Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₃₂C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₃₂C₂⁴

		d	ρ	Label	ID
C₂×C₂².₃₂C₂⁴		32		C2xC2^2.32C2^4	128,2182

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₃₂C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₃₂C₂⁴) = C₂³.₁₉₄C₂⁴	central extension (φ=1)	32	C2.1(C2^2.32C2^4)	128,1044
C₂.₂(C₂².₃₂C₂⁴) = C₂⁴.₅₄₇C₂³	central extension (φ=1)	64	C2.2(C2^2.32C2^4)	128,1050
C₂.₃(C₂².₃₂C₂⁴) = C₂³.₂₀₃C₂⁴	central extension (φ=1)	32	C2.3(C2^2.32C2^4)	128,1053
C₂.₄(C₂².₃₂C₂⁴) = C₂⁴.₁₉₈C₂³	central extension (φ=1)	64	C2.4(C2^2.32C2^4)	128,1057
C₂.₅(C₂².₃₂C₂⁴) = C₂³.₂₁₁C₂⁴	central extension (φ=1)	64	C2.5(C2^2.32C2^4)	128,1061
C₂.₆(C₂².₃₂C₂⁴) = C₂³.₂₁₅C₂⁴	central extension (φ=1)	64	C2.6(C2^2.32C2^4)	128,1065
C₂.₇(C₂².₃₂C₂⁴) = C₂⁴.₂₀₃C₂³	central extension (φ=1)	64	C2.7(C2^2.32C2^4)	128,1066
C₂.₈(C₂².₃₂C₂⁴) = C₂⁴.₂₀₄C₂³	central extension (φ=1)	64	C2.8(C2^2.32C2^4)	128,1067
C₂.₉(C₂².₃₂C₂⁴) = C₂⁴.₂₀₅C₂³	central extension (φ=1)	64	C2.9(C2^2.32C2^4)	128,1069
C₂.₁₀(C₂².₃₂C₂⁴) = C₂³.₃₁₈C₂⁴	central stem extension (φ=1)	32	C2.10(C2^2.32C2^4)	128,1150
C₂.₁₁(C₂².₃₂C₂⁴) = C₂³.₃₂₄C₂⁴	central stem extension (φ=1)	32	C2.11(C2^2.32C2^4)	128,1156
C₂.₁₂(C₂².₃₂C₂⁴) = C₂³.₃₄₄C₂⁴	central stem extension (φ=1)	64	C2.12(C2^2.32C2^4)	128,1176
C₂.₁₃(C₂².₃₂C₂⁴) = C₂³.₃₅₀C₂⁴	central stem extension (φ=1)	64	C2.13(C2^2.32C2^4)	128,1182
C₂.₁₄(C₂².₃₂C₂⁴) = C₂³.₃₅₆C₂⁴	central stem extension (φ=1)	64	C2.14(C2^2.32C2^4)	128,1188
C₂.₁₅(C₂².₃₂C₂⁴) = C₂³.₃₅₉C₂⁴	central stem extension (φ=1)	64	C2.15(C2^2.32C2^4)	128,1191
C₂.₁₆(C₂².₃₂C₂⁴) = C₂³.₃₆₇C₂⁴	central stem extension (φ=1)	64	C2.16(C2^2.32C2^4)	128,1199
C₂.₁₇(C₂².₃₂C₂⁴) = C₂³.₃₇₂C₂⁴	central stem extension (φ=1)	32	C2.17(C2^2.32C2^4)	128,1204
C₂.₁₈(C₂².₃₂C₂⁴) = C₂³.₃₈₀C₂⁴	central stem extension (φ=1)	32	C2.18(C2^2.32C2^4)	128,1212
C₂.₁₉(C₂².₃₂C₂⁴) = C₂³.₄₀₅C₂⁴	central stem extension (φ=1)	64	C2.19(C2^2.32C2^4)	128,1237
