Extensions 1→N→G→Q→1 with N=C₂³.₇₈C₂³ and Q=C₂

Direct product G=N×Q with N=C₂³.₇₈C₂³ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₇₈C₂³		128		C2xC2^3.78C2^3	128,1119

Semidirect products G=N:Q with N=C₂³.₇₈C₂³ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.₇₈C₂³⋊₁C₂ = C₄⋊C₄.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	32	C2^3.78C2^3:1C2	128,335
C₂³.₇₈C₂³⋊₂C₂ = Q₈⋊D₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	32	C2^3.78C2^3:2C2	128,336
C₂³.₇₈C₂³⋊₃C₂ = C₂⁴.₂₄₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:3C2	128,1138
C₂³.₇₈C₂³⋊₄C₂ = C₂³.₃₀₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:4C2	128,1141
C₂³.₇₈C₂³⋊₅C₂ = C₂⁴.₂₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:5C2	128,1162
C₂³.₇₈C₂³⋊₆C₂ = C₂³.₃₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:6C2	128,1166
C₂³.₇₈C₂³⋊₇C₂ = C₂⁴.₅₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:7C2	128,1170
C₂³.₇₈C₂³⋊₈C₂ = C₂⁴.₅₆₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:8C2	128,1172
C₂³.₇₈C₂³⋊₉C₂ = C₂³.₃₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:9C2	128,1181
C₂³.₇₈C₂³⋊₁₀C₂ = C₂⁴.₂₈₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:10C2	128,1193
C₂³.₇₈C₂³⋊₁₁C₂ = C₂⁴.₂₈₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:11C2	128,1197
C₂³.₇₈C₂³⋊₁₂C₂ = C₂³.₃₆₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:12C2	128,1201
C₂³.₇₈C₂³⋊₁₃C₂ = C₂³.₃₇₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:13C2	128,1206
C₂³.₇₈C₂³⋊₁₄C₂ = C₂⁴.₃₁₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:14C2	128,1253
C₂³.₇₈C₂³⋊₁₅C₂ = C₂³.₄₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:15C2	128,1281
C₂³.₇₈C₂³⋊₁₆C₂ = C₂³.₄₅₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:16C2	128,1287
C₂³.₇₈C₂³⋊₁₇C₂ = C₂³.₄₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:17C2	128,1288
C₂³.₇₈C₂³⋊₁₈C₂ = C₂⁴.₅₈₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:18C2	128,1296
C₂³.₇₈C₂³⋊₁₉C₂ = C₂⁴.₃₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:19C2	128,1306
C₂³.₇₈C₂³⋊₂₀C₂ = C₂³.₄₈₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:20C2	128,1315
C₂³.₇₈C₂³⋊₂₁C₂ = C₄².₁₈₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:21C2	128,1331
C₂³.₇₈C₂³⋊₂₂C₂ = C₄².₁₈₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:22C2	128,1336
C₂³.₇₈C₂³⋊₂₃C₂ = C₄²⋊₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:23C2	128,1342
C₂³.₇₈C₂³⋊₂₄C₂ = C₂³.₅₁₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:24C2	128,1346
C₂³.₇₈C₂³⋊₂₅C₂ = C₂⁴.₃₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:25C2	128,1348
C₂³.₇₈C₂³⋊₂₆C₂ = C₂³.₅₂₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:26C2	128,1359
C₂³.₇₈C₂³⋊₂₇C₂ = C₄².₁₈₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:27C2	128,1360
C₂³.₇₈C₂³⋊₂₈C₂ = C₄².₁₈₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:28C2	128,1364
C₂³.₇₈C₂³⋊₂₉C₂ = C₄².₁₉₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:29C2	128,1369
C₂³.₇₈C₂³⋊₃₀C₂ = C₂⁴.₃₇₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:30C2	128,1370
C₂³.₇₈C₂³⋊₃₁C₂ = C₂³.₅₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:31C2	128,1382
C₂³.₇₈C₂³⋊₃₂C₂ = C₂³.₅₅₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:32C2	128,1391
C₂³.₇₈C₂³⋊₃₃C₂ = C₄²⋊₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:33C2	128,1394
C₂³.₇₈C₂³⋊₃₄C₂ = C₂⁴.₃₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:34C2	128,1395
