Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₄₅C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₄₅C₂⁴

		d	ρ	Label	ID
C₂×C₂².₄₅C₂⁴		32		C2xC2^2.45C2^4	128,2201

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₄₅C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₄₅C₂⁴) = C₂³.₂₂₄C₂⁴	central extension (φ=1)	32	C2.1(C2^2.45C2^4)	128,1074
C₂.₂(C₂².₄₅C₂⁴) = C₂³.₂₂₅C₂⁴	central extension (φ=1)	64	C2.2(C2^2.45C2^4)	128,1075
C₂.₃(C₂².₄₅C₂⁴) = C₂³.₂₃₅C₂⁴	central extension (φ=1)	64	C2.3(C2^2.45C2^4)	128,1085
C₂.₄(C₂².₄₅C₂⁴) = C₂³.₂₄₀C₂⁴	central extension (φ=1)	32	C2.4(C2^2.45C2^4)	128,1090
C₂.₅(C₂².₄₅C₂⁴) = C₂³.₂₄₁C₂⁴	central extension (φ=1)	64	C2.5(C2^2.45C2^4)	128,1091
C₂.₆(C₂².₄₅C₂⁴) = C₂³.₂₅₀C₂⁴	central extension (φ=1)	64	C2.6(C2^2.45C2^4)	128,1100
C₂.₇(C₂².₄₅C₂⁴) = C₂⁴.₂₂₁C₂³	central extension (φ=1)	64	C2.7(C2^2.45C2^4)	128,1104
C₂.₈(C₂².₄₅C₂⁴) = C₂³.₂₅₅C₂⁴	central extension (φ=1)	64	C2.8(C2^2.45C2^4)	128,1105
C₂.₉(C₂².₄₅C₂⁴) = C₂⁴.₂₂₃C₂³	central extension (φ=1)	64	C2.9(C2^2.45C2^4)	128,1106
C₂.₁₀(C₂².₄₅C₂⁴) = C₂³.₃₁₁C₂⁴	central stem extension (φ=1)	32	C2.10(C2^2.45C2^4)	128,1143
C₂.₁₁(C₂².₄₅C₂⁴) = C₂⁴.₉₅D₄	central stem extension (φ=1)	32	C2.11(C2^2.45C2^4)	128,1144
C₂.₁₂(C₂².₄₅C₂⁴) = C₂³.₃₁₈C₂⁴	central stem extension (φ=1)	32	C2.12(C2^2.45C2^4)	128,1150
C₂.₁₃(C₂².₄₅C₂⁴) = C₂⁴.₅₆₃C₂³	central stem extension (φ=1)	64	C2.13(C2^2.45C2^4)	128,1151
C₂.₁₄(C₂².₄₅C₂⁴) = C₂⁴⋊₄Q₈	central stem extension (φ=1)	32	C2.14(C2^2.45C2^4)	128,1169
C₂.₁₅(C₂².₄₅C₂⁴) = C₂⁴.₅₆₇C₂³	central stem extension (φ=1)	64	C2.15(C2^2.45C2^4)	128,1170
C₂.₁₆(C₂².₄₅C₂⁴) = C₂⁴.₂₇₈C₂³	central stem extension (φ=1)	64	C2.16(C2^2.45C2^4)	128,1189
C₂.₁₇(C₂².₄₅C₂⁴) = C₂⁴.₂₈₂C₂³	central stem extension (φ=1)	64	C2.17(C2^2.45C2^4)	128,1193
C₂.₁₈(C₂².₄₅C₂⁴) = C₂⁴.₂₈₃C₂³	central stem extension (φ=1)	64	C2.18(C2^2.45C2^4)	128,1195
C₂.₁₉(C₂².₄₅C₂⁴) = C₂³.₃₆₇C₂⁴	central stem extension (φ=1)	64	C2.19(C2^2.45C2^4)	128,1199