C₂.₂₀(C₂².₃₂C₂⁴) = C₂³.₄₁₀C₂⁴	central stem extension (φ=1)	64	C2.20(C2^2.32C2^4)	128,1242
C₂.₂₁(C₂².₃₂C₂⁴) = C₂³.₄₁₈C₂⁴	central stem extension (φ=1)	64	C2.21(C2^2.32C2^4)	128,1250
C₂.₂₂(C₂².₃₂C₂⁴) = C₂⁴.₃₂₇C₂³	central stem extension (φ=1)	64	C2.22(C2^2.32C2^4)	128,1286
C₂.₂₃(C₂².₃₂C₂⁴) = C₂³.₄₅₅C₂⁴	central stem extension (φ=1)	64	C2.23(C2^2.32C2^4)	128,1287
C₂.₂₄(C₂².₃₂C₂⁴) = C₂³.₄₅₇C₂⁴	central stem extension (φ=1)	64	C2.24(C2^2.32C2^4)	128,1289
C₂.₂₅(C₂².₃₂C₂⁴) = C₂⁴.₃₃₁C₂³	central stem extension (φ=1)	64	C2.25(C2^2.32C2^4)	128,1291
C₂.₂₆(C₂².₃₂C₂⁴) = C₂³.₄₇₂C₂⁴	central stem extension (φ=1)	64	C2.26(C2^2.32C2^4)	128,1304
C₂.₂₇(C₂².₃₂C₂⁴) = C₂⁴.₃₃₈C₂³	central stem extension (φ=1)	64	C2.27(C2^2.32C2^4)	128,1306
C₂.₂₈(C₂².₃₂C₂⁴) = C₂⁴.₃₄₀C₂³	central stem extension (φ=1)	64	C2.28(C2^2.32C2^4)	128,1308
C₂.₂₉(C₂².₃₂C₂⁴) = C₂³.₄₇₈C₂⁴	central stem extension (φ=1)	64	C2.29(C2^2.32C2^4)	128,1310
C₂.₃₀(C₂².₃₂C₂⁴) = C₂³.₄₈₆C₂⁴	central stem extension (φ=1)	128	C2.30(C2^2.32C2^4)	128,1318
C₂.₃₁(C₂².₃₂C₂⁴) = C₂⁴.₃₄₅C₂³	central stem extension (φ=1)	64	C2.31(C2^2.32C2^4)	128,1319
C₂.₃₂(C₂².₃₂C₂⁴) = C₂⁴.₃₄₆C₂³	central stem extension (φ=1)	64	C2.32(C2^2.32C2^4)	128,1321
C₂.₃₃(C₂².₃₂C₂⁴) = C₂³.₄₉₃C₂⁴	central stem extension (φ=1)	64	C2.33(C2^2.32C2^4)	128,1325
C₂.₃₄(C₂².₃₂C₂⁴) = C₂⁴.₃₄₇C₂³	central stem extension (φ=1)	64	C2.34(C2^2.32C2^4)	128,1327
C₂.₃₅(C₂².₃₂C₂⁴) = C₂⁴.₃₄₈C₂³	central stem extension (φ=1)	64	C2.35(C2^2.32C2^4)	128,1329
C₂.₃₆(C₂².₃₂C₂⁴) = C₂⁴⋊₁₀D₄	central stem extension (φ=1)	32	C2.36(C2^2.32C2^4)	128,1349
C₂.₃₇(C₂².₃₂C₂⁴) = C₂⁴.₉₇D₄	central stem extension (φ=1)	32	C2.37(C2^2.32C2^4)	128,1354
C₂.₃₈(C₂².₃₂C₂⁴) = C₂⁴⋊₅Q₈	central stem extension (φ=1)	32	C2.38(C2^2.32C2^4)	128,1358
C₂.₃₉(C₂².₃₂C₂⁴) = C₂³.₅₃₀C₂⁴	central stem extension (φ=1)	64	C2.39(C2^2.32C2^4)	128,1362
C₂.₄₀(C₂².₃₂C₂⁴) = C₄²⋊₂₉D₄	central stem extension (φ=1)	64	C2.40(C2^2.32C2^4)	128,1363
