Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₁₉C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₁₉C₂⁴

		d	ρ	Label	ID
C₂×C₂².₁₉C₂⁴		32		C2xC2^2.19C2^4	128,2167

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₁₉C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₁₉C₂⁴) = C₂⁵.₈₅C₂²	central extension (φ=1)	32	C2.1(C2^2.19C2^4)	128,1012
C₂.₂(C₂².₁₉C₂⁴) = C₄²⋊₄₂D₄	central extension (φ=1)	64	C2.2(C2^2.19C2^4)	128,1022
C₂.₃(C₂².₁₉C₂⁴) = C₂³.₁₇₈C₂⁴	central extension (φ=1)	64	C2.3(C2^2.19C2^4)	128,1028
C₂.₄(C₂².₁₉C₂⁴) = C₂³.₁₇₉C₂⁴	central extension (φ=1)	64	C2.4(C2^2.19C2^4)	128,1029
C₂.₅(C₂².₁₉C₂⁴) = C₄×C₂²≀C₂	central extension (φ=1)	32	C2.5(C2^2.19C2^4)	128,1031
C₂.₆(C₂².₁₉C₂⁴) = C₄×C₄⋊D₄	central extension (φ=1)	64	C2.6(C2^2.19C2^4)	128,1032
C₂.₇(C₂².₁₉C₂⁴) = C₄×C₂².D₄	central extension (φ=1)	64	C2.7(C2^2.19C2^4)	128,1033
C₂.₈(C₂².₁₉C₂⁴) = C₄×C₂²⋊Q₈	central extension (φ=1)	64	C2.8(C2^2.19C2^4)	128,1034
C₂.₉(C₂².₁₉C₂⁴) = C₂³.₂₈₈C₂⁴	central stem extension (φ=1)	64	C2.9(C2^2.19C2^4)	128,1120
C₂.₁₀(C₂².₁₉C₂⁴) = C₄²⋊₁₅D₄	central stem extension (φ=1)	64	C2.10(C2^2.19C2^4)	128,1124
C₂.₁₁(C₂².₁₉C₂⁴) = C₂³.₂₉₅C₂⁴	central stem extension (φ=1)	64	C2.11(C2^2.19C2^4)	128,1127
C₂.₁₂(C₂².₁₉C₂⁴) = C₄².₁₆₂D₄	central stem extension (φ=1)	64	C2.12(C2^2.19C2^4)	128,1128
C₂.₁₃(C₂².₁₉C₂⁴) = C₄²⋊₁₆D₄	central stem extension (φ=1)	64	C2.13(C2^2.19C2^4)	128,1129
C₂.₁₄(C₂².₁₉C₂⁴) = C₄².₁₆₃D₄	central stem extension (φ=1)	64	C2.14(C2^2.19C2^4)	128,1130
C₂.₁₅(C₂².₁₉C₂⁴) = C₄²⋊₅Q₈	central stem extension (φ=1)	128	C2.15(C2^2.19C2^4)	128,1131
C₂.₁₆(C₂².₁₉C₂⁴) = C₂³.₃₀₄C₂⁴	central stem extension (φ=1)	32	C2.16(C2^2.19C2^4)	128,1136
C₂.₁₇(C₂².₁₉C₂⁴) = C₂⁴.₂₄₃C₂³	central stem extension (φ=1)	64	C2.17(C2^2.19C2^4)	128,1138
C₂.₁₈(C₂².₁₉C₂⁴) = C₂⁴.₂₄₄C₂³	central stem extension (φ=1)	64	C2.18(C2^2.19C2^4)	128,1139
C₂.₁₉(C₂².₁₉C₂⁴) = C₂³.₃₁₁C₂⁴	central stem extension (φ=1)	32	C2.19(C2^2.19C2^4)	128,1143