C₂.₂₀(C₂².₄₅C₂⁴) = C₂⁴.₂₉₀C₂³	central stem extension (φ=1)	64	C2.20(C2^2.45C2^4)	128,1203
C₂.₂₁(C₂².₄₅C₂⁴) = C₂³.₃₇₂C₂⁴	central stem extension (φ=1)	32	C2.21(C2^2.45C2^4)	128,1204
C₂.₂₂(C₂².₄₅C₂⁴) = C₂³.₃₇₇C₂⁴	central stem extension (φ=1)	64	C2.22(C2^2.45C2^4)	128,1209
C₂.₂₃(C₂².₄₅C₂⁴) = C₂³.₃₇₉C₂⁴	central stem extension (φ=1)	64	C2.23(C2^2.45C2^4)	128,1211
C₂.₂₄(C₂².₄₅C₂⁴) = C₂³.₃₈₀C₂⁴	central stem extension (φ=1)	32	C2.24(C2^2.45C2^4)	128,1212
C₂.₂₅(C₂².₄₅C₂⁴) = C₂³.₃₈₂C₂⁴	central stem extension (φ=1)	32	C2.25(C2^2.45C2^4)	128,1214
C₂.₂₆(C₂².₄₅C₂⁴) = C₂⁴.₉₆D₄	central stem extension (φ=1)	32	C2.26(C2^2.45C2^4)	128,1215
C₂.₂₇(C₂².₄₅C₂⁴) = C₂³.₃₈₈C₂⁴	central stem extension (φ=1)	64	C2.27(C2^2.45C2^4)	128,1220
C₂.₂₈(C₂².₄₅C₂⁴) = C₂⁴.₅₇₇C₂³	central stem extension (φ=1)	64	C2.28(C2^2.45C2^4)	128,1225
C₂.₂₉(C₂².₄₅C₂⁴) = C₂³.₃₉₈C₂⁴	central stem extension (φ=1)	64	C2.29(C2^2.45C2^4)	128,1230
C₂.₃₀(C₂².₄₅C₂⁴) = C₂³.₄₀₅C₂⁴	central stem extension (φ=1)	64	C2.30(C2^2.45C2^4)	128,1237
C₂.₃₁(C₂².₄₅C₂⁴) = C₂³.₄₁₀C₂⁴	central stem extension (φ=1)	64	C2.31(C2^2.45C2^4)	128,1242
C₂.₃₂(C₂².₄₅C₂⁴) = C₂⁴.₃₀₉C₂³	central stem extension (φ=1)	64	C2.32(C2^2.45C2^4)	128,1247
C₂.₃₃(C₂².₄₅C₂⁴) = C₂³.₄₁₆C₂⁴	central stem extension (φ=1)	64	C2.33(C2^2.45C2^4)	128,1248
C₂.₃₄(C₂².₄₅C₂⁴) = C₂³.₄₁₇C₂⁴	central stem extension (φ=1)	64	C2.34(C2^2.45C2^4)	128,1249
C₂.₃₅(C₂².₄₅C₂⁴) = C₂³.₄₁₈C₂⁴	central stem extension (φ=1)	64	C2.35(C2^2.45C2^4)	128,1250
C₂.₃₆(C₂².₄₅C₂⁴) = C₂³.₄₂₀C₂⁴	central stem extension (φ=1)	128	C2.36(C2^2.45C2^4)	128,1252
C₂.₃₇(C₂².₄₅C₂⁴) = C₂⁴.₃₁₁C₂³	central stem extension (φ=1)	64	C2.37(C2^2.45C2^4)	128,1253
C₂.₃₈(C₂².₄₅C₂⁴) = C₂³.₄₂₂C₂⁴	central stem extension (φ=1)	64	C2.38(C2^2.45C2^4)	128,1254
C₂.₃₉(C₂².₄₅C₂⁴) = C₂⁴.₃₁₃C₂³	central stem extension (φ=1)	64	C2.39(C2^2.45C2^4)	128,1255
C₂.₄₀(C₂².₄₅C₂⁴) = C₂³.₄₂₆C₂⁴	central stem extension (φ=1)	64	C2.40(C2^2.45C2^4)	128,1258