C₂.₄₁(C₂².₃₂C₂⁴) = C₂³.₅₃₅C₂⁴	central stem extension (φ=1)	64	C2.41(C2^2.32C2^4)	128,1367
C₂.₄₂(C₂².₃₂C₂⁴) = C₄²⋊₃₀D₄	central stem extension (φ=1)	64	C2.42(C2^2.32C2^4)	128,1368
C₂.₄₃(C₂².₃₂C₂⁴) = C₂⁴.₅₉₂C₂³	central stem extension (φ=1)	64	C2.43(C2^2.32C2^4)	128,1371
C₂.₄₄(C₂².₃₂C₂⁴) = C₂³.₅₄₃C₂⁴	central stem extension (φ=1)	64	C2.44(C2^2.32C2^4)	128,1375
C₂.₄₅(C₂².₃₂C₂⁴) = C₂³.₅₄₆C₂⁴	central stem extension (φ=1)	64	C2.45(C2^2.32C2^4)	128,1378
C₂.₄₆(C₂².₃₂C₂⁴) = C₂³.₅₄₈C₂⁴	central stem extension (φ=1)	64	C2.46(C2^2.32C2^4)	128,1380
C₂.₄₇(C₂².₃₂C₂⁴) = C₂⁴.₃₇₅C₂³	central stem extension (φ=1)	64	C2.47(C2^2.32C2^4)	128,1381
C₂.₄₈(C₂².₃₂C₂⁴) = C₂³.₅₅₀C₂⁴	central stem extension (φ=1)	64	C2.48(C2^2.32C2^4)	128,1382
C₂.₄₉(C₂².₃₂C₂⁴) = C₂³.₅₅₁C₂⁴	central stem extension (φ=1)	64	C2.49(C2^2.32C2^4)	128,1383
C₂.₅₀(C₂².₃₂C₂⁴) = C₂⁴.₃₇₆C₂³	central stem extension (φ=1)	64	C2.50(C2^2.32C2^4)	128,1384
C₂.₅₁(C₂².₃₂C₂⁴) = C₂³.₅₅₃C₂⁴	central stem extension (φ=1)	64	C2.51(C2^2.32C2^4)	128,1385
C₂.₅₂(C₂².₃₂C₂⁴) = C₂⁴.₃₇₇C₂³	central stem extension (φ=1)	64	C2.52(C2^2.32C2^4)	128,1393
C₂.₅₃(C₂².₃₂C₂⁴) = C₄²⋊₃₂D₄	central stem extension (φ=1)	64	C2.53(C2^2.32C2^4)	128,1394
C₂.₅₄(C₂².₃₂C₂⁴) = C₂⁴.₃₇₉C₂³	central stem extension (φ=1)	64	C2.54(C2^2.32C2^4)	128,1397
C₂.₅₅(C₂².₃₂C₂⁴) = C₄²⋊₁₁Q₈	central stem extension (φ=1)	128	C2.55(C2^2.32C2^4)	128,1398
C₂.₅₆(C₂².₃₂C₂⁴) = C₂³.₅₆₈C₂⁴	central stem extension (φ=1)	32	C2.56(C2^2.32C2^4)	128,1400
C₂.₅₇(C₂².₃₂C₂⁴) = C₂³.₅₇₀C₂⁴	central stem extension (φ=1)	32	C2.57(C2^2.32C2^4)	128,1402
C₂.₅₈(C₂².₃₂C₂⁴) = C₂³.₅₇₆C₂⁴	central stem extension (φ=1)	64	C2.58(C2^2.32C2^4)	128,1408
C₂.₅₉(C₂².₃₂C₂⁴) = C₂³.₅₇₈C₂⁴	central stem extension (φ=1)	32	C2.59(C2^2.32C2^4)	128,1410
C₂.₆₀(C₂².₃₂C₂⁴) = C₂⁴.₃₈₉C₂³	central stem extension (φ=1)	64	C2.60(C2^2.32C2^4)	128,1414
C₂.₆₁(C₂².₃₂C₂⁴) = C₂³.₅₈₄C₂⁴	central stem extension (φ=1)	32	C2.61(C2^2.32C2^4)	128,1416