C₂.₂₀(C₂².₁₉C₂⁴) = C₂³.₃₁₃C₂⁴	central stem extension (φ=1)	64	C2.20(C2^2.19C2^4)	128,1145
C₂.₂₁(C₂².₁₉C₂⁴) = C₂⁴.₂₄₉C₂³	central stem extension (φ=1)	64	C2.21(C2^2.19C2^4)	128,1146
C₂.₂₂(C₂².₁₉C₂⁴) = C₂³.₃₁₅C₂⁴	central stem extension (φ=1)	64	C2.22(C2^2.19C2^4)	128,1147
C₂.₂₃(C₂².₁₉C₂⁴) = C₂³.₃₁₈C₂⁴	central stem extension (φ=1)	32	C2.23(C2^2.19C2^4)	128,1150
C₂.₂₄(C₂².₁₉C₂⁴) = C₂³.₃₂₄C₂⁴	central stem extension (φ=1)	32	C2.24(C2^2.19C2^4)	128,1156
C₂.₂₅(C₂².₁₉C₂⁴) = C₂⁴.₂₆₉C₂³	central stem extension (φ=1)	64	C2.25(C2^2.19C2^4)	128,1175
C₂.₂₆(C₂².₁₉C₂⁴) = C₂³.₃₄₉C₂⁴	central stem extension (φ=1)	64	C2.26(C2^2.19C2^4)	128,1181
C₂.₂₇(C₂².₁₉C₂⁴) = C₂⁴.₂₇₆C₂³	central stem extension (φ=1)	64	C2.27(C2^2.19C2^4)	128,1187
C₂.₂₈(C₂².₁₉C₂⁴) = C₂³.₃₅₆C₂⁴	central stem extension (φ=1)	64	C2.28(C2^2.19C2^4)	128,1188
C₂.₂₉(C₂².₁₉C₂⁴) = C₂⁴.₂₇₈C₂³	central stem extension (φ=1)	64	C2.29(C2^2.19C2^4)	128,1189
C₂.₃₀(C₂².₁₉C₂⁴) = C₂⁴.₂₇₉C₂³	central stem extension (φ=1)	64	C2.30(C2^2.19C2^4)	128,1190
C₂.₃₁(C₂².₁₉C₂⁴) = C₂³.₃₅₉C₂⁴	central stem extension (φ=1)	64	C2.31(C2^2.19C2^4)	128,1191
C₂.₃₂(C₂².₁₉C₂⁴) = C₂³.₃₆₀C₂⁴	central stem extension (φ=1)	64	C2.32(C2^2.19C2^4)	128,1192
C₂.₃₃(C₂².₁₉C₂⁴) = C₂⁴.₂₈₂C₂³	central stem extension (φ=1)	64	C2.33(C2^2.19C2^4)	128,1193
C₂.₃₄(C₂².₁₉C₂⁴) = C₂³.₃₆₂C₂⁴	central stem extension (φ=1)	128	C2.34(C2^2.19C2^4)	128,1194
C₂.₃₅(C₂².₁₉C₂⁴) = C₂⁴.₂₈₃C₂³	central stem extension (φ=1)	64	C2.35(C2^2.19C2^4)	128,1195
C₂.₃₆(C₂².₁₉C₂⁴) = C₂³.₃₆₄C₂⁴	central stem extension (φ=1)	64	C2.36(C2^2.19C2^4)	128,1196
C₂.₃₇(C₂².₁₉C₂⁴) = C₂⁴.₂₈₅C₂³	central stem extension (φ=1)	64	C2.37(C2^2.19C2^4)	128,1197
C₂.₃₈(C₂².₁₉C₂⁴) = C₂⁴.₂₈₆C₂³	central stem extension (φ=1)	64	C2.38(C2^2.19C2^4)	128,1198
C₂.₃₉(C₂².₁₉C₂⁴) = C₂³.₃₆₇C₂⁴	central stem extension (φ=1)	64	C2.39(C2^2.19C2^4)	128,1199
C₂.₄₀(C₂².₁₉C₂⁴) = C₂³.₃₆₈C₂⁴	central stem extension (φ=1)	64	C2.40(C2^2.19C2^4)	128,1200
C₂.₄₁(C₂².₁₉C₂⁴) = C₂³.₃₆₉C₂⁴	central stem extension (φ=1)	64	C2.41(C2^2.19C2^4)	128,1201
