Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₄₇C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₄₇C₂⁴

		d	ρ	Label	ID
C₂×C₂².₄₇C₂⁴		64		C2xC2^2.47C2^4	128,2203

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₄₇C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₄₇C₂⁴) = C₂³.₂₂₇C₂⁴	central extension (φ=1)	64	C2.1(C2^2.47C2^4)	128,1077
C₂.₂(C₂².₄₇C₂⁴) = C₂³.₂₂₉C₂⁴	central extension (φ=1)	64	C2.2(C2^2.47C2^4)	128,1079
C₂.₃(C₂².₄₇C₂⁴) = C₂³.₂₃₄C₂⁴	central extension (φ=1)	64	C2.3(C2^2.47C2^4)	128,1084
C₂.₄(C₂².₄₇C₂⁴) = C₂³.₂₃₅C₂⁴	central extension (φ=1)	64	C2.4(C2^2.47C2^4)	128,1085
C₂.₅(C₂².₄₇C₂⁴) = C₂⁴.₂₁₂C₂³	central extension (φ=1)	64	C2.5(C2^2.47C2^4)	128,1089
C₂.₆(C₂².₄₇C₂⁴) = C₂⁴.₂₁₅C₂³	central extension (φ=1)	64	C2.6(C2^2.47C2^4)	128,1093
C₂.₇(C₂².₄₇C₂⁴) = C₂⁴.₂₁₇C₂³	central extension (φ=1)	64	C2.7(C2^2.47C2^4)	128,1095
C₂.₈(C₂².₄₇C₂⁴) = C₂⁴.₂₁₈C₂³	central extension (φ=1)	64	C2.8(C2^2.47C2^4)	128,1096
C₂.₉(C₂².₄₇C₂⁴) = C₂³.₂₅₂C₂⁴	central extension (φ=1)	128	C2.9(C2^2.47C2^4)	128,1102
C₂.₁₀(C₂².₄₇C₂⁴) = C₂³.₂₅₅C₂⁴	central extension (φ=1)	64	C2.10(C2^2.47C2^4)	128,1105
C₂.₁₁(C₂².₄₇C₂⁴) = C₂⁴.₂₂₃C₂³	central extension (φ=1)	64	C2.11(C2^2.47C2^4)	128,1106
C₂.₁₂(C₂².₄₇C₂⁴) = C₂⁴.₂₄₉C₂³	central stem extension (φ=1)	64	C2.12(C2^2.47C2^4)	128,1146
C₂.₁₃(C₂².₄₇C₂⁴) = C₂³.₃₁₆C₂⁴	central stem extension (φ=1)	64	C2.13(C2^2.47C2^4)	128,1148
C₂.₁₄(C₂².₄₇C₂⁴) = C₂⁴.₂₅₄C₂³	central stem extension (φ=1)	64	C2.14(C2^2.47C2^4)	128,1152
C₂.₁₅(C₂².₄₇C₂⁴) = C₂³.₃₂₂C₂⁴	central stem extension (φ=1)	64	C2.15(C2^2.47C2^4)	128,1154
C₂.₁₆(C₂².₄₇C₂⁴) = C₂⁴.₂₆₈C₂³	central stem extension (φ=1)	64	C2.16(C2^2.47C2^4)	128,1173
C₂.₁₇(C₂².₄₇C₂⁴) = C₂⁴.₅₆₉C₂³	central stem extension (φ=1)	64	C2.17(C2^2.47C2^4)	128,1174
C₂.₁₈(C₂².₄₇C₂⁴) = C₂⁴.₂₆₉C₂³	central stem extension (φ=1)	64	C2.18(C2^2.47C2^4)	128,1175
C₂.₁₉(C₂².₄₇C₂⁴) = C₂³.₃₄₄C₂⁴	central stem extension (φ=1)	64	C2.19(C2^2.47C2^4)	128,1176