C₂.₆₂(C₂².₃₂C₂⁴) = C₂³.₅₈₅C₂⁴	central stem extension (φ=1)	32	C2.62(C2^2.32C2^4)	128,1417
C₂.₆₃(C₂².₃₂C₂⁴) = C₂⁴.₃₉₃C₂³	central stem extension (φ=1)	64	C2.63(C2^2.32C2^4)	128,1418
C₂.₆₄(C₂².₃₂C₂⁴) = C₂⁴.₃₉₅C₂³	central stem extension (φ=1)	64	C2.64(C2^2.32C2^4)	128,1420
C₂.₆₅(C₂².₃₂C₂⁴) = C₂³.₅₉₅C₂⁴	central stem extension (φ=1)	64	C2.65(C2^2.32C2^4)	128,1427
C₂.₆₆(C₂².₃₂C₂⁴) = C₂⁴.₄₀₃C₂³	central stem extension (φ=1)	64	C2.66(C2^2.32C2^4)	128,1428
C₂.₆₇(C₂².₃₂C₂⁴) = C₂³.₅₉₇C₂⁴	central stem extension (φ=1)	32	C2.67(C2^2.32C2^4)	128,1429
C₂.₆₈(C₂².₃₂C₂⁴) = C₂³.₆₀₂C₂⁴	central stem extension (φ=1)	64	C2.68(C2^2.32C2^4)	128,1434
C₂.₆₉(C₂².₃₂C₂⁴) = C₂³.₆₀₃C₂⁴	central stem extension (φ=1)	64	C2.69(C2^2.32C2^4)	128,1435
C₂.₇₀(C₂².₃₂C₂⁴) = C₂³.₆₀₈C₂⁴	central stem extension (φ=1)	64	C2.70(C2^2.32C2^4)	128,1440
C₂.₇₁(C₂².₃₂C₂⁴) = C₂⁴.₄₁₂C₂³	central stem extension (φ=1)	64	C2.71(C2^2.32C2^4)	128,1442
C₂.₇₂(C₂².₃₂C₂⁴) = C₂⁴.₄₁₃C₂³	central stem extension (φ=1)	64	C2.72(C2^2.32C2^4)	128,1446
C₂.₇₃(C₂².₃₂C₂⁴) = C₂³.₆₁₅C₂⁴	central stem extension (φ=1)	64	C2.73(C2^2.32C2^4)	128,1447
C₂.₇₄(C₂².₃₂C₂⁴) = C₂³.₆₂₇C₂⁴	central stem extension (φ=1)	64	C2.74(C2^2.32C2^4)	128,1459
C₂.₇₅(C₂².₃₂C₂⁴) = C₂³.₆₃₀C₂⁴	central stem extension (φ=1)	64	C2.75(C2^2.32C2^4)	128,1462
C₂.₇₆(C₂².₃₂C₂⁴) = C₂³.₆₃₃C₂⁴	central stem extension (φ=1)	64	C2.76(C2^2.32C2^4)	128,1465
C₂.₇₇(C₂².₃₂C₂⁴) = C₂³.₆₃₅C₂⁴	central stem extension (φ=1)	32	C2.77(C2^2.32C2^4)	128,1467
C₂.₇₈(C₂².₃₂C₂⁴) = C₂³.₆₃₆C₂⁴	central stem extension (φ=1)	32	C2.78(C2^2.32C2^4)	128,1468
C₂.₇₉(C₂².₃₂C₂⁴) = C₂³.₆₄₁C₂⁴	central stem extension (φ=1)	64	C2.79(C2^2.32C2^4)	128,1473
C₂.₈₀(C₂².₃₂C₂⁴) = C₂³.₆₄₃C₂⁴	central stem extension (φ=1)	64	C2.80(C2^2.32C2^4)	128,1475
C₂.₈₁(C₂².₃₂C₂⁴) = C₂³.₆₄₅C₂⁴	central stem extension (φ=1)	64	C2.81(C2^2.32C2^4)	128,1477
C₂.₈₂(C₂².₃₂C₂⁴) = C₂³.₆₄₉C₂⁴	central stem extension (φ=1)	64	C2.82(C2^2.32C2^4)	128,1481