C₂.₄₂(C₂².₁₉C₂⁴) = C₂⁴.₂₈₉C₂³	central stem extension (φ=1)	64	C2.42(C2^2.19C2^4)	128,1202
C₂.₄₃(C₂².₁₉C₂⁴) = C₂⁴.₂₉₀C₂³	central stem extension (φ=1)	64	C2.43(C2^2.19C2^4)	128,1203
C₂.₄₄(C₂².₁₉C₂⁴) = C₂³.₃₇₂C₂⁴	central stem extension (φ=1)	32	C2.44(C2^2.19C2^4)	128,1204
C₂.₄₅(C₂².₁₉C₂⁴) = C₂⁴.₅₇₂C₂³	central stem extension (φ=1)	64	C2.45(C2^2.19C2^4)	128,1205
C₂.₄₆(C₂².₁₉C₂⁴) = C₂³.₃₇₄C₂⁴	central stem extension (φ=1)	64	C2.46(C2^2.19C2^4)	128,1206
C₂.₄₇(C₂².₁₉C₂⁴) = C₂³.₃₇₅C₂⁴	central stem extension (φ=1)	64	C2.47(C2^2.19C2^4)	128,1207
C₂.₄₈(C₂².₁₉C₂⁴) = C₂⁴.₂₉₃C₂³	central stem extension (φ=1)	64	C2.48(C2^2.19C2^4)	128,1208
C₂.₄₉(C₂².₁₉C₂⁴) = C₂³.₃₇₇C₂⁴	central stem extension (φ=1)	64	C2.49(C2^2.19C2^4)	128,1209
C₂.₅₀(C₂².₁₉C₂⁴) = C₂⁴.₂₉₅C₂³	central stem extension (φ=1)	64	C2.50(C2^2.19C2^4)	128,1210
C₂.₅₁(C₂².₁₉C₂⁴) = C₂³.₃₇₉C₂⁴	central stem extension (φ=1)	64	C2.51(C2^2.19C2^4)	128,1211
C₂.₅₂(C₂².₁₉C₂⁴) = C₂³.₃₈₀C₂⁴	central stem extension (φ=1)	32	C2.52(C2^2.19C2^4)	128,1212
C₂.₅₃(C₂².₁₉C₂⁴) = C₂⁴.₅₇₃C₂³	central stem extension (φ=1)	64	C2.53(C2^2.19C2^4)	128,1213
C₂.₅₄(C₂².₁₉C₂⁴) = C₂³.₃₈₂C₂⁴	central stem extension (φ=1)	32	C2.54(C2^2.19C2^4)	128,1214
C₂.₅₅(C₂².₁₉C₂⁴) = C₂⁴.₅₇₆C₂³	central stem extension (φ=1)	64	C2.55(C2^2.19C2^4)	128,1216
C₂.₅₆(C₂².₁₉C₂⁴) = C₂³.₃₈₅C₂⁴	central stem extension (φ=1)	64	C2.56(C2^2.19C2^4)	128,1217
C₂.₅₇(C₂².₁₉C₂⁴) = C₂³.₄₃₄C₂⁴	central stem extension (φ=1)	32	C2.57(C2^2.19C2^4)	128,1266
C₂.₅₈(C₂².₁₉C₂⁴) = C₄²⋊₁₇D₄	central stem extension (φ=1)	64	C2.58(C2^2.19C2^4)	128,1267
C₂.₅₉(C₂².₁₉C₂⁴) = C₄².₁₆₅D₄	central stem extension (φ=1)	64	C2.59(C2^2.19C2^4)	128,1268
C₂.₆₀(C₂².₁₉C₂⁴) = C₂³.₄₃₉C₂⁴	central stem extension (φ=1)	32	C2.60(C2^2.19C2^4)	128,1271
C₂.₆₁(C₂².₁₉C₂⁴) = C₄²⋊₁₉D₄	central stem extension (φ=1)	64	C2.61(C2^2.19C2^4)	128,1272
C₂.₆₂(C₂².₁₉C₂⁴) = C₂³.₄₆₁C₂⁴	central stem extension (φ=1)	32	C2.62(C2^2.19C2^4)	128,1293
C₂.₆₃(C₂².₁₉C₂⁴) = C₄².₁₇₂D₄	central stem extension (φ=1)	64	C2.63(C2^2.19C2^4)	128,1294
