Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₃₃C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₃₃C₂⁴

		d	ρ	Label	ID
C₂×C₂².₃₃C₂⁴		64		C2xC2^2.33C2^4	128,2183

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₃₃C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₃₃C₂⁴) = C₂³.₁₉₅C₂⁴	central extension (φ=1)	64	C2.1(C2^2.33C2^4)	128,1045
C₂.₂(C₂².₃₃C₂⁴) = C₂⁴.₅₄₇C₂³	central extension (φ=1)	64	C2.2(C2^2.33C2^4)	128,1050
C₂.₃(C₂².₃₃C₂⁴) = C₂⁴.₁₉₅C₂³	central extension (φ=1)	64	C2.3(C2^2.33C2^4)	128,1054
C₂.₄(C₂².₃₃C₂⁴) = C₂⁴.₁₉₈C₂³	central extension (φ=1)	64	C2.4(C2^2.33C2^4)	128,1057
C₂.₅(C₂².₃₃C₂⁴) = C₂³.₂₁₁C₂⁴	central extension (φ=1)	64	C2.5(C2^2.33C2^4)	128,1061
C₂.₆(C₂².₃₃C₂⁴) = C₂³.₂₁₄C₂⁴	central extension (φ=1)	64	C2.6(C2^2.33C2^4)	128,1064
C₂.₇(C₂².₃₃C₂⁴) = C₂⁴.₂₀₃C₂³	central extension (φ=1)	64	C2.7(C2^2.33C2^4)	128,1066
C₂.₈(C₂².₃₃C₂⁴) = C₂⁴.₂₀₄C₂³	central extension (φ=1)	64	C2.8(C2^2.33C2^4)	128,1067
C₂.₉(C₂².₃₃C₂⁴) = C₂³.₂₁₈C₂⁴	central extension (φ=1)	128	C2.9(C2^2.33C2^4)	128,1068
C₂.₁₀(C₂².₃₃C₂⁴) = C₂⁴.₅₆₃C₂³	central stem extension (φ=1)	64	C2.10(C2^2.33C2^4)	128,1151
C₂.₁₁(C₂².₃₃C₂⁴) = C₂⁴.₂₅₈C₂³	central stem extension (φ=1)	64	C2.11(C2^2.33C2^4)	128,1157
C₂.₁₂(C₂².₃₃C₂⁴) = C₂⁴.₂₆₉C₂³	central stem extension (φ=1)	64	C2.12(C2^2.33C2^4)	128,1175
C₂.₁₃(C₂².₃₃C₂⁴) = C₂³.₃₄₉C₂⁴	central stem extension (φ=1)	64	C2.13(C2^2.33C2^4)	128,1181
C₂.₁₄(C₂².₃₃C₂⁴) = C₂⁴.₂₇₆C₂³	central stem extension (φ=1)	64	C2.14(C2^2.33C2^4)	128,1187
C₂.₁₅(C₂².₃₃C₂⁴) = C₂³.₃₆₀C₂⁴	central stem extension (φ=1)	64	C2.15(C2^2.33C2^4)	128,1192
C₂.₁₆(C₂².₃₃C₂⁴) = C₂⁴.₂₈₃C₂³	central stem extension (φ=1)	64	C2.16(C2^2.33C2^4)	128,1195
C₂.₁₇(C₂².₃₃C₂⁴) = C₂⁴.₂₈₆C₂³	central stem extension (φ=1)	64	C2.17(C2^2.33C2^4)	128,1198
C₂.₁₈(C₂².₃₃C₂⁴) = C₂⁴.₅₇₂C₂³	central stem extension (φ=1)	64	C2.18(C2^2.33C2^4)	128,1205
C₂.₁₉(C₂².₃₃C₂⁴) = C₂⁴.₅₇₃C₂³	central stem extension (φ=1)	64	C2.19(C2^2.33C2^4)	128,1213
C₂.₂₀(C₂².₃₃C₂⁴) = C₂³.₃₈₈C₂⁴	central stem extension (φ=1)	64	C2.20(C2^2.33C2^4)	128,1220