C₂³.₇₈C₂³⋊₃₅C₂ = C₂⁴.₃₇₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:35C2	128,1397
C₂³.₇₈C₂³⋊₃₆C₂ = C₂³.₅₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:36C2	128,1404
C₂³.₇₈C₂³⋊₃₇C₂ = C₂³.₅₇₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:37C2	128,1406
C₂³.₇₈C₂³⋊₃₈C₂ = C₂⁴.₃₈₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:38C2	128,1409
C₂³.₇₈C₂³⋊₃₉C₂ = C₂³.₅₈₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:39C2	128,1412
C₂³.₇₈C₂³⋊₄₀C₂ = C₂³.₅₈₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:40C2	128,1415
C₂³.₇₈C₂³⋊₄₁C₂ = C₂⁴.₃₉₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:41C2	128,1418
C₂³.₇₈C₂³⋊₄₂C₂ = C₂³.₅₈₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:42C2	128,1421
C₂³.₇₈C₂³⋊₄₃C₂ = C₂³.₅₉₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:43C2	128,1422
C₂³.₇₈C₂³⋊₄₄C₂ = C₂³.₅₉₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:44C2	128,1424
C₂³.₇₈C₂³⋊₄₅C₂ = C₂⁴.₄₀₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:45C2	128,1430
C₂³.₇₈C₂³⋊₄₆C₂ = C₂³.₆₀₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:46C2	128,1432
C₂³.₇₈C₂³⋊₄₇C₂ = C₂⁴.₄₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:47C2	128,1436
C₂³.₇₈C₂³⋊₄₈C₂ = C₂³.₆₁₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:48C2	128,1447
C₂³.₇₈C₂³⋊₄₉C₂ = C₂³.₆₁₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:49C2	128,1449
C₂³.₇₈C₂³⋊₅₀C₂ = C₂³.₆₂₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:50C2	128,1452
C₂³.₇₈C₂³⋊₅₁C₂ = C₂⁴.₄₁₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:51C2	128,1455
C₂³.₇₈C₂³⋊₅₂C₂ = C₂⁴.₄₂₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:52C2	128,1461
C₂³.₇₈C₂³⋊₅₃C₂ = C₂³.₆₃₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:53C2	128,1469
C₂³.₇₈C₂³⋊₅₄C₂ = C₂⁴.₄₂₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:54C2	128,1474
C₂³.₇₈C₂³⋊₅₅C₂ = C₂³.₆₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:55C2	128,1477
C₂³.₇₈C₂³⋊₅₆C₂ = C₂³.₆₅₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:56C2	128,1491
C₂³.₇₈C₂³⋊₅₇C₂ = C₂³.₆₆₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:57C2	128,1495
C₂³.₇₈C₂³⋊₅₈C₂ = C₂³.₆₇₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:58C2	128,1507
C₂³.₇₈C₂³⋊₅₉C₂ = C₂⁴.₄₅₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:59C2	128,1516
C₂³.₇₈C₂³⋊₆₀C₂ = C₂³.₆₈₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:60C2	128,1517
C₂³.₇₈C₂³⋊₆₁C₂ = C₂³.₆₈₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:61C2	128,1520
C₂³.₇₈C₂³⋊₆₂C₂ = C₂³.₇₁₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:62C2	128,1546
C₂³.₇₈C₂³⋊₆₃C₂ = C₂⁴.₄₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:63C2	128,1549
C₂³.₇₈C₂³⋊₆₄C₂ = C₄².₁₉₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:64C2	128,1552
C₂³.₇₈C₂³⋊₆₅C₂ = C₄².₂₀₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:65C2	128,1553
C₂³.₇₈C₂³⋊₆₆C₂ = C₂³.₇₃₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:66C2	128,1562
C₂³.₇₈C₂³⋊₆₇C₂ = C₂³.₇₃₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:67C2	128,1563
C₂³.₇₈C₂³⋊₆₈C₂ = C₂³.₇₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:68C2	128,1564
C₂³.₇₈C₂³⋊₆₉C₂ = C₂³.₇₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:69C2	128,1567
C₂³.₇₈C₂³⋊₇₀C₂ = C₂³.₇₃₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:70C2	128,1570
C₂³.₇₈C₂³⋊₇₁C₂ = C₂³.₇₄₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	64	C2^3.78C2^3:71C2	128,1573