C₂.₆₄(C₂².₁₉C₂⁴) = C₂³.₄₇₉C₂⁴	central stem extension (φ=1)	64	C2.64(C2^2.19C2^4)	128,1311
C₂.₆₅(C₂².₁₉C₂⁴) = C₄².₁₇₈D₄	central stem extension (φ=1)	64	C2.65(C2^2.19C2^4)	128,1312
C₂.₆₆(C₂².₁₉C₂⁴) = C₄².₁₇₉D₄	central stem extension (φ=1)	128	C2.66(C2^2.19C2^4)	128,1313
C₂.₆₇(C₂².₁₉C₂⁴) = C₂³.₄₈₃C₂⁴	central stem extension (φ=1)	64	C2.67(C2^2.19C2^4)	128,1315
C₂.₆₈(C₂².₁₉C₂⁴) = C₄².₁₈₁D₄	central stem extension (φ=1)	128	C2.68(C2^2.19C2^4)	128,1316
C₂.₆₉(C₂².₁₉C₂⁴) = C₂³.₄₉₁C₂⁴	central stem extension (φ=1)	64	C2.69(C2^2.19C2^4)	128,1323
C₂.₇₀(C₂².₁₉C₂⁴) = C₄².₁₈₂D₄	central stem extension (φ=1)	64	C2.70(C2^2.19C2^4)	128,1324
C₂.₇₁(C₂².₁₉C₂⁴) = C₄²⋊₂₂D₄	central stem extension (φ=1)	64	C2.71(C2^2.19C2^4)	128,1330
C₂.₇₂(C₂².₁₉C₂⁴) = C₄².₁₈₃D₄	central stem extension (φ=1)	64	C2.72(C2^2.19C2^4)	128,1331
C₂.₇₃(C₂².₁₉C₂⁴) = C₂³.₅₀₀C₂⁴	central stem extension (φ=1)	64	C2.73(C2^2.19C2^4)	128,1332
C₂.₇₄(C₂².₁₉C₂⁴) = C₄²⋊₂₃D₄	central stem extension (φ=1)	64	C2.74(C2^2.19C2^4)	128,1333
C₂.₇₅(C₂².₁₉C₂⁴) = C₂³.₅₀₂C₂⁴	central stem extension (φ=1)	64	C2.75(C2^2.19C2^4)	128,1334
C₂.₇₆(C₂².₁₉C₂⁴) = C₄²⋊₂₄D₄	central stem extension (φ=1)	64	C2.76(C2^2.19C2^4)	128,1335
C₂.₇₇(C₂².₁₉C₂⁴) = C₄².₁₈₄D₄	central stem extension (φ=1)	64	C2.77(C2^2.19C2^4)	128,1336
C₂.₇₈(C₂².₁₉C₂⁴) = C₄²⋊₂₅D₄	central stem extension (φ=1)	64	C2.78(C2^2.19C2^4)	128,1341
C₂.₇₉(C₂².₁₉C₂⁴) = C₄²⋊₂₆D₄	central stem extension (φ=1)	64	C2.79(C2^2.19C2^4)	128,1342
C₂.₈₀(C₂².₁₉C₂⁴) = C₄².₁₈₅D₄	central stem extension (φ=1)	64	C2.80(C2^2.19C2^4)	128,1343
C₂.₈₁(C₂².₁₉C₂⁴) = C₂³.₅₃₀C₂⁴	central stem extension (φ=1)	64	C2.81(C2^2.19C2^4)	128,1362
C₂.₈₂(C₂².₁₉C₂⁴) = C₄²⋊₂₉D₄	central stem extension (φ=1)	64	C2.82(C2^2.19C2^4)	128,1363
C₂.₈₃(C₂².₁₉C₂⁴) = C₄².₁₈₉D₄	central stem extension (φ=1)	64	C2.83(C2^2.19C2^4)	128,1364
C₂.₈₄(C₂².₁₉C₂⁴) = C₄².₁₉₀D₄	central stem extension (φ=1)	64	C2.84(C2^2.19C2^4)	128,1365