C₂.₂₁(C₂².₃₃C₂⁴) = C₂⁴.₅₇₇C₂³	central stem extension (φ=1)	64	C2.21(C2^2.33C2^4)	128,1225
C₂.₂₂(C₂².₃₃C₂⁴) = C₂³.₄₁₇C₂⁴	central stem extension (φ=1)	64	C2.22(C2^2.33C2^4)	128,1249
C₂.₂₃(C₂².₃₃C₂⁴) = C₂⁴.₃₁₃C₂³	central stem extension (φ=1)	64	C2.23(C2^2.33C2^4)	128,1255
C₂.₂₄(C₂².₃₃C₂⁴) = C₂⁴.₃₂₆C₂³	central stem extension (φ=1)	64	C2.24(C2^2.33C2^4)	128,1285
C₂.₂₅(C₂².₃₃C₂⁴) = C₂³.₄₅₆C₂⁴	central stem extension (φ=1)	64	C2.25(C2^2.33C2^4)	128,1288
C₂.₂₆(C₂².₃₃C₂⁴) = C₂³.₄₅₈C₂⁴	central stem extension (φ=1)	64	C2.26(C2^2.33C2^4)	128,1290
C₂.₂₇(C₂².₃₃C₂⁴) = C₂⁴.₃₃₂C₂³	central stem extension (φ=1)	64	C2.27(C2^2.33C2^4)	128,1292
C₂.₂₈(C₂².₃₃C₂⁴) = C₂³.₄₇₃C₂⁴	central stem extension (φ=1)	64	C2.28(C2^2.33C2^4)	128,1305
C₂.₂₉(C₂².₃₃C₂⁴) = C₂⁴.₃₃₉C₂³	central stem extension (φ=1)	64	C2.29(C2^2.33C2^4)	128,1307
C₂.₃₀(C₂².₃₃C₂⁴) = C₂⁴.₃₄₁C₂³	central stem extension (φ=1)	64	C2.30(C2^2.33C2^4)	128,1309
C₂.₃₁(C₂².₃₃C₂⁴) = C₂³.₄₈₅C₂⁴	central stem extension (φ=1)	128	C2.31(C2^2.33C2^4)	128,1317
C₂.₃₂(C₂².₃₃C₂⁴) = C₂³.₄₈₈C₂⁴	central stem extension (φ=1)	128	C2.32(C2^2.33C2^4)	128,1320
C₂.₃₃(C₂².₃₃C₂⁴) = C₂³.₄₉₀C₂⁴	central stem extension (φ=1)	128	C2.33(C2^2.33C2^4)	128,1322
C₂.₃₄(C₂².₃₃C₂⁴) = C₂³.₄₉₄C₂⁴	central stem extension (φ=1)	64	C2.34(C2^2.33C2^4)	128,1326
C₂.₃₅(C₂².₃₃C₂⁴) = C₂³.₄₉₆C₂⁴	central stem extension (φ=1)	64	C2.35(C2^2.33C2^4)	128,1328
C₂.₃₆(C₂².₃₃C₂⁴) = C₂⁴.₅₈₇C₂³	central stem extension (φ=1)	64	C2.36(C2^2.33C2^4)	128,1350
C₂.₃₇(C₂².₃₃C₂⁴) = C₂⁴.₅₈₉C₂³	central stem extension (φ=1)	64	C2.37(C2^2.33C2^4)	128,1355
C₂.₃₈(C₂².₃₃C₂⁴) = C₂³.₅₂₇C₂⁴	central stem extension (φ=1)	64	C2.38(C2^2.33C2^4)	128,1359
C₂.₃₉(C₂².₃₃C₂⁴) = C₂³.₅₃₀C₂⁴	central stem extension (φ=1)	64	C2.39(C2^2.33C2^4)	128,1362
C₂.₄₀(C₂².₃₃C₂⁴) = C₄².₁₉₀D₄	central stem extension (φ=1)	64	C2.40(C2^2.33C2^4)	128,1365
C₂.₄₁(C₂².₃₃C₂⁴) = C₄²⋊₃₀D₄	central stem extension (φ=1)	64	C2.41(C2^2.33C2^4)	128,1368
C₂.₄₂(C₂².₃₃C₂⁴) = C₂⁴.₃₇₄C₂³	central stem extension (φ=1)	64	C2.42(C2^2.33C2^4)	128,1370