C₂.₄₁(C₂².₄₅C₂⁴) = C₂⁴.₃₁₅C₂³	central stem extension (φ=1)	64	C2.41(C2^2.45C2^4)	128,1259
C₂.₄₂(C₂².₄₅C₂⁴) = C₂³.₄₃₀C₂⁴	central stem extension (φ=1)	64	C2.42(C2^2.45C2^4)	128,1262
C₂.₄₃(C₂².₄₅C₂⁴) = C₂³.₄₃₁C₂⁴	central stem extension (φ=1)	64	C2.43(C2^2.45C2^4)	128,1263
C₂.₄₄(C₂².₄₅C₂⁴) = C₂³.₄₃₂C₂⁴	central stem extension (φ=1)	64	C2.44(C2^2.45C2^4)	128,1264
C₂.₄₅(C₂².₄₅C₂⁴) = C₂³.₄₃₄C₂⁴	central stem extension (φ=1)	32	C2.45(C2^2.45C2^4)	128,1266
C₂.₄₆(C₂².₄₅C₂⁴) = C₂⁴.₃₂₆C₂³	central stem extension (φ=1)	64	C2.46(C2^2.45C2^4)	128,1285
C₂.₄₇(C₂².₄₅C₂⁴) = C₂⁴.₃₂₇C₂³	central stem extension (φ=1)	64	C2.47(C2^2.45C2^4)	128,1286
C₂.₄₈(C₂².₄₅C₂⁴) = C₂³.₄₅₇C₂⁴	central stem extension (φ=1)	64	C2.48(C2^2.45C2^4)	128,1289
C₂.₄₉(C₂².₄₅C₂⁴) = C₂⁴.₃₃₂C₂³	central stem extension (φ=1)	64	C2.49(C2^2.45C2^4)	128,1292
C₂.₅₀(C₂².₄₅C₂⁴) = C₂³.₄₆₁C₂⁴	central stem extension (φ=1)	32	C2.50(C2^2.45C2^4)	128,1293
C₂.₅₁(C₂².₄₅C₂⁴) = C₂⁴.₅₈₃C₂³	central stem extension (φ=1)	64	C2.51(C2^2.45C2^4)	128,1296
C₂.₅₂(C₂².₄₅C₂⁴) = C₂⁴.₅₈₄C₂³	central stem extension (φ=1)	64	C2.52(C2^2.45C2^4)	128,1301
C₂.₅₃(C₂².₄₅C₂⁴) = C₂³.₄₇₂C₂⁴	central stem extension (φ=1)	64	C2.53(C2^2.45C2^4)	128,1304
C₂.₅₄(C₂².₄₅C₂⁴) = C₂³.₄₇₃C₂⁴	central stem extension (φ=1)	64	C2.54(C2^2.45C2^4)	128,1305
C₂.₅₅(C₂².₄₅C₂⁴) = C₂⁴.₃₃₈C₂³	central stem extension (φ=1)	64	C2.55(C2^2.45C2^4)	128,1306
C₂.₅₆(C₂².₄₅C₂⁴) = C₂⁴.₃₃₉C₂³	central stem extension (φ=1)	64	C2.56(C2^2.45C2^4)	128,1307
C₂.₅₇(C₂².₄₅C₂⁴) = C₂⁴.₃₄₀C₂³	central stem extension (φ=1)	64	C2.57(C2^2.45C2^4)	128,1308
C₂.₅₈(C₂².₄₅C₂⁴) = C₂⁴.₃₄₁C₂³	central stem extension (φ=1)	64	C2.58(C2^2.45C2^4)	128,1309
C₂.₅₉(C₂².₄₅C₂⁴) = C₂³.₄₇₈C₂⁴	central stem extension (φ=1)	64	C2.59(C2^2.45C2^4)	128,1310
C₂.₆₀(C₂².₄₅C₂⁴) = C₂³.₄₈₆C₂⁴	central stem extension (φ=1)	128	C2.60(C2^2.45C2^4)	128,1318
C₂.₆₁(C₂².₄₅C₂⁴) = C₂³.₄₈₈C₂⁴	central stem extension (φ=1)	128	C2.61(C2^2.45C2^4)	128,1320
C₂.₆₂(C₂².₄₅C₂⁴) = C₂⁴.₃₄₆C₂³	central stem extension (φ=1)	64	C2.62(C2^2.45C2^4)	128,1321