C₂.₈₅(C₂².₁₉C₂⁴) = C₄².₁₉₁D₄	central stem extension (φ=1)	128	C2.85(C2^2.19C2^4)	128,1366
C₂.₈₆(C₂².₁₉C₂⁴) = C₂³.₅₃₅C₂⁴	central stem extension (φ=1)	64	C2.86(C2^2.19C2^4)	128,1367
C₂.₈₇(C₂².₁₉C₂⁴) = C₄²⋊₃₀D₄	central stem extension (φ=1)	64	C2.87(C2^2.19C2^4)	128,1368
C₂.₈₈(C₂².₁₉C₂⁴) = C₄².₁₉₂D₄	central stem extension (φ=1)	64	C2.88(C2^2.19C2^4)	128,1369
C₂.₈₉(C₂².₁₉C₂⁴) = C₂⁴.₃₇₄C₂³	central stem extension (φ=1)	64	C2.89(C2^2.19C2^4)	128,1370
C₂.₉₀(C₂².₁₉C₂⁴) = C₂⁴⋊₁₃D₄	central stem extension (φ=1)	32	C2.90(C2^2.19C2^4)	128,1579
C₂.₉₁(C₂².₁₉C₂⁴) = C₂⁴⋊₈Q₈	central stem extension (φ=1)	32	C2.91(C2^2.19C2^4)	128,1580
C₂.₉₂(C₂².₁₉C₂⁴) = C₂⁴.₁₆₆D₄	central stem extension (φ=1)	32	C2.92(C2^2.19C2^4)	128,1581
C₂.₉₃(C₂².₁₉C₂⁴) = C₄²⋊₄₆D₄	central stem extension (φ=1)	64	C2.93(C2^2.19C2^4)	128,1582
C₂.₉₄(C₂².₁₉C₂⁴) = C₄².₄₃₉D₄	central stem extension (φ=1)	64	C2.94(C2^2.19C2^4)	128,1583
C₂.₉₅(C₂².₁₉C₂⁴) = C₄²⋊₄₃D₄	central stem extension (φ=1)	64	C2.95(C2^2.19C2^4)	128,1584
C₂.₉₆(C₂².₁₉C₂⁴) = C₂³.₇₅₃C₂⁴	central stem extension (φ=1)	64	C2.96(C2^2.19C2^4)	128,1585
C₂.₉₇(C₂².₁₉C₂⁴) = C₂⁴.₅₉₈C₂³	central stem extension (φ=1)	64	C2.97(C2^2.19C2^4)	128,1586
C₂.₉₈(C₂².₁₉C₂⁴) = C₂⁴.₅₉₉C₂³	central stem extension (φ=1)	64	C2.98(C2^2.19C2^4)	128,1587
C₂.₉₉(C₂².₁₉C₂⁴) = C₄².₂₂₁D₄	central stem extension (φ=1)	32	C2.99(C2^2.19C2^4)	128,1832
C₂.₁₀₀(C₂².₁₉C₂⁴) = C₄².₂₂₂D₄	central stem extension (φ=1)	32	C2.100(C2^2.19C2^4)	128,1833
C₂.₁₀₁(C₂².₁₉C₂⁴) = C₄².₃₈₄D₄	central stem extension (φ=1)	64	C2.101(C2^2.19C2^4)	128,1834
C₂.₁₀₂(C₂².₁₉C₂⁴) = C₄².₂₂₃D₄	central stem extension (φ=1)	64	C2.102(C2^2.19C2^4)	128,1835
C₂.₁₀₃(C₂².₁₉C₂⁴) = C₄².₂₂₄D₄	central stem extension (φ=1)	64	C2.103(C2^2.19C2^4)	128,1836
C₂.₁₀₄(C₂².₁₉C₂⁴) = C₄².₂₂₅D₄	central stem extension (φ=1)	32	C2.104(C2^2.19C2^4)	128,1837
C₂.₁₀₅(C₂².₁₉C₂⁴) = C₄².₄₅₀D₄	central stem extension (φ=1)	64	C2.105(C2^2.19C2^4)	128,1838
C₂.₁₀₆(C₂².₁₉C₂⁴) = C₄².₄₅₁D₄	central stem extension (φ=1)	64	C2.106(C2^2.19C2^4)	128,1839
