C₂³.Q₈:₁₁C₂ = C₂³.₃₅₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:11C2	128,1184
C₂³.Q₈:₁₂C₂ = C₂³.₃₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:12C2	128,1186
C₂³.Q₈:₁₃C₂ = C₂³.₃₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:13C2	128,1188
C₂³.Q₈:₁₄C₂ = C₂⁴.₂₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:14C2	128,1189
C₂³.Q₈:₁₅C₂ = C₂³.₃₆₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:15C2	128,1192
C₂³.Q₈:₁₆C₂ = C₂⁴.₂₈₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:16C2	128,1193
C₂³.Q₈:₁₇C₂ = C₂⁴.₂₈₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:17C2	128,1198
C₂³.Q₈:₁₈C₂ = C₂⁴.₂₈₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:18C2	128,1202
C₂³.Q₈:₁₉C₂ = C₂⁴.₂₉₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:19C2	128,1203
C₂³.Q₈:₂₀C₂ = C₂³.₃₇₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:20C2	128,1206
C₂³.Q₈:₂₁C₂ = C₂³.₃₈₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:21C2	128,1212
C₂³.Q₈:₂₂C₂ = C₂⁴.₅₇₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:22C2	128,1213
C₂³.Q₈:₂₃C₂ = C₂³.₄₁₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:23C2	128,1244
C₂³.Q₈:₂₄C₂ = C₂³.₄₁₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:24C2	128,1250
C₂³.Q₈:₂₅C₂ = C₂³.₄₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:25C2	128,1258
C₂³.Q₈:₂₆C₂ = C₂³.₄₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:26C2	128,1266
C₂³.Q₈:₂₇C₂ = C₄².₁₆₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:27C2	128,1270
C₂³.Q₈:₂₈C₂ = C₄².₁₆₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:28C2	128,1277
C₂³.Q₈:₂₉C₂ = C₂⁴.₃₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:29C2	128,1286
C₂³.Q₈:₃₀C₂ = C₂³.₄₅₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:30C2	128,1290
C₂³.Q₈:₃₁C₂ = C₄².₁₇₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:31C2	128,1298
C₂³.Q₈:₃₂C₂ = C₂⁴.₃₄₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:32C2	128,1308
C₂³.Q₈:₃₃C₂ = C₂³.₄₇₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:33C2	128,1311
C₂³.Q₈:₃₄C₂ = C₄²:₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:34C2	128,1333
C₂³.Q₈:₃₅C₂ = C₄²:₂₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:35C2	128,1341
C₂³.Q₈:₃₆C₂ = C₂⁴.₅₈₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:36C2	128,1350
C₂³.Q₈:₃₇C₂ = C₄²:₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:37C2	128,1352
C₂³.Q₈:₃₈C₂ = C₂⁴:₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:38C2	128,1358
C₂³.Q₈:₃₉C₂ = C₂³.₅₃₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:39C2	128,1362
C₂³.Q₈:₄₀C₂ = C₄²:₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:40C2	128,1368
C₂³.Q₈:₄₁C₂ = C₂³.₅₄₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:41C2	128,1375
C₂³.Q₈:₄₂C₂ = C₂³.₅₄₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:42C2	128,1376
C₂³.Q₈:₄₃C₂ = C₂³.₅₄₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:43C2	128,1380
C₂³.Q₈:₄₄C₂ = C₂⁴.₃₇₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:44C2	128,1381
C₂³.Q₈:₄₅C₂ = C₂³.₅₅₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:45C2	128,1383
C₂³.Q₈:₄₆C₂ = C₄²:₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:46C2	128,1394
C₂³.Q₈:₄₇C₂ = C₂³.₅₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:47C2	128,1404
C₂³.Q₈:₄₈C₂ = C₂³.₅₇₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:48C2	128,1406
C₂³.Q₈:₄₉C₂ = C₂⁴.₃₈₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:49C2	128,1407
C₂³.Q₈:₅₀C₂ = C₂³.₅₇₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:50C2	128,1408
C₂³.Q₈:₅₁C₂ = C₂³.₅₇₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:51C2	128,1410
C₂³.Q₈:₅₂C₂ = C₂³.₅₈₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:52C2	128,1413
C₂³.Q₈:₅₃C₂ = C₂⁴.₃₈₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:53C2	128,1414
C₂³.Q₈:₅₄C₂ = C₂³.₅₈₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:54C2	128,1415
C₂³.Q₈:₅₅C₂ = C₂³.₅₈₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:55C2	128,1417
C₂³.Q₈:₅₆C₂ = C₂³.₅₉₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:56C2	128,1423
C₂³.Q₈:₅₇C₂ = C₂³.₅₉₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:57C2	128,1424
C₂³.Q₈:₅₈C₂ = C₂³.₅₉₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:58C2	128,1425