C₂.₄₃(C₂².₃₃C₂⁴) = C₂⁴.₅₉₂C₂³	central stem extension (φ=1)	64	C2.43(C2^2.33C2^4)	128,1371
C₂.₄₄(C₂².₃₃C₂⁴) = C₂³.₅₄₃C₂⁴	central stem extension (φ=1)	64	C2.44(C2^2.33C2^4)	128,1375
C₂.₄₅(C₂².₃₃C₂⁴) = C₂³.₅₄₆C₂⁴	central stem extension (φ=1)	64	C2.45(C2^2.33C2^4)	128,1378
C₂.₄₆(C₂².₃₃C₂⁴) = C₂⁴.₃₇₅C₂³	central stem extension (φ=1)	64	C2.46(C2^2.33C2^4)	128,1381
C₂.₄₇(C₂².₃₃C₂⁴) = C₂³.₅₅₀C₂⁴	central stem extension (φ=1)	64	C2.47(C2^2.33C2^4)	128,1382
C₂.₄₈(C₂².₃₃C₂⁴) = C₂³.₅₅₁C₂⁴	central stem extension (φ=1)	64	C2.48(C2^2.33C2^4)	128,1383
C₂.₄₉(C₂².₃₃C₂⁴) = C₂⁴.₃₇₆C₂³	central stem extension (φ=1)	64	C2.49(C2^2.33C2^4)	128,1384
C₂.₅₀(C₂².₃₃C₂⁴) = C₂³.₅₅₃C₂⁴	central stem extension (φ=1)	64	C2.50(C2^2.33C2^4)	128,1385
C₂.₅₁(C₂².₃₃C₂⁴) = C₂³.₅₅₄C₂⁴	central stem extension (φ=1)	64	C2.51(C2^2.33C2^4)	128,1386
C₂.₅₂(C₂².₃₃C₂⁴) = C₂³.₅₅₅C₂⁴	central stem extension (φ=1)	128	C2.52(C2^2.33C2^4)	128,1387
C₂.₅₃(C₂².₃₃C₂⁴) = C₂⁴.₃₇₈C₂³	central stem extension (φ=1)	64	C2.53(C2^2.33C2^4)	128,1395
C₂.₅₄(C₂².₃₃C₂⁴) = C₄².₁₉₈D₄	central stem extension (φ=1)	64	C2.54(C2^2.33C2^4)	128,1396
C₂.₅₅(C₂².₃₃C₂⁴) = C₄²⋊₁₁Q₈	central stem extension (φ=1)	128	C2.55(C2^2.33C2^4)	128,1398
C₂.₅₆(C₂².₃₃C₂⁴) = C₂³.₅₆₇C₂⁴	central stem extension (φ=1)	64	C2.56(C2^2.33C2^4)	128,1399
C₂.₅₇(C₂².₃₃C₂⁴) = C₂³.₅₈₀C₂⁴	central stem extension (φ=1)	64	C2.57(C2^2.33C2^4)	128,1412
C₂.₅₈(C₂².₃₃C₂⁴) = C₂³.₅₈₁C₂⁴	central stem extension (φ=1)	64	C2.58(C2^2.33C2^4)	128,1413
C₂.₅₉(C₂².₃₃C₂⁴) = C₂⁴.₃₉₄C₂³	central stem extension (φ=1)	64	C2.59(C2^2.33C2^4)	128,1419
C₂.₆₀(C₂².₃₃C₂⁴) = C₂³.₅₈₉C₂⁴	central stem extension (φ=1)	64	C2.60(C2^2.33C2^4)	128,1421
C₂.₆₁(C₂².₃₃C₂⁴) = C₂³.₅₉₀C₂⁴	central stem extension (φ=1)	64	C2.61(C2^2.33C2^4)	128,1422
C₂.₆₂(C₂².₃₃C₂⁴) = C₂³.₅₉₁C₂⁴	central stem extension (φ=1)	64	C2.62(C2^2.33C2^4)	128,1423
C₂.₆₃(C₂².₃₃C₂⁴) = C₂³.₅₉₃C₂⁴	central stem extension (φ=1)	64	C2.63(C2^2.33C2^4)	128,1425
C₂.₆₄(C₂².₃₃C₂⁴) = C₂⁴.₄₀₁C₂³	central stem extension (φ=1)	64	C2.64(C2^2.33C2^4)	128,1426
C₂.₆₅(C₂².₃₃C₂⁴) = C₂³.₅₉₅C₂⁴	central stem extension (φ=1)	64	C2.65(C2^2.33C2^4)	128,1427