C₂.₁₀₇(C₂².₁₉C₂⁴) = C₄².₂₂₆D₄	central stem extension (φ=1)	64	C2.107(C2^2.19C2^4)	128,1840
C₂.₁₀₈(C₂².₁₉C₂⁴) = C₄².₂₂₇D₄	central stem extension (φ=1)	32	C2.108(C2^2.19C2^4)	128,1841
C₂.₁₀₉(C₂².₁₉C₂⁴) = C₄².₂₂₈D₄	central stem extension (φ=1)	32	C2.109(C2^2.19C2^4)	128,1842
C₂.₁₁₀(C₂².₁₉C₂⁴) = C₄².₂₂₉D₄	central stem extension (φ=1)	64	C2.110(C2^2.19C2^4)	128,1843
C₂.₁₁₁(C₂².₁₉C₂⁴) = C₄².₂₃₀D₄	central stem extension (φ=1)	64	C2.111(C2^2.19C2^4)	128,1844
C₂.₁₁₂(C₂².₁₉C₂⁴) = C₄².₂₃₁D₄	central stem extension (φ=1)	64	C2.112(C2^2.19C2^4)	128,1845
C₂.₁₁₃(C₂².₁₉C₂⁴) = C₄².₂₃₂D₄	central stem extension (φ=1)	32	C2.113(C2^2.19C2^4)	128,1846
C₂.₁₁₄(C₂².₁₉C₂⁴) = C₄².₂₃₃D₄	central stem extension (φ=1)	64	C2.114(C2^2.19C2^4)	128,1847
C₂.₁₁₅(C₂².₁₉C₂⁴) = C₄².₂₃₄D₄	central stem extension (φ=1)	64	C2.115(C2^2.19C2^4)	128,1848
C₂.₁₁₆(C₂².₁₉C₂⁴) = C₄².₂₃₅D₄	central stem extension (φ=1)	64	C2.116(C2^2.19C2^4)	128,1849
C₂.₁₁₇(C₂².₁₉C₂⁴) = C₄².₃₅₂C₂³	central stem extension (φ=1)	32	C2.117(C2^2.19C2^4)	128,1850
C₂.₁₁₈(C₂².₁₉C₂⁴) = C₄².₃₅₃C₂³	central stem extension (φ=1)	64	C2.118(C2^2.19C2^4)	128,1851
C₂.₁₁₉(C₂².₁₉C₂⁴) = C₄².₃₅₄C₂³	central stem extension (φ=1)	64	C2.119(C2^2.19C2^4)	128,1852
C₂.₁₂₀(C₂².₁₉C₂⁴) = C₄².₃₅₅C₂³	central stem extension (φ=1)	64	C2.120(C2^2.19C2^4)	128,1853
C₂.₁₂₁(C₂².₁₉C₂⁴) = C₄².₃₅₆C₂³	central stem extension (φ=1)	32	C2.121(C2^2.19C2^4)	128,1854
C₂.₁₂₂(C₂².₁₉C₂⁴) = C₄².₃₅₇C₂³	central stem extension (φ=1)	32	C2.122(C2^2.19C2^4)	128,1855
C₂.₁₂₃(C₂².₁₉C₂⁴) = C₄².₃₅₈C₂³	central stem extension (φ=1)	64	C2.123(C2^2.19C2^4)	128,1856
C₂.₁₂₄(C₂².₁₉C₂⁴) = C₄².₃₅₉C₂³	central stem extension (φ=1)	64	C2.124(C2^2.19C2^4)	128,1857
C₂.₁₂₅(C₂².₁₉C₂⁴) = C₄².₃₆₀C₂³	central stem extension (φ=1)	64	C2.125(C2^2.19C2^4)	128,1858
C₂.₁₂₆(C₂².₁₉C₂⁴) = C₄².₃₆₁C₂³	central stem extension (φ=1)	64	C2.126(C2^2.19C2^4)	128,1859

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C22.19C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₁₉C₂⁴