Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₄₆C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₄₆C₂⁴

		d	ρ	Label	ID
C₂×C₂².₄₆C₂⁴		64		C2xC2^2.46C2^4	128,2202

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₄₆C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₄₆C₂⁴) = C₂³.₂₂₅C₂⁴	central extension (φ=1)	64	C2.1(C2^2.46C2^4)	128,1075
C₂.₂(C₂².₄₆C₂⁴) = C₂³.₂₂₆C₂⁴	central extension (φ=1)	64	C2.2(C2^2.46C2^4)	128,1076
C₂.₃(C₂².₄₆C₂⁴) = C₂⁴.₂₀₈C₂³	central extension (φ=1)	64	C2.3(C2^2.46C2^4)	128,1078
C₂.₄(C₂².₄₆C₂⁴) = C₂³.₂₃₄C₂⁴	central extension (φ=1)	64	C2.4(C2^2.46C2^4)	128,1084
C₂.₅(C₂².₄₆C₂⁴) = C₂³.₂₃₈C₂⁴	central extension (φ=1)	128	C2.5(C2^2.46C2^4)	128,1088
C₂.₆(C₂².₄₆C₂⁴) = C₂³.₂₄₁C₂⁴	central extension (φ=1)	64	C2.6(C2^2.46C2^4)	128,1091
C₂.₇(C₂².₄₆C₂⁴) = C₂⁴.₅₅₈C₂³	central extension (φ=1)	64	C2.7(C2^2.46C2^4)	128,1092
C₂.₈(C₂².₄₆C₂⁴) = C₂³.₂₄₄C₂⁴	central extension (φ=1)	64	C2.8(C2^2.46C2^4)	128,1094
C₂.₉(C₂².₄₆C₂⁴) = C₂³.₂₅₂C₂⁴	central extension (φ=1)	128	C2.9(C2^2.46C2^4)	128,1102
C₂.₁₀(C₂².₄₆C₂⁴) = C₂³.₂₅₃C₂⁴	central extension (φ=1)	128	C2.10(C2^2.46C2^4)	128,1103
C₂.₁₁(C₂².₄₆C₂⁴) = C₂³.₂₅₅C₂⁴	central extension (φ=1)	64	C2.11(C2^2.46C2^4)	128,1105
C₂.₁₂(C₂².₄₆C₂⁴) = C₂³.₃₁₃C₂⁴	central stem extension (φ=1)	64	C2.12(C2^2.46C2^4)	128,1145
C₂.₁₃(C₂².₄₆C₂⁴) = C₂³.₃₁₅C₂⁴	central stem extension (φ=1)	64	C2.13(C2^2.46C2^4)	128,1147
C₂.₁₄(C₂².₄₆C₂⁴) = C₂⁴.₂₅₂C₂³	central stem extension (φ=1)	64	C2.14(C2^2.46C2^4)	128,1149
C₂.₁₅(C₂².₄₆C₂⁴) = C₂⁴.₅₆₃C₂³	central stem extension (φ=1)	64	C2.15(C2^2.46C2^4)	128,1151
C₂.₁₆(C₂².₄₆C₂⁴) = C₂³.₃₂₁C₂⁴	central stem extension (φ=1)	64	C2.16(C2^2.46C2^4)	128,1153
C₂.₁₇(C₂².₄₆C₂⁴) = C₂³.₃₂₃C₂⁴	central stem extension (φ=1)	64	C2.17(C2^2.46C2^4)	128,1155
C₂.₁₈(C₂².₄₆C₂⁴) = C₂⁴.₅₆₇C₂³	central stem extension (φ=1)	64	C2.18(C2^2.46C2^4)	128,1170
C₂.₁₉(C₂².₄₆C₂⁴) = C₂⁴.₂₆₈C₂³	central stem extension (φ=1)	64	C2.19(C2^2.46C2^4)	128,1173