C₂³.Q₈:₅₉C₂ = C₂⁴.₄₀₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:59C2	128,1426
C₂³.Q₈:₆₀C₂ = C₂³.₅₉₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:60C2	128,1427
C₂³.Q₈:₆₁C₂ = C₂³.₅₉₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:61C2	128,1429
C₂³.Q₈:₆₂C₂ = C₂³.₆₀₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:62C2	128,1432
C₂³.Q₈:₆₃C₂ = C₂⁴.₄₀₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:63C2	128,1433
C₂³.Q₈:₆₄C₂ = C₂³.₆₀₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:64C2	128,1434
C₂³.Q₈:₆₅C₂ = C₂³.₆₀₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:65C2	128,1437
C₂³.Q₈:₆₆C₂ = C₂³.₆₀₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:66C2	128,1438
C₂³.Q₈:₆₇C₂ = C₂³.₆₀₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:67C2	128,1439
C₂³.Q₈:₆₈C₂ = C₂³.₆₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:68C2	128,1443
C₂³.Q₈:₆₉C₂ = C₂³.₆₁₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:69C2	128,1447
C₂³.Q₈:₇₀C₂ = C₂³.₆₁₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:70C2	128,1450
C₂³.Q₈:₇₁C₂ = C₂³.₆₂₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:71C2	128,1459
C₂³.Q₈:₇₂C₂ = C₂³.₆₃₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:72C2	128,1462
C₂³.Q₈:₇₃C₂ = C₂³.₆₃₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:73C2	128,1463
C₂³.Q₈:₇₄C₂ = C₂³.₆₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:74C2	128,1464
C₂³.Q₈:₇₅C₂ = C₂³.₆₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:75C2	128,1467
C₂³.Q₈:₇₆C₂ = C₂³.₆₄₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:76C2	128,1472
C₂³.Q₈:₇₇C₂ = C₂³.₆₄₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:77C2	128,1475
C₂³.Q₈:₇₈C₂ = C₂⁴.₄₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:78C2	128,1480
C₂³.Q₈:₇₉C₂ = C₂³.₆₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:79C2	128,1481
C₂³.Q₈:₈₀C₂ = C₂⁴.₄₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:80C2	128,1482
C₂³.Q₈:₈₁C₂ = C₂⁴.₄₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:81C2	128,1489
C₂³.Q₈:₈₂C₂ = C₂⁴.₄₄₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:82C2	128,1493
C₂³.Q₈:₈₃C₂ = C₂³.₆₇₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:83C2	128,1511
C₂³.Q₈:₈₄C₂ = C₂⁴.₄₄₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:84C2	128,1512
C₂³.Q₈:₈₅C₂ = C₂³.₆₈₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:85C2	128,1513
C₂³.Q₈:₈₆C₂ = C₂⁴.₄₅₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:86C2	128,1516
C₂³.Q₈:₈₇C₂ = C₂³.₆₈₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:87C2	128,1518
C₂³.Q₈:₈₈C₂ = C₂³.₆₉₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:88C2	128,1527
C₂³.Q₈:₈₉C₂ = C₂³.₇₀₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:89C2	128,1532
C₂³.Q₈:₉₀C₂ = C₂³.₇₀₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:90C2	128,1533
C₂³.Q₈:₉₁C₂ = C₂⁴.₄₅₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:91C2	128,1545
C₂³.Q₈:₉₂C₂ = C₂³.₇₁₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:92C2	128,1546
C₂³.Q₈:₉₃C₂ = C₄².₁₉₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:93C2	128,1552
C₂³.Q₈:₉₄C₂ = C₄²:₃₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:94C2	128,1555
C₂³.Q₈:₉₅C₂ = C₂³.₇₂₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:95C2	128,1557
C₂³.Q₈:₉₆C₂ = C₂³.₇₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:96C2	128,1558
C₂³.Q₈:₉₇C₂ = C₂³.₇₂₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:97C2	128,1559
C₂³.Q₈:₉₈C₂ = C₂³.₇₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:98C2	128,1561
C₂³.Q₈:₉₉C₂ = C₂³.₇₃₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:99C2	128,1562
C₂³.Q₈:₁₀₀C₂ = C₂³.₇₃₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8:100C2	128,1569
C₂³.Q₈:₁₀₁C₂ = C₂⁴.₁₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	32	C2^3.Q8:101C2	128,1574
C₂³.Q₈:₁₀₂C₂ = C₄²:₁₅D₄	φ: trivial image	64	C2^3.Q8:102C2	128,1124

Non-split extensions G=N.Q with N=C₂³.Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.Q₈.₁C₂ = C₂³.₃₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.1C2	128,1161
C₂³.Q₈.₂C₂ = C₂⁴.₂₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.2C2	128,1171