C₂.₆₆(C₂².₃₃C₂⁴) = C₂⁴.₄₀₃C₂³	central stem extension (φ=1)	64	C2.66(C2^2.33C2^4)	128,1428
C₂.₆₇(C₂².₃₃C₂⁴) = C₂³.₆₀₅C₂⁴	central stem extension (φ=1)	64	C2.67(C2^2.33C2^4)	128,1437
C₂.₆₈(C₂².₃₃C₂⁴) = C₂³.₆₀₆C₂⁴	central stem extension (φ=1)	64	C2.68(C2^2.33C2^4)	128,1438
C₂.₆₉(C₂².₃₃C₂⁴) = C₂³.₆₀₇C₂⁴	central stem extension (φ=1)	64	C2.69(C2^2.33C2^4)	128,1439
C₂.₇₀(C₂².₃₃C₂⁴) = C₂³.₆₀₈C₂⁴	central stem extension (φ=1)	64	C2.70(C2^2.33C2^4)	128,1440
C₂.₇₁(C₂².₃₃C₂⁴) = C₂³.₆₁₁C₂⁴	central stem extension (φ=1)	64	C2.71(C2^2.33C2^4)	128,1443
C₂.₇₂(C₂².₃₃C₂⁴) = C₂³.₆₁₈C₂⁴	central stem extension (φ=1)	64	C2.72(C2^2.33C2^4)	128,1450
C₂.₇₃(C₂².₃₃C₂⁴) = C₂³.₆₂₀C₂⁴	central stem extension (φ=1)	64	C2.73(C2^2.33C2^4)	128,1452
C₂.₇₄(C₂².₃₃C₂⁴) = C₂³.₆₂₁C₂⁴	central stem extension (φ=1)	64	C2.74(C2^2.33C2^4)	128,1453
C₂.₇₅(C₂².₃₃C₂⁴) = C₂⁴.₄₁₈C₂³	central stem extension (φ=1)	64	C2.75(C2^2.33C2^4)	128,1455
C₂.₇₆(C₂².₃₃C₂⁴) = C₂³.₆₂₄C₂⁴	central stem extension (φ=1)	64	C2.76(C2^2.33C2^4)	128,1456
C₂.₇₇(C₂².₃₃C₂⁴) = C₂³.₆₂₆C₂⁴	central stem extension (φ=1)	128	C2.77(C2^2.33C2^4)	128,1458
C₂.₇₈(C₂².₃₃C₂⁴) = C₂³.₆₂₇C₂⁴	central stem extension (φ=1)	64	C2.78(C2^2.33C2^4)	128,1459
C₂.₇₉(C₂².₃₃C₂⁴) = C₂⁴.₄₂₀C₂³	central stem extension (φ=1)	64	C2.79(C2^2.33C2^4)	128,1460
C₂.₈₀(C₂².₃₃C₂⁴) = C₂³.₆₃₂C₂⁴	central stem extension (φ=1)	64	C2.80(C2^2.33C2^4)	128,1464
C₂.₈₁(C₂².₃₃C₂⁴) = C₂³.₆₃₇C₂⁴	central stem extension (φ=1)	64	C2.81(C2^2.33C2^4)	128,1469
C₂.₈₂(C₂².₃₃C₂⁴) = C₂⁴.₄₂₆C₂³	central stem extension (φ=1)	64	C2.82(C2^2.33C2^4)	128,1470
C₂.₈₃(C₂².₃₃C₂⁴) = C₂⁴.₄₂₇C₂³	central stem extension (φ=1)	64	C2.83(C2^2.33C2^4)	128,1471
C₂.₈₄(C₂².₃₃C₂⁴) = C₂³.₆₄₀C₂⁴	central stem extension (φ=1)	64	C2.84(C2^2.33C2^4)	128,1472
C₂.₈₅(C₂².₃₃C₂⁴) = C₂³.₆₄₃C₂⁴	central stem extension (φ=1)	64	C2.85(C2^2.33C2^4)	128,1475
C₂.₈₆(C₂².₃₃C₂⁴) = C₂⁴.₄₃₀C₂³	central stem extension (φ=1)	64	C2.86(C2^2.33C2^4)	128,1476
C₂.₈₇(C₂².₃₃C₂⁴) = C₂³.₆₄₅C₂⁴	central stem extension (φ=1)	64	C2.87(C2^2.33C2^4)	128,1477