C₂.₂₀(C₂².₄₆C₂⁴) = C₂⁴.₅₆₉C₂³	central stem extension (φ=1)	64	C2.20(C2^2.46C2^4)	128,1174
C₂.₂₁(C₂².₄₆C₂⁴) = C₂⁴.₂₇₉C₂³	central stem extension (φ=1)	64	C2.21(C2^2.46C2^4)	128,1190
C₂.₂₂(C₂².₄₆C₂⁴) = C₂³.₃₆₀C₂⁴	central stem extension (φ=1)	64	C2.22(C2^2.46C2^4)	128,1192
C₂.₂₃(C₂².₄₆C₂⁴) = C₂³.₃₆₂C₂⁴	central stem extension (φ=1)	128	C2.23(C2^2.46C2^4)	128,1194
C₂.₂₄(C₂².₄₆C₂⁴) = C₂³.₃₆₈C₂⁴	central stem extension (φ=1)	64	C2.24(C2^2.46C2^4)	128,1200
C₂.₂₅(C₂².₄₆C₂⁴) = C₂⁴.₂₈₉C₂³	central stem extension (φ=1)	64	C2.25(C2^2.46C2^4)	128,1202
C₂.₂₆(C₂².₄₆C₂⁴) = C₂⁴.₅₇₂C₂³	central stem extension (φ=1)	64	C2.26(C2^2.46C2^4)	128,1205
C₂.₂₇(C₂².₄₆C₂⁴) = C₂³.₃₇₅C₂⁴	central stem extension (φ=1)	64	C2.27(C2^2.46C2^4)	128,1207
C₂.₂₈(C₂².₄₆C₂⁴) = C₂³.₃₇₇C₂⁴	central stem extension (φ=1)	64	C2.28(C2^2.46C2^4)	128,1209
C₂.₂₉(C₂².₄₆C₂⁴) = C₂⁴.₂₉₅C₂³	central stem extension (φ=1)	64	C2.29(C2^2.46C2^4)	128,1210
C₂.₃₀(C₂².₄₆C₂⁴) = C₂³.₃₇₉C₂⁴	central stem extension (φ=1)	64	C2.30(C2^2.46C2^4)	128,1211
C₂.₃₁(C₂².₄₆C₂⁴) = C₂⁴.₅₇₃C₂³	central stem extension (φ=1)	64	C2.31(C2^2.46C2^4)	128,1213
C₂.₃₂(C₂².₄₆C₂⁴) = C₂⁴.₅₇₆C₂³	central stem extension (φ=1)	64	C2.32(C2^2.46C2^4)	128,1216
C₂.₃₃(C₂².₄₆C₂⁴) = C₂³.₃₈₅C₂⁴	central stem extension (φ=1)	64	C2.33(C2^2.46C2^4)	128,1217
C₂.₃₄(C₂².₄₆C₂⁴) = C₂⁴.₂₉₉C₂³	central stem extension (φ=1)	64	C2.34(C2^2.46C2^4)	128,1218
C₂.₃₅(C₂².₄₆C₂⁴) = C₂³.₃₈₈C₂⁴	central stem extension (φ=1)	64	C2.35(C2^2.46C2^4)	128,1220
C₂.₃₆(C₂².₄₆C₂⁴) = C₂⁴.₃₀₁C₂³	central stem extension (φ=1)	64	C2.36(C2^2.46C2^4)	128,1221
C₂.₃₇(C₂².₄₆C₂⁴) = C₂⁴.₅₇₇C₂³	central stem extension (φ=1)	64	C2.37(C2^2.46C2^4)	128,1225
C₂.₃₈(C₂².₄₆C₂⁴) = C₂⁴.₃₀₄C₂³	central stem extension (φ=1)	64	C2.38(C2^2.46C2^4)	128,1226
C₂.₃₉(C₂².₄₆C₂⁴) = C₂³.₃₉₅C₂⁴	central stem extension (φ=1)	64	C2.39(C2^2.46C2^4)	128,1227