C₂.₈₃(C₂².₃₂C₂⁴) = C₂⁴.₄₃₅C₂³	central stem extension (φ=1)	64	C2.83(C2^2.32C2^4)	128,1482
C₂.₈₄(C₂².₃₂C₂⁴) = C₂³.₆₅₁C₂⁴	central stem extension (φ=1)	64	C2.84(C2^2.32C2^4)	128,1483
C₂.₈₅(C₂².₃₂C₂⁴) = C₂³.₆₅₂C₂⁴	central stem extension (φ=1)	64	C2.85(C2^2.32C2^4)	128,1484
C₂.₈₆(C₂².₃₂C₂⁴) = C₂⁴.₄₃₇C₂³	central stem extension (φ=1)	64	C2.86(C2^2.32C2^4)	128,1485
C₂.₈₇(C₂².₃₂C₂⁴) = C₂³.₆₅₆C₂⁴	central stem extension (φ=1)	64	C2.87(C2^2.32C2^4)	128,1488
C₂.₈₈(C₂².₃₂C₂⁴) = C₂³.₆₅₉C₂⁴	central stem extension (φ=1)	64	C2.88(C2^2.32C2^4)	128,1491
C₂.₈₉(C₂².₃₂C₂⁴) = C₂³.₆₆₀C₂⁴	central stem extension (φ=1)	64	C2.89(C2^2.32C2^4)	128,1492
C₂.₉₀(C₂².₃₂C₂⁴) = C₂⁴.₄₄₀C₂³	central stem extension (φ=1)	64	C2.90(C2^2.32C2^4)	128,1493
C₂.₉₁(C₂².₃₂C₂⁴) = C₂³.₆₆₄C₂⁴	central stem extension (φ=1)	64	C2.91(C2^2.32C2^4)	128,1496
C₂.₉₂(C₂².₃₂C₂⁴) = C₂⁴.₄₄₃C₂³	central stem extension (φ=1)	64	C2.92(C2^2.32C2^4)	128,1497
C₂.₉₃(C₂².₃₂C₂⁴) = C₂³.₆₆₈C₂⁴	central stem extension (φ=1)	64	C2.93(C2^2.32C2^4)	128,1500
C₂.₉₄(C₂².₃₂C₂⁴) = C₂⁴.₄₄₅C₂³	central stem extension (φ=1)	64	C2.94(C2^2.32C2^4)	128,1502
C₂.₉₅(C₂².₃₂C₂⁴) = C₂³.₆₇₁C₂⁴	central stem extension (φ=1)	64	C2.95(C2^2.32C2^4)	128,1503
C₂.₉₆(C₂².₃₂C₂⁴) = C₂³.₆₇₄C₂⁴	central stem extension (φ=1)	128	C2.96(C2^2.32C2^4)	128,1506
C₂.₉₇(C₂².₃₂C₂⁴) = C₂³.₆₇₅C₂⁴	central stem extension (φ=1)	64	C2.97(C2^2.32C2^4)	128,1507
C₂.₉₈(C₂².₃₂C₂⁴) = C₂³.₆₇₈C₂⁴	central stem extension (φ=1)	64	C2.98(C2^2.32C2^4)	128,1510
C₂.₉₉(C₂².₃₂C₂⁴) = C₂³.₆₇₉C₂⁴	central stem extension (φ=1)	64	C2.99(C2^2.32C2^4)	128,1511
C₂.₁₀₀(C₂².₃₂C₂⁴) = C₂⁴.₄₄₈C₂³	central stem extension (φ=1)	64	C2.100(C2^2.32C2^4)	128,1512
C₂.₁₀₁(C₂².₃₂C₂⁴) = C₂³.₆₈₁C₂⁴	central stem extension (φ=1)	64	C2.101(C2^2.32C2^4)	128,1513
C₂.₁₀₂(C₂².₃₂C₂⁴) = C₂⁴.₄₅₀C₂³	central stem extension (φ=1)	64	C2.102(C2^2.32C2^4)	128,1516
C₂.₁₀₃(C₂².₃₂C₂⁴) = C₂³.₆₈₆C₂⁴	central stem extension (φ=1)	64	C2.103(C2^2.32C2^4)	128,1518