C₂.₂₀(C₂².₄₇C₂⁴) = C₂³.₃₅₆C₂⁴	central stem extension (φ=1)	64	C2.20(C2^2.47C2^4)	128,1188
C₂.₂₁(C₂².₄₇C₂⁴) = C₂⁴.₂₇₈C₂³	central stem extension (φ=1)	64	C2.21(C2^2.47C2^4)	128,1189
C₂.₂₂(C₂².₄₇C₂⁴) = C₂³.₃₆₀C₂⁴	central stem extension (φ=1)	64	C2.22(C2^2.47C2^4)	128,1192
C₂.₂₃(C₂².₄₇C₂⁴) = C₂³.₃₆₄C₂⁴	central stem extension (φ=1)	64	C2.23(C2^2.47C2^4)	128,1196
C₂.₂₄(C₂².₄₇C₂⁴) = C₂⁴.₂₈₆C₂³	central stem extension (φ=1)	64	C2.24(C2^2.47C2^4)	128,1198
C₂.₂₅(C₂².₄₇C₂⁴) = C₂³.₃₆₇C₂⁴	central stem extension (φ=1)	64	C2.25(C2^2.47C2^4)	128,1199
C₂.₂₆(C₂².₄₇C₂⁴) = C₂³.₃₆₈C₂⁴	central stem extension (φ=1)	64	C2.26(C2^2.47C2^4)	128,1200
C₂.₂₇(C₂².₄₇C₂⁴) = C₂⁴.₂₈₉C₂³	central stem extension (φ=1)	64	C2.27(C2^2.47C2^4)	128,1202
C₂.₂₈(C₂².₄₇C₂⁴) = C₂⁴.₂₉₃C₂³	central stem extension (φ=1)	64	C2.28(C2^2.47C2^4)	128,1208
C₂.₂₉(C₂².₄₇C₂⁴) = C₂⁴.₅₇₃C₂³	central stem extension (φ=1)	64	C2.29(C2^2.47C2^4)	128,1213
C₂.₃₀(C₂².₄₇C₂⁴) = C₂³.₃₈₅C₂⁴	central stem extension (φ=1)	64	C2.30(C2^2.47C2^4)	128,1217
C₂.₃₁(C₂².₄₇C₂⁴) = C₂⁴.₃₀₀C₂³	central stem extension (φ=1)	64	C2.31(C2^2.47C2^4)	128,1219
C₂.₃₂(C₂².₄₇C₂⁴) = C₂³.₃₉₀C₂⁴	central stem extension (φ=1)	64	C2.32(C2^2.47C2^4)	128,1222
C₂.₃₃(C₂².₄₇C₂⁴) = C₂⁴.₃₀₄C₂³	central stem extension (φ=1)	64	C2.33(C2^2.47C2^4)	128,1226
C₂.₃₄(C₂².₄₇C₂⁴) = C₂³.₃₉₅C₂⁴	central stem extension (φ=1)	64	C2.34(C2^2.47C2^4)	128,1227
C₂.₃₅(C₂².₄₇C₂⁴) = C₂³.₃₉₇C₂⁴	central stem extension (φ=1)	64	C2.35(C2^2.47C2^4)	128,1229
C₂.₃₆(C₂².₄₇C₂⁴) = C₂³.₄₀₀C₂⁴	central stem extension (φ=1)	64	C2.36(C2^2.47C2^4)	128,1232
C₂.₃₇(C₂².₄₇C₂⁴) = C₂³.₄₀₄C₂⁴	central stem extension (φ=1)	64	C2.37(C2^2.47C2^4)	128,1236
C₂.₃₈(C₂².₄₇C₂⁴) = C₂³.₄₀₇C₂⁴	central stem extension (φ=1)	128	C2.38(C2^2.47C2^4)	128,1239
C₂.₃₉(C₂².₄₇C₂⁴) = C₂³.₄₀₉C₂⁴	central stem extension (φ=1)	128	C2.39(C2^2.47C2^4)	128,1241
C₂.₄₀(C₂².₄₇C₂⁴) = C₂³.₄₁₀C₂⁴	central stem extension (φ=1)	64	C2.40(C2^2.47C2^4)	128,1242