C₂.₄₀(C₂².₄₆C₂⁴) = C₂³.₃₉₆C₂⁴	central stem extension (φ=1)	64	C2.40(C2^2.46C2^4)	128,1228
C₂.₄₁(C₂².₄₆C₂⁴) = C₂³.₃₉₈C₂⁴	central stem extension (φ=1)	64	C2.41(C2^2.46C2^4)	128,1230
C₂.₄₂(C₂².₄₆C₂⁴) = C₂⁴.₃₀₈C₂³	central stem extension (φ=1)	64	C2.42(C2^2.46C2^4)	128,1231
C₂.₄₃(C₂².₄₆C₂⁴) = C₂⁴.₅₇₉C₂³	central stem extension (φ=1)	64	C2.43(C2^2.46C2^4)	128,1235
C₂.₄₄(C₂².₄₆C₂⁴) = C₂³.₄₀₆C₂⁴	central stem extension (φ=1)	128	C2.44(C2^2.46C2^4)	128,1238
C₂.₄₅(C₂².₄₆C₂⁴) = C₂³.₄₀₈C₂⁴	central stem extension (φ=1)	128	C2.45(C2^2.46C2^4)	128,1240
C₂.₄₆(C₂².₄₆C₂⁴) = C₂³.₄₁₁C₂⁴	central stem extension (φ=1)	128	C2.46(C2^2.46C2^4)	128,1243
C₂.₄₇(C₂².₄₆C₂⁴) = C₂³.₄₁₄C₂⁴	central stem extension (φ=1)	128	C2.47(C2^2.46C2^4)	128,1246
C₂.₄₈(C₂².₄₆C₂⁴) = C₂⁴.₃₀₉C₂³	central stem extension (φ=1)	64	C2.48(C2^2.46C2^4)	128,1247
C₂.₄₉(C₂².₄₆C₂⁴) = C₂³.₄₁₇C₂⁴	central stem extension (φ=1)	64	C2.49(C2^2.46C2^4)	128,1249
C₂.₅₀(C₂².₄₆C₂⁴) = C₂³.₄₁₉C₂⁴	central stem extension (φ=1)	64	C2.50(C2^2.46C2^4)	128,1251
C₂.₅₁(C₂².₄₆C₂⁴) = C₂³.₄₂₀C₂⁴	central stem extension (φ=1)	128	C2.51(C2^2.46C2^4)	128,1252
C₂.₅₂(C₂².₄₆C₂⁴) = C₂³.₄₂₄C₂⁴	central stem extension (φ=1)	128	C2.52(C2^2.46C2^4)	128,1256
C₂.₅₃(C₂².₄₆C₂⁴) = C₂³.₄₂₅C₂⁴	central stem extension (φ=1)	64	C2.53(C2^2.46C2^4)	128,1257
C₂.₅₄(C₂².₄₆C₂⁴) = C₂⁴.₃₁₅C₂³	central stem extension (φ=1)	64	C2.54(C2^2.46C2^4)	128,1259
C₂.₅₅(C₂².₄₆C₂⁴) = C₂³.₄₂₈C₂⁴	central stem extension (φ=1)	128	C2.55(C2^2.46C2^4)	128,1260
C₂.₅₆(C₂².₄₆C₂⁴) = C₂³.₄₂₉C₂⁴	central stem extension (φ=1)	64	C2.56(C2^2.46C2^4)	128,1261
C₂.₅₇(C₂².₄₆C₂⁴) = C₂³.₄₃₀C₂⁴	central stem extension (φ=1)	64	C2.57(C2^2.46C2^4)	128,1262
C₂.₅₈(C₂².₄₆C₂⁴) = C₂³.₄₃₂C₂⁴	central stem extension (φ=1)	64	C2.58(C2^2.46C2^4)	128,1264
C₂.₅₉(C₂².₄₆C₂⁴) = C₂³.₄₃₃C₂⁴	central stem extension (φ=1)	128	C2.59(C2^2.46C2^4)	128,1265
C₂.₆₀(C₂².₄₆C₂⁴) = C₄².₁₆₅D₄	central stem extension (φ=1)	64	C2.60(C2^2.46C2^4)	128,1268