C₂³.₇₈C₂³⋊₇₂C₂ = C₂³.₂₈₈C₂⁴	φ: trivial image	64	C2^3.78C2^3:72C2	128,1120
C₂³.₇₈C₂³⋊₇₃C₂ = C₄².₁₆₂D₄	φ: trivial image	64	C2^3.78C2^3:73C2	128,1128

Non-split extensions G=N.Q with N=C₂³.₇₈C₂³ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.₇₈C₂³.₁C₂ = C₂.₇C₂≀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	32	C2^3.78C2^3.1C2	128,86
C₂³.₇₈C₂³.₂C₂ = (C₂×C₄)⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	32	C2^3.78C2^3.2C2	128,337
C₂³.₇₈C₂³.₃C₂ = C₂³.₃₅₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.3C2	128,1183
C₂³.₇₈C₂³.₄C₂ = C₂³.₃₆₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.4C2	128,1194
C₂³.₇₈C₂³.₅C₂ = C₂³.₄₂₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.5C2	128,1252
C₂³.₇₈C₂³.₆C₂ = C₄²⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.6C2	128,1282
C₂³.₇₈C₂³.₇C₂ = C₄²⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.7C2	128,1283
C₂³.₇₈C₂³.₈C₂ = C₄².₁₇₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.8C2	128,1299
C₂³.₇₈C₂³.₉C₂ = C₄².₁₇₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.9C2	128,1313
C₂³.₇₈C₂³.₁₀C₂ = C₄².₁₈₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.10C2	128,1316
C₂³.₇₈C₂³.₁₁C₂ = C₂³.₄₈₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.11C2	128,1318
C₂³.₇₈C₂³.₁₂C₂ = C₂³.₄₈₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.12C2	128,1320
C₂³.₇₈C₂³.₁₃C₂ = C₄²⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.13C2	128,1337
C₂³.₇₈C₂³.₁₄C₂ = C₄²⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.14C2	128,1344
C₂³.₇₈C₂³.₁₅C₂ = C₄².₁₉₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.15C2	128,1366
C₂³.₇₈C₂³.₁₆C₂ = C₄²⋊₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.16C2	128,1392
C₂³.₇₈C₂³.₁₇C₂ = C₄²⋊₁₁Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.17C2	128,1398
C₂³.₇₈C₂³.₁₈C₂ = C₂³.₆₁₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.18C2	128,1445
C₂³.₇₈C₂³.₁₉C₂ = C₂³.₆₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.19C2	128,1466
C₂³.₇₈C₂³.₂₀C₂ = C₂³.₆₅₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.20C2	128,1487
C₂³.₇₈C₂³.₂₁C₂ = C₂³.₆₅₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.21C2	128,1490
C₂³.₇₈C₂³.₂₂C₂ = C₂³.₆₆₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.22C2	128,1494
C₂³.₇₈C₂³.₂₃C₂ = C₂³.₆₇₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.23C2	128,1506
C₂³.₇₈C₂³.₂₄C₂ = C₂³.₆₈₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.24C2	128,1521
C₂³.₇₈C₂³.₂₅C₂ = C₂³.₆₉₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.25C2	128,1524
C₂³.₇₈C₂³.₂₆C₂ = C₂³.₆₉₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.26C2	128,1531
C₂³.₇₈C₂³.₂₇C₂ = C₂³.₇₀₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.27C2	128,1537
C₂³.₇₈C₂³.₂₈C₂ = C₂³.₇₀₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.28C2	128,1538
C₂³.₇₈C₂³.₂₉C₂ = C₂³.₇₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.29C2	128,1543
C₂³.₇₈C₂³.₃₀C₂ = C₂³.₇₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.30C2	128,1565
C₂³.₇₈C₂³.₃₁C₂ = C₄²⋊₁₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.31C2	128,1575
C₂³.₇₈C₂³.₃₂C₂ = C₄²⋊₁₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇₈C₂³	128	C2^3.78C2^3.32C2	128,1576
C₂³.₇₈C₂³.₃₃C₂ = C₄²⋊₅Q₈	φ: trivial image	128	C2^3.78C2^3.33C2	128,1131

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Extensions 1→N→G→Q→1 with N=C23.78C23 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.₇₈C₂³ and Q=C₂