C₂.₄₁(C₂².₄₇C₂⁴) = C₂³.₄₁₂C₂⁴	central stem extension (φ=1)	64	C2.41(C2^2.47C2^4)	128,1244
C₂.₄₂(C₂².₄₇C₂⁴) = C₂³.₄₁₃C₂⁴	central stem extension (φ=1)	64	C2.42(C2^2.47C2^4)	128,1245
C₂.₄₃(C₂².₄₇C₂⁴) = C₂⁴.₃₀₉C₂³	central stem extension (φ=1)	64	C2.43(C2^2.47C2^4)	128,1247
C₂.₄₄(C₂².₄₇C₂⁴) = C₂³.₄₁₆C₂⁴	central stem extension (φ=1)	64	C2.44(C2^2.47C2^4)	128,1248
C₂.₄₅(C₂².₄₇C₂⁴) = C₂³.₄₁₈C₂⁴	central stem extension (φ=1)	64	C2.45(C2^2.47C2^4)	128,1250
C₂.₄₆(C₂².₄₇C₂⁴) = C₂³.₄₂₂C₂⁴	central stem extension (φ=1)	64	C2.46(C2^2.47C2^4)	128,1254
C₂.₄₇(C₂².₄₇C₂⁴) = C₂³.₄₂₅C₂⁴	central stem extension (φ=1)	64	C2.47(C2^2.47C2^4)	128,1257
C₂.₄₈(C₂².₄₇C₂⁴) = C₂³.₄₂₆C₂⁴	central stem extension (φ=1)	64	C2.48(C2^2.47C2^4)	128,1258
C₂.₄₉(C₂².₄₇C₂⁴) = C₂³.₄₂₉C₂⁴	central stem extension (φ=1)	64	C2.49(C2^2.47C2^4)	128,1261
C₂.₅₀(C₂².₄₇C₂⁴) = C₂³.₄₃₀C₂⁴	central stem extension (φ=1)	64	C2.50(C2^2.47C2^4)	128,1262
C₂.₅₁(C₂².₄₇C₂⁴) = C₂³.₄₃₁C₂⁴	central stem extension (φ=1)	64	C2.51(C2^2.47C2^4)	128,1263
C₂.₅₂(C₂².₄₇C₂⁴) = C₄²⋊₁₇D₄	central stem extension (φ=1)	64	C2.52(C2^2.47C2^4)	128,1267
C₂.₅₃(C₂².₄₇C₂⁴) = C₂³.₄₄₃C₂⁴	central stem extension (φ=1)	64	C2.53(C2^2.47C2^4)	128,1275
C₂.₅₄(C₂².₄₇C₂⁴) = C₂⁴.₃₂₇C₂³	central stem extension (φ=1)	64	C2.54(C2^2.47C2^4)	128,1286
C₂.₅₅(C₂².₄₇C₂⁴) = C₂³.₄₅₈C₂⁴	central stem extension (φ=1)	64	C2.55(C2^2.47C2^4)	128,1290
C₂.₅₆(C₂².₄₇C₂⁴) = C₂⁴.₃₃₁C₂³	central stem extension (φ=1)	64	C2.56(C2^2.47C2^4)	128,1291
C₂.₅₇(C₂².₄₇C₂⁴) = C₄².₁₇₂D₄	central stem extension (φ=1)	64	C2.57(C2^2.47C2^4)	128,1294
C₂.₅₈(C₂².₄₇C₂⁴) = C₄².₁₇₅D₄	central stem extension (φ=1)	64	C2.58(C2^2.47C2^4)	128,1298
C₂.₅₉(C₂².₄₇C₂⁴) = C₂⁴.₅₈₄C₂³	central stem extension (φ=1)	64	C2.59(C2^2.47C2^4)	128,1301
C₂.₆₀(C₂².₄₇C₂⁴) = C₄².₃₆Q₈	central stem extension (φ=1)	128	C2.60(C2^2.47C2^4)	128,1302
C₂.₆₁(C₂².₄₇C₂⁴) = C₂³.₄₇₃C₂⁴	central stem extension (φ=1)	64	C2.61(C2^2.47C2^4)	128,1305