C₂.₆₁(C₂².₄₆C₂⁴) = C₂⁴.₃₂₆C₂³	central stem extension (φ=1)	64	C2.61(C2^2.46C2^4)	128,1285
C₂.₆₂(C₂².₄₆C₂⁴) = C₂³.₄₅₆C₂⁴	central stem extension (φ=1)	64	C2.62(C2^2.46C2^4)	128,1288
C₂.₆₃(C₂².₄₆C₂⁴) = C₂³.₄₅₈C₂⁴	central stem extension (φ=1)	64	C2.63(C2^2.46C2^4)	128,1290
C₂.₆₄(C₂².₄₆C₂⁴) = C₄².₁₇₂D₄	central stem extension (φ=1)	64	C2.64(C2^2.46C2^4)	128,1294
C₂.₆₅(C₂².₄₆C₂⁴) = C₄².₁₇₄D₄	central stem extension (φ=1)	128	C2.65(C2^2.46C2^4)	128,1297
C₂.₆₆(C₂².₄₆C₂⁴) = C₄².₃₆Q₈	central stem extension (φ=1)	128	C2.66(C2^2.46C2^4)	128,1302
C₂.₆₇(C₂².₄₆C₂⁴) = C₂³.₄₇₃C₂⁴	central stem extension (φ=1)	64	C2.67(C2^2.46C2^4)	128,1305
C₂.₆₈(C₂².₄₆C₂⁴) = C₂⁴.₃₃₉C₂³	central stem extension (φ=1)	64	C2.68(C2^2.46C2^4)	128,1307
C₂.₆₉(C₂².₄₆C₂⁴) = C₂⁴.₃₄₁C₂³	central stem extension (φ=1)	64	C2.69(C2^2.46C2^4)	128,1309
C₂.₇₀(C₂².₄₆C₂⁴) = C₂³.₄₈₅C₂⁴	central stem extension (φ=1)	128	C2.70(C2^2.46C2^4)	128,1317
C₂.₇₁(C₂².₄₆C₂⁴) = C₂³.₄₉₀C₂⁴	central stem extension (φ=1)	128	C2.71(C2^2.46C2^4)	128,1322
C₂.₇₂(C₂².₄₆C₂⁴) = C₂³.₄₉₆C₂⁴	central stem extension (φ=1)	64	C2.72(C2^2.46C2^4)	128,1328
C₂.₇₃(C₂².₄₆C₂⁴) = C₄².₁₈₃D₄	central stem extension (φ=1)	64	C2.73(C2^2.46C2^4)	128,1331
C₂.₇₄(C₂².₄₆C₂⁴) = C₄²⋊₂₃D₄	central stem extension (φ=1)	64	C2.74(C2^2.46C2^4)	128,1333
C₂.₇₅(C₂².₄₆C₂⁴) = C₄².₁₈₄D₄	central stem extension (φ=1)	64	C2.75(C2^2.46C2^4)	128,1336
C₂.₇₆(C₂².₄₆C₂⁴) = C₄².₃₈Q₈	central stem extension (φ=1)	128	C2.76(C2^2.46C2^4)	128,1338
C₂.₇₇(C₂².₄₆C₂⁴) = C₄²⋊₂₅D₄	central stem extension (φ=1)	64	C2.77(C2^2.46C2^4)	128,1341
C₂.₇₈(C₂².₄₆C₂⁴) = C₄².₁₈₅D₄	central stem extension (φ=1)	64	C2.78(C2^2.46C2^4)	128,1343
C₂.₇₉(C₂².₄₆C₂⁴) = C₄²⋊₉Q₈	central stem extension (φ=1)	128	C2.79(C2^2.46C2^4)	128,1344
C₂.₈₀(C₂².₄₆C₂⁴) = C₂⁴.₃₉₄C₂³	central stem extension (φ=1)	64	C2.80(C2^2.46C2^4)	128,1419
C₂.₈₁(C₂².₄₆C₂⁴) = C₂³.₅₉₀C₂⁴	central stem extension (φ=1)	64	C2.81(C2^2.46C2^4)	128,1422