C₂.₆₃(C₂².₄₅C₂⁴) = C₂⁴.₃₄₇C₂³	central stem extension (φ=1)	64	C2.63(C2^2.45C2^4)	128,1327
C₂.₆₄(C₂².₄₅C₂⁴) = C₂⁴.₃₄₈C₂³	central stem extension (φ=1)	64	C2.64(C2^2.45C2^4)	128,1329
C₂.₆₅(C₂².₄₅C₂⁴) = C₄²⋊₂₂D₄	central stem extension (φ=1)	64	C2.65(C2^2.45C2^4)	128,1330
C₂.₆₆(C₂².₄₅C₂⁴) = C₂³.₅₀₀C₂⁴	central stem extension (φ=1)	64	C2.66(C2^2.45C2^4)	128,1332
C₂.₆₇(C₂².₄₅C₂⁴) = C₄²⋊₂₃D₄	central stem extension (φ=1)	64	C2.67(C2^2.45C2^4)	128,1333
C₂.₆₈(C₂².₄₅C₂⁴) = C₂³.₅₀₂C₂⁴	central stem extension (φ=1)	64	C2.68(C2^2.45C2^4)	128,1334
C₂.₆₉(C₂².₄₅C₂⁴) = C₄²⋊₂₄D₄	central stem extension (φ=1)	64	C2.69(C2^2.45C2^4)	128,1335
C₂.₇₀(C₂².₄₅C₂⁴) = C₄²⋊₈Q₈	central stem extension (φ=1)	128	C2.70(C2^2.45C2^4)	128,1337
C₂.₇₁(C₂².₄₅C₂⁴) = C₂⁴.₃₅₅C₂³	central stem extension (φ=1)	64	C2.71(C2^2.45C2^4)	128,1339
C₂.₇₂(C₂².₄₅C₂⁴) = C₄²⋊₂₅D₄	central stem extension (φ=1)	64	C2.72(C2^2.45C2^4)	128,1341
C₂.₇₃(C₂².₄₅C₂⁴) = C₄²⋊₂₆D₄	central stem extension (φ=1)	64	C2.73(C2^2.45C2^4)	128,1342
C₂.₇₄(C₂².₄₅C₂⁴) = C₄²⋊₉Q₈	central stem extension (φ=1)	128	C2.74(C2^2.45C2^4)	128,1344
C₂.₇₅(C₂².₄₅C₂⁴) = C₂³.₅₈₄C₂⁴	central stem extension (φ=1)	32	C2.75(C2^2.45C2^4)	128,1416
C₂.₇₆(C₂².₄₅C₂⁴) = C₂³.₅₈₅C₂⁴	central stem extension (φ=1)	32	C2.76(C2^2.45C2^4)	128,1417
C₂.₇₇(C₂².₄₅C₂⁴) = C₂³.₅₉₃C₂⁴	central stem extension (φ=1)	64	C2.77(C2^2.45C2^4)	128,1425
C₂.₇₈(C₂².₄₅C₂⁴) = C₂⁴.₄₀₃C₂³	central stem extension (φ=1)	64	C2.78(C2^2.45C2^4)	128,1428
C₂.₇₉(C₂².₄₅C₂⁴) = C₂³.₅₉₇C₂⁴	central stem extension (φ=1)	32	C2.79(C2^2.45C2^4)	128,1429
C₂.₈₀(C₂².₄₅C₂⁴) = C₂³.₆₀₅C₂⁴	central stem extension (φ=1)	64	C2.80(C2^2.45C2^4)	128,1437
C₂.₈₁(C₂².₄₅C₂⁴) = C₂³.₆₀₆C₂⁴	central stem extension (φ=1)	64	C2.81(C2^2.45C2^4)	128,1438
C₂.₈₂(C₂².₄₅C₂⁴) = C₂³.₆₁₇C₂⁴	central stem extension (φ=1)	64	C2.82(C2^2.45C2^4)	128,1449
C₂.₈₃(C₂².₄₅C₂⁴) = C₂³.₆₂₂C₂⁴	central stem extension (φ=1)	64	C2.83(C2^2.45C2^4)	128,1454