C₂.₆₂(C₂².₄₇C₂⁴) = C₂⁴.₃₄₀C₂³	central stem extension (φ=1)	64	C2.62(C2^2.47C2^4)	128,1308
C₂.₆₃(C₂².₄₇C₂⁴) = C₂⁴.₃₄₁C₂³	central stem extension (φ=1)	64	C2.63(C2^2.47C2^4)	128,1309
C₂.₆₄(C₂².₄₇C₂⁴) = C₂³.₄₇₈C₂⁴	central stem extension (φ=1)	64	C2.64(C2^2.47C2^4)	128,1310
C₂.₆₅(C₂².₄₇C₂⁴) = C₂³.₄₇₉C₂⁴	central stem extension (φ=1)	64	C2.65(C2^2.47C2^4)	128,1311
C₂.₆₆(C₂².₄₇C₂⁴) = C₂³.₄₈₅C₂⁴	central stem extension (φ=1)	128	C2.66(C2^2.47C2^4)	128,1317
C₂.₆₇(C₂².₄₇C₂⁴) = C₂⁴.₃₄₅C₂³	central stem extension (φ=1)	64	C2.67(C2^2.47C2^4)	128,1319
C₂.₆₈(C₂².₄₇C₂⁴) = C₂³.₄₉₀C₂⁴	central stem extension (φ=1)	128	C2.68(C2^2.47C2^4)	128,1322
C₂.₆₉(C₂².₄₇C₂⁴) = C₂³.₄₉₁C₂⁴	central stem extension (φ=1)	64	C2.69(C2^2.47C2^4)	128,1323
C₂.₇₀(C₂².₄₇C₂⁴) = C₂³.₄₉₃C₂⁴	central stem extension (φ=1)	64	C2.70(C2^2.47C2^4)	128,1325
C₂.₇₁(C₂².₄₇C₂⁴) = C₂³.₄₉₄C₂⁴	central stem extension (φ=1)	64	C2.71(C2^2.47C2^4)	128,1326
C₂.₇₂(C₂².₄₇C₂⁴) = C₂⁴.₃₄₇C₂³	central stem extension (φ=1)	64	C2.72(C2^2.47C2^4)	128,1327
C₂.₇₃(C₂².₄₇C₂⁴) = C₂³.₄₉₆C₂⁴	central stem extension (φ=1)	64	C2.73(C2^2.47C2^4)	128,1328
C₂.₇₄(C₂².₄₇C₂⁴) = C₂⁴.₃₄₈C₂³	central stem extension (φ=1)	64	C2.74(C2^2.47C2^4)	128,1329
C₂.₇₅(C₂².₄₇C₂⁴) = C₄²⋊₂₂D₄	central stem extension (φ=1)	64	C2.75(C2^2.47C2^4)	128,1330
C₂.₇₆(C₂².₄₇C₂⁴) = C₂³.₅₀₀C₂⁴	central stem extension (φ=1)	64	C2.76(C2^2.47C2^4)	128,1332
C₂.₇₇(C₂².₄₇C₂⁴) = C₄²⋊₂₃D₄	central stem extension (φ=1)	64	C2.77(C2^2.47C2^4)	128,1333
C₂.₇₈(C₂².₄₇C₂⁴) = C₂³.₅₀₂C₂⁴	central stem extension (φ=1)	64	C2.78(C2^2.47C2^4)	128,1334
C₂.₇₉(C₂².₄₇C₂⁴) = C₄²⋊₂₄D₄	central stem extension (φ=1)	64	C2.79(C2^2.47C2^4)	128,1335
C₂.₈₀(C₂².₄₇C₂⁴) = C₄².₃₈Q₈	central stem extension (φ=1)	128	C2.80(C2^2.47C2^4)	128,1338
C₂.₈₁(C₂².₄₇C₂⁴) = C₂³.₅₀₈C₂⁴	central stem extension (φ=1)	64	C2.81(C2^2.47C2^4)	128,1340
C₂.₈₂(C₂².₄₇C₂⁴) = C₂⁴.₃₉₅C₂³	central stem extension (φ=1)	64	C2.82(C2^2.47C2^4)	128,1420
C₂.₈₃(C₂².₄₇C₂⁴) = C₂³.₅₉₁C₂⁴	central stem extension (φ=1)	64	C2.83(C2^2.47C2^4)	128,1423