C₂³.Q₈.₃C₂ = C₂⁴.₂₆₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.3C2	128,1173
C₂³.Q₈.₄C₂ = C₂⁴.₂₈₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.4C2	128,1197
C₂³.Q₈.₅C₂ = C₂³.₃₆₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.5C2	128,1201
C₂³.Q₈.₆C₂ = C₂³.₃₇₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.6C2	128,1207
C₂³.Q₈.₇C₂ = C₂³.₃₉₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.7C2	128,1229
C₂³.Q₈.₈C₂ = C₂⁴.₃₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.8C2	128,1247
C₂³.Q₈.₉C₂ = C₂³.₄₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.9C2	128,1251
C₂³.Q₈.₁₀C₂ = C₂³.₄₂₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.10C2	128,1254
C₂³.Q₈.₁₁C₂ = C₂³.₄₂₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.11C2	128,1257
C₂³.Q₈.₁₂C₂ = C₂³.₄₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.12C2	128,1261
C₂³.Q₈.₁₃C₂ = C₂³.₄₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.13C2	128,1288
C₂³.Q₈.₁₄C₂ = C₂³.₄₇₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.14C2	128,1305
C₂³.Q₈.₁₅C₂ = C₂⁴.₃₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.15C2	128,1306
C₂³.Q₈.₁₆C₂ = C₂⁴.₃₄₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.16C2	128,1319
C₂³.Q₈.₁₇C₂ = C₂³.₄₉₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.17C2	128,1326
C₂³.Q₈.₁₈C₂ = C₂³.₅₀₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.18C2	128,1340
C₂³.Q₈.₁₉C₂ = C₄².₁₈₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.19C2	128,1361
C₂³.Q₈.₂₀C₂ = C₄².₁₉₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.20C2	128,1369
C₂³.Q₈.₂₁C₂ = C₂³.₅₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.21C2	128,1382
C₂³.Q₈.₂₂C₂ = C₂⁴.₃₇₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.22C2	128,1384
C₂³.Q₈.₂₃C₂ = C₂³.₅₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.23C2	128,1386
C₂³.Q₈.₂₄C₂ = C₄².₁₉₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.24C2	128,1396
C₂³.Q₈.₂₅C₂ = C₂⁴.₃₇₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.25C2	128,1397
C₂³.Q₈.₂₆C₂ = C₂³.₅₆₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.26C2	128,1399
C₂³.Q₈.₂₇C₂ = C₂⁴.₄₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.27C2	128,1436
C₂³.Q₈.₂₈C₂ = C₂³.₆₁₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.28C2	128,1448
C₂³.Q₈.₂₉C₂ = C₂³.₆₂₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.29C2	128,1452
C₂³.Q₈.₃₀C₂ = C₂³.₆₂₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.30C2	128,1453
C₂³.Q₈.₃₁C₂ = C₂³.₆₂₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.31C2	128,1457
C₂³.Q₈.₃₂C₂ = C₂⁴.₄₂₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.32C2	128,1461
C₂³.Q₈.₃₃C₂ = C₂⁴.₄₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.33C2	128,1471
C₂³.Q₈.₃₄C₂ = C₂⁴.₄₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.34C2	128,1476
C₂³.Q₈.₃₅C₂ = C₂⁴.₄₄₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.35C2	128,1497
C₂³.Q₈.₃₆C₂ = C₂³.₆₆₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.36C2	128,1500
C₂³.Q₈.₃₇C₂ = C₂³.₆₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.37C2	128,1504
C₂³.Q₈.₃₈C₂ = C₂³.₆₇₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.38C2	128,1507
C₂³.Q₈.₃₉C₂ = C₂³.₆₇₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.39C2	128,1509
C₂³.Q₈.₄₀C₂ = C₂³.₆₈₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.40C2	128,1515
C₂³.Q₈.₄₁C₂ = C₂³.₆₈₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.41C2	128,1520
C₂³.Q₈.₄₂C₂ = C₂⁴.₄₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.42C2	128,1522
C₂³.Q₈.₄₃C₂ = C₂³.₆₉₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.43C2	128,1525
C₂³.Q₈.₄₄C₂ = C₂³.₇₃₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.44C2	128,1563
C₂³.Q₈.₄₅C₂ = C₂³.₇₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.45C2	128,1568
C₂³.Q₈.₄₆C₂ = C₂³.₇₃₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.46C2	128,1570
C₂³.Q₈.₄₇C₂ = C₂³.₇₄₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.Q₈	64	C2^3.Q8.47C2	128,1573
C₂³.Q₈.₄₈C₂ = C₄².₁₆₂D₄	φ: trivial image	64	C2^3.Q8.48C2	128,1128
C₂³.Q₈.₄₉C₂ = C₂³.₃₀₁C₂⁴	φ: trivial image	64	C2^3.Q8.49C2	128,1133

Extensions 1→N→G→Q→1 with N=C23.Q8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.Q₈ and Q=C₂