C₂.₈₄(C₂².₄₅C₂⁴) = C₂⁴.₄₁₈C₂³	central stem extension (φ=1)	64	C2.84(C2^2.45C2^4)	128,1455
C₂.₈₅(C₂².₄₅C₂⁴) = C₂⁴.₄₂₀C₂³	central stem extension (φ=1)	64	C2.85(C2^2.45C2^4)	128,1460
C₂.₈₆(C₂².₄₅C₂⁴) = C₂³.₆₃₀C₂⁴	central stem extension (φ=1)	64	C2.86(C2^2.45C2^4)	128,1462
C₂.₈₇(C₂².₄₅C₂⁴) = C₂³.₆₃₅C₂⁴	central stem extension (φ=1)	32	C2.87(C2^2.45C2^4)	128,1467
C₂.₈₈(C₂².₄₅C₂⁴) = C₂³.₆₃₆C₂⁴	central stem extension (φ=1)	32	C2.88(C2^2.45C2^4)	128,1468
C₂.₈₉(C₂².₄₅C₂⁴) = C₂³.₆₃₇C₂⁴	central stem extension (φ=1)	64	C2.89(C2^2.45C2^4)	128,1469
C₂.₉₀(C₂².₄₅C₂⁴) = C₂⁴.₄₂₆C₂³	central stem extension (φ=1)	64	C2.90(C2^2.45C2^4)	128,1470
C₂.₉₁(C₂².₄₅C₂⁴) = C₂⁴.₄₂₇C₂³	central stem extension (φ=1)	64	C2.91(C2^2.45C2^4)	128,1471
C₂.₉₂(C₂².₄₅C₂⁴) = C₂³.₆₄₀C₂⁴	central stem extension (φ=1)	64	C2.92(C2^2.45C2^4)	128,1472
C₂.₉₃(C₂².₄₅C₂⁴) = C₂³.₆₄₁C₂⁴	central stem extension (φ=1)	64	C2.93(C2^2.45C2^4)	128,1473
C₂.₉₄(C₂².₄₅C₂⁴) = C₂⁴.₄₂₈C₂³	central stem extension (φ=1)	64	C2.94(C2^2.45C2^4)	128,1474
C₂.₉₅(C₂².₄₅C₂⁴) = C₂³.₆₄₃C₂⁴	central stem extension (φ=1)	64	C2.95(C2^2.45C2^4)	128,1475
C₂.₉₆(C₂².₄₅C₂⁴) = C₂⁴.₄₃₀C₂³	central stem extension (φ=1)	64	C2.96(C2^2.45C2^4)	128,1476
C₂.₉₇(C₂².₄₅C₂⁴) = C₂³.₆₄₅C₂⁴	central stem extension (φ=1)	64	C2.97(C2^2.45C2^4)	128,1477
C₂.₉₈(C₂².₄₅C₂⁴) = C₂⁴.₄₃₂C₂³	central stem extension (φ=1)	64	C2.98(C2^2.45C2^4)	128,1478
C₂.₉₉(C₂².₄₅C₂⁴) = C₂³.₆₄₇C₂⁴	central stem extension (φ=1)	64	C2.99(C2^2.45C2^4)	128,1479
C₂.₁₀₀(C₂².₄₅C₂⁴) = C₂⁴.₄₃₄C₂³	central stem extension (φ=1)	64	C2.100(C2^2.45C2^4)	128,1480
C₂.₁₀₁(C₂².₄₅C₂⁴) = C₂³.₆₄₉C₂⁴	central stem extension (φ=1)	64	C2.101(C2^2.45C2^4)	128,1481
C₂.₁₀₂(C₂².₄₅C₂⁴) = C₂⁴.₄₃₅C₂³	central stem extension (φ=1)	64	C2.102(C2^2.45C2^4)	128,1482
C₂.₁₀₃(C₂².₄₅C₂⁴) = C₂³.₆₅₁C₂⁴	central stem extension (φ=1)	64	C2.103(C2^2.45C2^4)	128,1483
C₂.₁₀₄(C₂².₄₅C₂⁴) = C₂³.₆₅₂C₂⁴	central stem extension (φ=1)	64	C2.104(C2^2.45C2^4)	128,1484