C₂.₈₂(C₂².₄₆C₂⁴) = C₂⁴.₄₀₁C₂³	central stem extension (φ=1)	64	C2.82(C2^2.46C2^4)	128,1426
C₂.₈₃(C₂².₄₆C₂⁴) = C₂³.₅₉₅C₂⁴	central stem extension (φ=1)	64	C2.83(C2^2.46C2^4)	128,1427
C₂.₈₄(C₂².₄₆C₂⁴) = C₂⁴.₄₀₅C₂³	central stem extension (φ=1)	64	C2.84(C2^2.46C2^4)	128,1430
C₂.₈₅(C₂².₄₆C₂⁴) = C₂³.₆₀₂C₂⁴	central stem extension (φ=1)	64	C2.85(C2^2.46C2^4)	128,1434
C₂.₈₆(C₂².₄₆C₂⁴) = C₂³.₆₀₇C₂⁴	central stem extension (φ=1)	64	C2.86(C2^2.46C2^4)	128,1439
C₂.₈₇(C₂².₄₆C₂⁴) = C₂³.₆₁₉C₂⁴	central stem extension (φ=1)	128	C2.87(C2^2.46C2^4)	128,1451
C₂.₈₈(C₂².₄₆C₂⁴) = C₂³.₆₂₁C₂⁴	central stem extension (φ=1)	64	C2.88(C2^2.46C2^4)	128,1453
C₂.₈₉(C₂².₄₆C₂⁴) = C₂⁴.₄₂₆C₂³	central stem extension (φ=1)	64	C2.89(C2^2.46C2^4)	128,1470
C₂.₉₀(C₂².₄₆C₂⁴) = C₂⁴.₄₂₇C₂³	central stem extension (φ=1)	64	C2.90(C2^2.46C2^4)	128,1471
C₂.₉₁(C₂².₄₆C₂⁴) = C₂³.₆₄₁C₂⁴	central stem extension (φ=1)	64	C2.91(C2^2.46C2^4)	128,1473
C₂.₉₂(C₂².₄₆C₂⁴) = C₂³.₆₄₃C₂⁴	central stem extension (φ=1)	64	C2.92(C2^2.46C2^4)	128,1475
C₂.₉₃(C₂².₄₆C₂⁴) = C₂⁴.₄₃₀C₂³	central stem extension (φ=1)	64	C2.93(C2^2.46C2^4)	128,1476
C₂.₉₄(C₂².₄₆C₂⁴) = C₂³.₆₄₅C₂⁴	central stem extension (φ=1)	64	C2.94(C2^2.46C2^4)	128,1477
C₂.₉₅(C₂².₄₆C₂⁴) = C₂³.₆₄₇C₂⁴	central stem extension (φ=1)	64	C2.95(C2^2.46C2^4)	128,1479
C₂.₉₆(C₂².₄₆C₂⁴) = C₂⁴.₄₃₅C₂³	central stem extension (φ=1)	64	C2.96(C2^2.46C2^4)	128,1482
C₂.₉₇(C₂².₄₆C₂⁴) = C₂³.₆₅₁C₂⁴	central stem extension (φ=1)	64	C2.97(C2^2.46C2^4)	128,1483
C₂.₉₈(C₂².₄₆C₂⁴) = C₂³.₆₅₄C₂⁴	central stem extension (φ=1)	64	C2.98(C2^2.46C2^4)	128,1486
C₂.₉₉(C₂².₄₆C₂⁴) = C₂³.₆₅₈C₂⁴	central stem extension (φ=1)	128	C2.99(C2^2.46C2^4)	128,1490
C₂.₁₀₀(C₂².₄₆C₂⁴) = C₂⁴.₄₄₀C₂³	central stem extension (φ=1)	64	C2.100(C2^2.46C2^4)	128,1493
C₂.₁₀₁(C₂².₄₆C₂⁴) = C₂³.₆₆₂C₂⁴	central stem extension (φ=1)	128	C2.101(C2^2.46C2^4)	128,1494
C₂.₁₀₂(C₂².₄₆C₂⁴) = C₂³.₆₆₄C₂⁴	central stem extension (φ=1)	64	C2.102(C2^2.46C2^4)	128,1496
