Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₂₆C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₂₆C₂⁴

		d	ρ	Label	ID
C₂×C₂².₂₆C₂⁴		64		C2xC2^2.26C2^4	128,2174

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₂₆C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₂₆C₂⁴) = C₂³.₁₆₇C₂⁴	central extension (φ=1)	64	C2.1(C2^2.26C2^4)	128,1017
C₂.₂(C₂².₂₆C₂⁴) = C₄³⋊₉C₂	central extension (φ=1)	64	C2.2(C2^2.26C2^4)	128,1025
C₂.₃(C₂².₂₆C₂⁴) = C₂³.₁₇₉C₂⁴	central extension (φ=1)	64	C2.3(C2^2.26C2^4)	128,1029
C₂.₄(C₂².₂₆C₂⁴) = C₄×C₄⋊D₄	central extension (φ=1)	64	C2.4(C2^2.26C2^4)	128,1032
C₂.₅(C₂².₂₆C₂⁴) = C₄×C₄.₄D₄	central extension (φ=1)	64	C2.5(C2^2.26C2^4)	128,1035
C₂.₆(C₂².₂₆C₂⁴) = C₄×C₄⋊₁D₄	central extension (φ=1)	64	C2.6(C2^2.26C2^4)	128,1038
C₂.₇(C₂².₂₆C₂⁴) = C₄×C₄⋊Q₈	central extension (φ=1)	128	C2.7(C2^2.26C2^4)	128,1039
C₂.₈(C₂².₂₆C₂⁴) = C₂³.₂₈₈C₂⁴	central stem extension (φ=1)	64	C2.8(C2^2.26C2^4)	128,1120
C₂.₉(C₂².₂₆C₂⁴) = C₄²⋊₁₅D₄	central stem extension (φ=1)	64	C2.9(C2^2.26C2^4)	128,1124
C₂.₁₀(C₂².₂₆C₂⁴) = C₂³.₂₉₅C₂⁴	central stem extension (φ=1)	64	C2.10(C2^2.26C2^4)	128,1127
C₂.₁₁(C₂².₂₆C₂⁴) = C₄².₁₆₂D₄	central stem extension (φ=1)	64	C2.11(C2^2.26C2^4)	128,1128
C₂.₁₂(C₂².₂₆C₂⁴) = C₂³.₃₂₂C₂⁴	central stem extension (φ=1)	64	C2.12(C2^2.26C2^4)	128,1154
C₂.₁₃(C₂².₂₆C₂⁴) = C₂³.₃₂₈C₂⁴	central stem extension (φ=1)	64	C2.13(C2^2.26C2^4)	128,1160
C₂.₁₄(C₂².₂₆C₂⁴) = C₂⁴.₂₆₂C₂³	central stem extension (φ=1)	64	C2.14(C2^2.26C2^4)	128,1162
C₂.₁₅(C₂².₂₆C₂⁴) = C₂⁴.₂₆₃C₂³	central stem extension (φ=1)	64	C2.15(C2^2.26C2^4)	128,1163
C₂.₁₆(C₂².₂₆C₂⁴) = C₂⁴.₂₆₄C₂³	central stem extension (φ=1)	64	C2.16(C2^2.26C2^4)	128,1164
C₂.₁₇(C₂².₂₆C₂⁴) = C₂³.₃₄₅C₂⁴	central stem extension (φ=1)	64	C2.17(C2^2.26C2^4)	128,1177
C₂.₁₈(C₂².₂₆C₂⁴) = C₂³.₃₅₂C₂⁴	central stem extension (φ=1)	64	C2.18(C2^2.26C2^4)	128,1184
C₂.₁₉(C₂².₂₆C₂⁴) = C₂⁴.₂₈₂C₂³	central stem extension (φ=1)	64	C2.19(C2^2.26C2^4)	128,1193
C₂.₂₀(C₂².₂₆C₂⁴) = C₂³.₃₆₄C₂⁴	central stem extension (φ=1)	64	C2.20(C2^2.26C2^4)	128,1196
C₂.₂₁(C₂².₂₆C₂⁴) = C₂³.₃₉₁C₂⁴	central stem extension (φ=1)	64	C2.21(C2^2.26C2^4)	128,1223
C₂.₂₂(C₂².₂₆C₂⁴) = C₂³.₃₉₆C₂⁴	central stem extension (φ=1)	64	C2.22(C2^2.26C2^4)	128,1228
C₂.₂₃(C₂².₂₆C₂⁴) = C₂³.₃₉₈C₂⁴	central stem extension (φ=1)	64	C2.23(C2^2.26C2^4)	128,1230
C₂.₂₄(C₂².₂₆C₂⁴) = C₂⁴.₃₀₈C₂³	central stem extension (φ=1)	64	C2.24(C2^2.26C2^4)	128,1231
C₂.₂₅(C₂².₂₆C₂⁴) = C₂³.₄₀₀C₂⁴	central stem extension (φ=1)	64	C2.25(C2^2.26C2^4)	128,1232
C₂.₂₆(C₂².₂₆C₂⁴) = C₂³.₄₀₆C₂⁴	central stem extension (φ=1)	128	C2.26(C2^2.26C2^4)	128,1238