C₂.₁₀₅(C₂².₄₅C₂⁴) = C₂⁴.₄₃₇C₂³	central stem extension (φ=1)	64	C2.105(C2^2.45C2^4)	128,1485
C₂.₁₀₆(C₂².₄₅C₂⁴) = C₂³.₆₅₄C₂⁴	central stem extension (φ=1)	64	C2.106(C2^2.45C2^4)	128,1486
C₂.₁₀₇(C₂².₄₅C₂⁴) = C₂³.₆₅₅C₂⁴	central stem extension (φ=1)	128	C2.107(C2^2.45C2^4)	128,1487
C₂.₁₀₈(C₂².₄₅C₂⁴) = C₂³.₆₅₆C₂⁴	central stem extension (φ=1)	64	C2.108(C2^2.45C2^4)	128,1488
C₂.₁₀₉(C₂².₄₅C₂⁴) = C₂⁴.₄₃₈C₂³	central stem extension (φ=1)	64	C2.109(C2^2.45C2^4)	128,1489
C₂.₁₁₀(C₂².₄₅C₂⁴) = C₂³.₆₅₈C₂⁴	central stem extension (φ=1)	128	C2.110(C2^2.45C2^4)	128,1490
C₂.₁₁₁(C₂².₄₅C₂⁴) = C₂³.₆₅₉C₂⁴	central stem extension (φ=1)	64	C2.111(C2^2.45C2^4)	128,1491
C₂.₁₁₂(C₂².₄₅C₂⁴) = C₂³.₆₆₀C₂⁴	central stem extension (φ=1)	64	C2.112(C2^2.45C2^4)	128,1492
C₂.₁₁₃(C₂².₄₅C₂⁴) = C₂⁴.₄₄₀C₂³	central stem extension (φ=1)	64	C2.113(C2^2.45C2^4)	128,1493
C₂.₁₁₄(C₂².₄₅C₂⁴) = C₂³.₆₆₂C₂⁴	central stem extension (φ=1)	128	C2.114(C2^2.45C2^4)	128,1494
C₂.₁₁₅(C₂².₄₅C₂⁴) = C₂³.₆₆₃C₂⁴	central stem extension (φ=1)	64	C2.115(C2^2.45C2^4)	128,1495
C₂.₁₁₆(C₂².₄₅C₂⁴) = C₂³.₆₆₄C₂⁴	central stem extension (φ=1)	64	C2.116(C2^2.45C2^4)	128,1496
C₂.₁₁₇(C₂².₄₅C₂⁴) = C₂³.₆₇₈C₂⁴	central stem extension (φ=1)	64	C2.117(C2^2.45C2^4)	128,1510
C₂.₁₁₈(C₂².₄₅C₂⁴) = C₂³.₆₈₂C₂⁴	central stem extension (φ=1)	64	C2.118(C2^2.45C2^4)	128,1514
C₂.₁₁₉(C₂².₄₅C₂⁴) = C₂³.₆₈₆C₂⁴	central stem extension (φ=1)	64	C2.119(C2^2.45C2^4)	128,1518
C₂.₁₂₀(C₂².₄₅C₂⁴) = C₂³.₆₈₉C₂⁴	central stem extension (φ=1)	128	C2.120(C2^2.45C2^4)	128,1521
C₂.₁₂₁(C₂².₄₅C₂⁴) = C₂³.₆₉₆C₂⁴	central stem extension (φ=1)	64	C2.121(C2^2.45C2^4)	128,1528
C₂.₁₂₂(C₂².₄₅C₂⁴) = C₂³.₆₉₇C₂⁴	central stem extension (φ=1)	64	C2.122(C2^2.45C2^4)	128,1529
C₂.₁₂₃(C₂².₄₅C₂⁴) = C₂³.₆₉₈C₂⁴	central stem extension (φ=1)	64	C2.123(C2^2.45C2^4)	128,1530
C₂.₁₂₄(C₂².₄₅C₂⁴) = C₂³.₆₉₉C₂⁴	central stem extension (φ=1)	128	C2.124(C2^2.45C2^4)	128,1531

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.45C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₄₅C₂⁴