C₂.₈₄(C₂².₄₇C₂⁴) = C₂⁴.₄₀₇C₂³	central stem extension (φ=1)	64	C2.84(C2^2.47C2^4)	128,1433
C₂.₈₅(C₂².₄₇C₂⁴) = C₂³.₆₀₃C₂⁴	central stem extension (φ=1)	64	C2.85(C2^2.47C2^4)	128,1435
C₂.₈₆(C₂².₄₇C₂⁴) = C₂³.₆₀₈C₂⁴	central stem extension (φ=1)	64	C2.86(C2^2.47C2^4)	128,1440
C₂.₈₇(C₂².₄₇C₂⁴) = C₂³.₆₁₁C₂⁴	central stem extension (φ=1)	64	C2.87(C2^2.47C2^4)	128,1443
C₂.₈₈(C₂².₄₇C₂⁴) = C₂⁴.₄₁₃C₂³	central stem extension (φ=1)	64	C2.88(C2^2.47C2^4)	128,1446
C₂.₈₉(C₂².₄₇C₂⁴) = C₂³.₆₁₈C₂⁴	central stem extension (φ=1)	64	C2.89(C2^2.47C2^4)	128,1450
C₂.₉₀(C₂².₄₇C₂⁴) = C₂³.₆₂₅C₂⁴	central stem extension (φ=1)	64	C2.90(C2^2.47C2^4)	128,1457
C₂.₉₁(C₂².₄₇C₂⁴) = C₂⁴.₄₂₇C₂³	central stem extension (φ=1)	64	C2.91(C2^2.47C2^4)	128,1471
C₂.₉₂(C₂².₄₇C₂⁴) = C₂³.₆₄₁C₂⁴	central stem extension (φ=1)	64	C2.92(C2^2.47C2^4)	128,1473
C₂.₉₃(C₂².₄₇C₂⁴) = C₂⁴.₄₃₂C₂³	central stem extension (φ=1)	64	C2.93(C2^2.47C2^4)	128,1478
C₂.₉₄(C₂².₄₇C₂⁴) = C₂³.₆₄₇C₂⁴	central stem extension (φ=1)	64	C2.94(C2^2.47C2^4)	128,1479
C₂.₉₅(C₂².₄₇C₂⁴) = C₂³.₆₄₉C₂⁴	central stem extension (φ=1)	64	C2.95(C2^2.47C2^4)	128,1481
C₂.₉₆(C₂².₄₇C₂⁴) = C₂⁴.₄₃₅C₂³	central stem extension (φ=1)	64	C2.96(C2^2.47C2^4)	128,1482
C₂.₉₇(C₂².₄₇C₂⁴) = C₂⁴.₄₃₇C₂³	central stem extension (φ=1)	64	C2.97(C2^2.47C2^4)	128,1485
C₂.₉₈(C₂².₄₇C₂⁴) = C₂³.₆₅₆C₂⁴	central stem extension (φ=1)	64	C2.98(C2^2.47C2^4)	128,1488
C₂.₉₉(C₂².₄₇C₂⁴) = C₂⁴.₄₃₈C₂³	central stem extension (φ=1)	64	C2.99(C2^2.47C2^4)	128,1489
C₂.₁₀₀(C₂².₄₇C₂⁴) = C₂⁴.₄₄₀C₂³	central stem extension (φ=1)	64	C2.100(C2^2.47C2^4)	128,1493
C₂.₁₀₁(C₂².₄₇C₂⁴) = C₂⁴.₄₄₃C₂³	central stem extension (φ=1)	64	C2.101(C2^2.47C2^4)	128,1497
C₂.₁₀₂(C₂².₄₇C₂⁴) = C₂³.₆₆₆C₂⁴	central stem extension (φ=1)	128	C2.102(C2^2.47C2^4)	128,1498
C₂.₁₀₃(C₂².₄₇C₂⁴) = C₂⁴.₄₄₅C₂³	central stem extension (φ=1)	64	C2.103(C2^2.47C2^4)	128,1502
C₂.₁₀₄(C₂².₄₇C₂⁴) = C₂³.₆₇₂C₂⁴	central stem extension (φ=1)	64	C2.104(C2^2.47C2^4)	128,1504