C₂.₈₈(C₂².₃₃C₂⁴) = C₂⁴.₄₃₂C₂³	central stem extension (φ=1)	64	C2.88(C2^2.33C2^4)	128,1478
C₂.₈₉(C₂².₃₃C₂⁴) = C₂³.₆₄₇C₂⁴	central stem extension (φ=1)	64	C2.89(C2^2.33C2^4)	128,1479
C₂.₉₀(C₂².₃₃C₂⁴) = C₂⁴.₄₃₅C₂³	central stem extension (φ=1)	64	C2.90(C2^2.33C2^4)	128,1482
C₂.₉₁(C₂².₃₃C₂⁴) = C₂⁴.₄₃₈C₂³	central stem extension (φ=1)	64	C2.91(C2^2.33C2^4)	128,1489
C₂.₉₂(C₂².₃₃C₂⁴) = C₂⁴.₄₄₃C₂³	central stem extension (φ=1)	64	C2.92(C2^2.33C2^4)	128,1497
C₂.₉₃(C₂².₃₃C₂⁴) = C₂³.₆₆₇C₂⁴	central stem extension (φ=1)	128	C2.93(C2^2.33C2^4)	128,1499
C₂.₉₄(C₂².₃₃C₂⁴) = C₂³.₆₆₉C₂⁴	central stem extension (φ=1)	128	C2.94(C2^2.33C2^4)	128,1501
C₂.₉₅(C₂².₃₃C₂⁴) = C₂⁴.₄₄₅C₂³	central stem extension (φ=1)	64	C2.95(C2^2.33C2^4)	128,1502
C₂.₉₆(C₂².₃₃C₂⁴) = C₂³.₆₇₁C₂⁴	central stem extension (φ=1)	64	C2.96(C2^2.33C2^4)	128,1503
C₂.₉₇(C₂².₃₃C₂⁴) = C₂³.₆₇₃C₂⁴	central stem extension (φ=1)	64	C2.97(C2^2.33C2^4)	128,1505
C₂.₉₈(C₂².₃₃C₂⁴) = C₂³.₆₇₅C₂⁴	central stem extension (φ=1)	64	C2.98(C2^2.33C2^4)	128,1507
C₂.₉₉(C₂².₃₃C₂⁴) = C₂³.₆₇₆C₂⁴	central stem extension (φ=1)	128	C2.99(C2^2.33C2^4)	128,1508
C₂.₁₀₀(C₂².₃₃C₂⁴) = C₂³.₆₇₇C₂⁴	central stem extension (φ=1)	64	C2.100(C2^2.33C2^4)	128,1509
C₂.₁₀₁(C₂².₃₃C₂⁴) = C₂³.₆₈₁C₂⁴	central stem extension (φ=1)	64	C2.101(C2^2.33C2^4)	128,1513
C₂.₁₀₂(C₂².₃₃C₂⁴) = C₂³.₆₈₂C₂⁴	central stem extension (φ=1)	64	C2.102(C2^2.33C2^4)	128,1514
C₂.₁₀₃(C₂².₃₃C₂⁴) = C₂³.₆₈₃C₂⁴	central stem extension (φ=1)	64	C2.103(C2^2.33C2^4)	128,1515
C₂.₁₀₄(C₂².₃₃C₂⁴) = C₂³.₆₈₅C₂⁴	central stem extension (φ=1)	64	C2.104(C2^2.33C2^4)	128,1517
C₂.₁₀₅(C₂².₃₃C₂⁴) = C₂³.₆₈₆C₂⁴	central stem extension (φ=1)	64	C2.105(C2^2.33C2^4)	128,1518
C₂.₁₀₆(C₂².₃₃C₂⁴) = C₂³.₆₈₇C₂⁴	central stem extension (φ=1)	64	C2.106(C2^2.33C2^4)	128,1519
C₂.₁₀₇(C₂².₃₃C₂⁴) = C₂³.₆₈₉C₂⁴	central stem extension (φ=1)	128	C2.107(C2^2.33C2^4)	128,1521
C₂.₁₀₈(C₂².₃₃C₂⁴) = C₂⁴.₄₅₄C₂³	central stem extension (φ=1)	64	C2.108(C2^2.33C2^4)	128,1522
C₂.₁₀₉(C₂².₃₃C₂⁴) = C₂³.₆₉₁C₂⁴	central stem extension (φ=1)	128	C2.109(C2^2.33C2^4)	128,1523