C₂.₁₀₃(C₂².₄₆C₂⁴) = C₂⁴.₄₄₃C₂³	central stem extension (φ=1)	64	C2.103(C2^2.46C2^4)	128,1497
C₂.₁₀₄(C₂².₄₆C₂⁴) = C₂³.₆₆₆C₂⁴	central stem extension (φ=1)	128	C2.104(C2^2.46C2^4)	128,1498
C₂.₁₀₅(C₂².₄₆C₂⁴) = C₂³.₆₆₇C₂⁴	central stem extension (φ=1)	128	C2.105(C2^2.46C2^4)	128,1499
C₂.₁₀₆(C₂².₄₆C₂⁴) = C₂³.₆₆₈C₂⁴	central stem extension (φ=1)	64	C2.106(C2^2.46C2^4)	128,1500
C₂.₁₀₇(C₂².₄₆C₂⁴) = C₂³.₆₆₉C₂⁴	central stem extension (φ=1)	128	C2.107(C2^2.46C2^4)	128,1501
C₂.₁₀₈(C₂².₄₆C₂⁴) = C₂⁴.₄₄₅C₂³	central stem extension (φ=1)	64	C2.108(C2^2.46C2^4)	128,1502
C₂.₁₀₉(C₂².₄₆C₂⁴) = C₂³.₆₇₁C₂⁴	central stem extension (φ=1)	64	C2.109(C2^2.46C2^4)	128,1503
C₂.₁₁₀(C₂².₄₆C₂⁴) = C₂³.₆₇₂C₂⁴	central stem extension (φ=1)	64	C2.110(C2^2.46C2^4)	128,1504
C₂.₁₁₁(C₂².₄₆C₂⁴) = C₂³.₆₇₃C₂⁴	central stem extension (φ=1)	64	C2.111(C2^2.46C2^4)	128,1505
C₂.₁₁₂(C₂².₄₆C₂⁴) = C₂³.₆₇₄C₂⁴	central stem extension (φ=1)	128	C2.112(C2^2.46C2^4)	128,1506
C₂.₁₁₃(C₂².₄₆C₂⁴) = C₂³.₆₇₅C₂⁴	central stem extension (φ=1)	64	C2.113(C2^2.46C2^4)	128,1507
C₂.₁₁₄(C₂².₄₆C₂⁴) = C₂³.₆₇₆C₂⁴	central stem extension (φ=1)	128	C2.114(C2^2.46C2^4)	128,1508
C₂.₁₁₅(C₂².₄₆C₂⁴) = C₂³.₆₇₇C₂⁴	central stem extension (φ=1)	64	C2.115(C2^2.46C2^4)	128,1509
C₂.₁₁₆(C₂².₄₆C₂⁴) = C₂³.₆₇₉C₂⁴	central stem extension (φ=1)	64	C2.116(C2^2.46C2^4)	128,1511
C₂.₁₁₇(C₂².₄₆C₂⁴) = C₂³.₆₈₁C₂⁴	central stem extension (φ=1)	64	C2.117(C2^2.46C2^4)	128,1513
C₂.₁₁₈(C₂².₄₆C₂⁴) = C₂³.₆₈₇C₂⁴	central stem extension (φ=1)	64	C2.118(C2^2.46C2^4)	128,1519
C₂.₁₁₉(C₂².₄₆C₂⁴) = C₂³.₆₉₁C₂⁴	central stem extension (φ=1)	128	C2.119(C2^2.46C2^4)	128,1523
C₂.₁₂₀(C₂².₄₆C₂⁴) = C₂³.₆₉₃C₂⁴	central stem extension (φ=1)	64	C2.120(C2^2.46C2^4)	128,1525
C₂.₁₂₁(C₂².₄₆C₂⁴) = C₂³.₆₉₄C₂⁴	central stem extension (φ=1)	128	C2.121(C2^2.46C2^4)	128,1526

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.46C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₄₆C₂⁴