C₂.₁₀₄(C₂².₃₂C₂⁴) = C₂³.₆₈₇C₂⁴	central stem extension (φ=1)	64	C2.104(C2^2.32C2^4)	128,1519
C₂.₁₀₅(C₂².₃₂C₂⁴) = C₂³.₆₈₈C₂⁴	central stem extension (φ=1)	64	C2.105(C2^2.32C2^4)	128,1520
C₂.₁₀₆(C₂².₃₂C₂⁴) = C₂³.₆₉₇C₂⁴	central stem extension (φ=1)	64	C2.106(C2^2.32C2^4)	128,1529
C₂.₁₀₇(C₂².₃₂C₂⁴) = C₂³.₇₀₀C₂⁴	central stem extension (φ=1)	64	C2.107(C2^2.32C2^4)	128,1532
C₂.₁₀₈(C₂².₃₂C₂⁴) = C₂³.₇₀₃C₂⁴	central stem extension (φ=1)	64	C2.108(C2^2.32C2^4)	128,1535
C₂.₁₀₉(C₂².₃₂C₂⁴) = C₂⁴.₄₅₆C₂³	central stem extension (φ=1)	64	C2.109(C2^2.32C2^4)	128,1536
C₂.₁₁₀(C₂².₃₂C₂⁴) = C₂³.₇₀₅C₂⁴	central stem extension (φ=1)	128	C2.110(C2^2.32C2^4)	128,1537
C₂.₁₁₁(C₂².₃₂C₂⁴) = C₂³.₇₀₆C₂⁴	central stem extension (φ=1)	128	C2.111(C2^2.32C2^4)	128,1538
C₂.₁₁₂(C₂².₃₂C₂⁴) = C₂³.₇₀₈C₂⁴	central stem extension (φ=1)	64	C2.112(C2^2.32C2^4)	128,1540
C₂.₁₁₃(C₂².₃₂C₂⁴) = C₂³.₇₂₄C₂⁴	central stem extension (φ=1)	64	C2.113(C2^2.32C2^4)	128,1556
C₂.₁₁₄(C₂².₃₂C₂⁴) = C₂³.₇₂₅C₂⁴	central stem extension (φ=1)	64	C2.114(C2^2.32C2^4)	128,1557
C₂.₁₁₅(C₂².₃₂C₂⁴) = C₂³.₇₂₆C₂⁴	central stem extension (φ=1)	64	C2.115(C2^2.32C2^4)	128,1558
C₂.₁₁₆(C₂².₃₂C₂⁴) = C₂³.₇₂₇C₂⁴	central stem extension (φ=1)	64	C2.116(C2^2.32C2^4)	128,1559
C₂.₁₁₇(C₂².₃₂C₂⁴) = C₂³.₇₂₈C₂⁴	central stem extension (φ=1)	64	C2.117(C2^2.32C2^4)	128,1560
C₂.₁₁₈(C₂².₃₂C₂⁴) = C₂³.₇₂₉C₂⁴	central stem extension (φ=1)	64	C2.118(C2^2.32C2^4)	128,1561
C₂.₁₁₉(C₂².₃₂C₂⁴) = C₂³.₇₃₀C₂⁴	central stem extension (φ=1)	64	C2.119(C2^2.32C2^4)	128,1562
C₂.₁₂₀(C₂².₃₂C₂⁴) = C₂³.₇₃₁C₂⁴	central stem extension (φ=1)	64	C2.120(C2^2.32C2^4)	128,1563
C₂.₁₂₁(C₂².₃₂C₂⁴) = C₂³.₇₃₂C₂⁴	central stem extension (φ=1)	64	C2.121(C2^2.32C2^4)	128,1564
C₂.₁₂₂(C₂².₃₂C₂⁴) = C₂³.₇₃₃C₂⁴	central stem extension (φ=1)	128	C2.122(C2^2.32C2^4)	128,1565

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.32C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₃₂C₂⁴