C₂.₁₁₀(C₂².₃₃C₂⁴) = C₂³.₆₉₂C₂⁴	central stem extension (φ=1)	128	C2.110(C2^2.33C2^4)	128,1524
C₂.₁₁₁(C₂².₃₃C₂⁴) = C₂³.₆₉₃C₂⁴	central stem extension (φ=1)	64	C2.111(C2^2.33C2^4)	128,1525
C₂.₁₁₂(C₂².₃₃C₂⁴) = C₂³.₆₉₄C₂⁴	central stem extension (φ=1)	128	C2.112(C2^2.33C2^4)	128,1526
C₂.₁₁₃(C₂².₃₃C₂⁴) = C₂³.₆₉₅C₂⁴	central stem extension (φ=1)	64	C2.113(C2^2.33C2^4)	128,1527
C₂.₁₁₄(C₂².₃₃C₂⁴) = C₂³.₆₉₆C₂⁴	central stem extension (φ=1)	64	C2.114(C2^2.33C2^4)	128,1528
C₂.₁₁₅(C₂².₃₃C₂⁴) = C₂³.₆₉₈C₂⁴	central stem extension (φ=1)	64	C2.115(C2^2.33C2^4)	128,1530
C₂.₁₁₆(C₂².₃₃C₂⁴) = C₂³.₇₀₂C₂⁴	central stem extension (φ=1)	128	C2.116(C2^2.33C2^4)	128,1534
C₂.₁₁₇(C₂².₃₃C₂⁴) = C₂³.₇₀₅C₂⁴	central stem extension (φ=1)	128	C2.117(C2^2.33C2^4)	128,1537
C₂.₁₁₈(C₂².₃₃C₂⁴) = C₂³.₇₀₇C₂⁴	central stem extension (φ=1)	64	C2.118(C2^2.33C2^4)	128,1539
C₂.₁₁₉(C₂².₃₃C₂⁴) = C₂³.₇₀₈C₂⁴	central stem extension (φ=1)	64	C2.119(C2^2.33C2^4)	128,1540
C₂.₁₂₀(C₂².₃₃C₂⁴) = C₂³.₇₀₉C₂⁴	central stem extension (φ=1)	128	C2.120(C2^2.33C2^4)	128,1541
C₂.₁₂₁(C₂².₃₃C₂⁴) = C₂³.₇₁₀C₂⁴	central stem extension (φ=1)	128	C2.121(C2^2.33C2^4)	128,1542
C₂.₁₂₂(C₂².₃₃C₂⁴) = C₂³.₇₂₄C₂⁴	central stem extension (φ=1)	64	C2.122(C2^2.33C2^4)	128,1556
C₂.₁₂₃(C₂².₃₃C₂⁴) = C₂³.₇₂₆C₂⁴	central stem extension (φ=1)	64	C2.123(C2^2.33C2^4)	128,1558
C₂.₁₂₄(C₂².₃₃C₂⁴) = C₂³.₇₂₇C₂⁴	central stem extension (φ=1)	64	C2.124(C2^2.33C2^4)	128,1559
C₂.₁₂₅(C₂².₃₃C₂⁴) = C₂³.₇₃₄C₂⁴	central stem extension (φ=1)	64	C2.125(C2^2.33C2^4)	128,1566
C₂.₁₂₆(C₂².₃₃C₂⁴) = C₂³.₇₃₅C₂⁴	central stem extension (φ=1)	64	C2.126(C2^2.33C2^4)	128,1567
C₂.₁₂₇(C₂².₃₃C₂⁴) = C₂³.₇₃₆C₂⁴	central stem extension (φ=1)	64	C2.127(C2^2.33C2^4)	128,1568
C₂.₁₂₈(C₂².₃₃C₂⁴) = C₂³.₇₃₇C₂⁴	central stem extension (φ=1)	64	C2.128(C2^2.33C2^4)	128,1569
C₂.₁₂₉(C₂².₃₃C₂⁴) = C₂³.₇₃₈C₂⁴	central stem extension (φ=1)	64	C2.129(C2^2.33C2^4)	128,1570
C₂.₁₃₀(C₂².₃₃C₂⁴) = C₂³.₇₃₉C₂⁴	central stem extension (φ=1)	128	C2.130(C2^2.33C2^4)	128,1571

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C22.33C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₃₃C₂⁴