C₂.₁₀₅(C₂².₄₇C₂⁴) = C₂³.₆₇₆C₂⁴	central stem extension (φ=1)	128	C2.105(C2^2.47C2^4)	128,1508
C₂.₁₀₆(C₂².₄₇C₂⁴) = C₂³.₆₇₇C₂⁴	central stem extension (φ=1)	64	C2.106(C2^2.47C2^4)	128,1509
C₂.₁₀₇(C₂².₄₇C₂⁴) = C₂³.₆₇₈C₂⁴	central stem extension (φ=1)	64	C2.107(C2^2.47C2^4)	128,1510
C₂.₁₀₈(C₂².₄₇C₂⁴) = C₂³.₆₇₉C₂⁴	central stem extension (φ=1)	64	C2.108(C2^2.47C2^4)	128,1511
C₂.₁₀₉(C₂².₄₇C₂⁴) = C₂⁴.₄₄₈C₂³	central stem extension (φ=1)	64	C2.109(C2^2.47C2^4)	128,1512
C₂.₁₁₀(C₂².₄₇C₂⁴) = C₂³.₆₈₁C₂⁴	central stem extension (φ=1)	64	C2.110(C2^2.47C2^4)	128,1513
C₂.₁₁₁(C₂².₄₇C₂⁴) = C₂³.₆₈₂C₂⁴	central stem extension (φ=1)	64	C2.111(C2^2.47C2^4)	128,1514
C₂.₁₁₂(C₂².₄₇C₂⁴) = C₂³.₆₈₃C₂⁴	central stem extension (φ=1)	64	C2.112(C2^2.47C2^4)	128,1515
C₂.₁₁₃(C₂².₄₇C₂⁴) = C₂³.₆₈₆C₂⁴	central stem extension (φ=1)	64	C2.113(C2^2.47C2^4)	128,1518
C₂.₁₁₄(C₂².₄₇C₂⁴) = C₂³.₆₈₇C₂⁴	central stem extension (φ=1)	64	C2.114(C2^2.47C2^4)	128,1519
C₂.₁₁₅(C₂².₄₇C₂⁴) = C₂⁴.₄₅₄C₂³	central stem extension (φ=1)	64	C2.115(C2^2.47C2^4)	128,1522
C₂.₁₁₆(C₂².₄₇C₂⁴) = C₂³.₆₉₃C₂⁴	central stem extension (φ=1)	64	C2.116(C2^2.47C2^4)	128,1525
C₂.₁₁₇(C₂².₄₇C₂⁴) = C₂³.₆₉₅C₂⁴	central stem extension (φ=1)	64	C2.117(C2^2.47C2^4)	128,1527
C₂.₁₁₈(C₂².₄₇C₂⁴) = C₂³.₆₉₆C₂⁴	central stem extension (φ=1)	64	C2.118(C2^2.47C2^4)	128,1528
C₂.₁₁₉(C₂².₄₇C₂⁴) = C₂³.₆₉₇C₂⁴	central stem extension (φ=1)	64	C2.119(C2^2.47C2^4)	128,1529
C₂.₁₂₀(C₂².₄₇C₂⁴) = C₂³.₇₀₀C₂⁴	central stem extension (φ=1)	64	C2.120(C2^2.47C2^4)	128,1532
C₂.₁₂₁(C₂².₄₇C₂⁴) = C₂³.₇₀₁C₂⁴	central stem extension (φ=1)	64	C2.121(C2^2.47C2^4)	128,1533
C₂.₁₂₂(C₂².₄₇C₂⁴) = C₂³.₇₀₂C₂⁴	central stem extension (φ=1)	128	C2.122(C2^2.47C2^4)	128,1534
C₂.₁₂₃(C₂².₄₇C₂⁴) = C₂³.₇₀₃C₂⁴	central stem extension (φ=1)	64	C2.123(C2^2.47C2^4)	128,1535

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.47C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₄₇C₂⁴