C₂.₂₇(C₂².₂₆C₂⁴) = C₂³.₄₁₂C₂⁴	central stem extension (φ=1)	64	C2.27(C2^2.26C2^4)	128,1244
C₂.₂₈(C₂².₂₆C₂⁴) = C₂³.₄₁₉C₂⁴	central stem extension (φ=1)	64	C2.28(C2^2.26C2^4)	128,1251
C₂.₂₉(C₂².₂₆C₂⁴) = C₂⁴.₃₁₁C₂³	central stem extension (φ=1)	64	C2.29(C2^2.26C2^4)	128,1253
C₂.₃₀(C₂².₂₆C₂⁴) = C₂³.₄₄₃C₂⁴	central stem extension (φ=1)	64	C2.30(C2^2.26C2^4)	128,1275
C₂.₃₁(C₂².₂₆C₂⁴) = C₄²⋊₂₁D₄	central stem extension (φ=1)	64	C2.31(C2^2.26C2^4)	128,1276
C₂.₃₂(C₂².₂₆C₂⁴) = C₄².₁₆₈D₄	central stem extension (φ=1)	64	C2.32(C2^2.26C2^4)	128,1277
C₂.₃₃(C₂².₂₆C₂⁴) = C₂⁴.₃₂₆C₂³	central stem extension (φ=1)	64	C2.33(C2^2.26C2^4)	128,1285
C₂.₃₄(C₂².₂₆C₂⁴) = C₂⁴.₃₂₇C₂³	central stem extension (φ=1)	64	C2.34(C2^2.26C2^4)	128,1286
C₂.₃₅(C₂².₂₆C₂⁴) = C₂³.₄₅₅C₂⁴	central stem extension (φ=1)	64	C2.35(C2^2.26C2^4)	128,1287
C₂.₃₆(C₂².₂₆C₂⁴) = C₂³.₄₅₆C₂⁴	central stem extension (φ=1)	64	C2.36(C2^2.26C2^4)	128,1288
C₂.₃₇(C₂².₂₆C₂⁴) = C₂³.₄₅₇C₂⁴	central stem extension (φ=1)	64	C2.37(C2^2.26C2^4)	128,1289
C₂.₃₈(C₂².₂₆C₂⁴) = C₂³.₄₅₈C₂⁴	central stem extension (φ=1)	64	C2.38(C2^2.26C2^4)	128,1290
C₂.₃₉(C₂².₂₆C₂⁴) = C₂⁴.₃₃₁C₂³	central stem extension (φ=1)	64	C2.39(C2^2.26C2^4)	128,1291
C₂.₄₀(C₂².₂₆C₂⁴) = C₂⁴.₃₃₂C₂³	central stem extension (φ=1)	64	C2.40(C2^2.26C2^4)	128,1292
C₂.₄₁(C₂².₂₆C₂⁴) = C₂⁴.₅₈₃C₂³	central stem extension (φ=1)	64	C2.41(C2^2.26C2^4)	128,1296
C₂.₄₂(C₂².₂₆C₂⁴) = C₄².₁₇₄D₄	central stem extension (φ=1)	128	C2.42(C2^2.26C2^4)	128,1297
C₂.₄₃(C₂².₂₆C₂⁴) = C₄².₁₇₅D₄	central stem extension (φ=1)	64	C2.43(C2^2.26C2^4)	128,1298
C₂.₄₄(C₂².₂₆C₂⁴) = C₄²⋊₂₃D₄	central stem extension (φ=1)	64	C2.44(C2^2.26C2^4)	128,1333
C₂.₄₅(C₂².₂₆C₂⁴) = C₂³.₅₀₂C₂⁴	central stem extension (φ=1)	64	C2.45(C2^2.26C2^4)	128,1334
C₂.₄₆(C₂².₂₆C₂⁴) = C₄²⋊₂₄D₄	central stem extension (φ=1)	64	C2.46(C2^2.26C2^4)	128,1335
C₂.₄₇(C₂².₂₆C₂⁴) = C₄².₁₈₄D₄	central stem extension (φ=1)	64	C2.47(C2^2.26C2^4)	128,1336
C₂.₄₈(C₂².₂₆C₂⁴) = C₄²⋊₂₆D₄	central stem extension (φ=1)	64	C2.48(C2^2.26C2^4)	128,1342
C₂.₄₉(C₂².₂₆C₂⁴) = C₄².₁₈₅D₄	central stem extension (φ=1)	64	C2.49(C2^2.26C2^4)	128,1343
C₂.₅₀(C₂².₂₆C₂⁴) = C₂⁴.₃₇₇C₂³	central stem extension (φ=1)	64	C2.50(C2^2.26C2^4)	128,1393
C₂.₅₁(C₂².₂₆C₂⁴) = C₄²⋊₃₂D₄	central stem extension (φ=1)	64	C2.51(C2^2.26C2^4)	128,1394
C₂.₅₂(C₂².₂₆C₂⁴) = C₂⁴.₃₇₈C₂³	central stem extension (φ=1)	64	C2.52(C2^2.26C2^4)	128,1395
C₂.₅₃(C₂².₂₆C₂⁴) = C₄².₁₉₈D₄	central stem extension (φ=1)	64	C2.53(C2^2.26C2^4)	128,1396
C₂.₅₄(C₂².₂₆C₂⁴) = C₄²⋊₄₆D₄	central stem extension (φ=1)	64	C2.54(C2^2.26C2^4)	128,1582
C₂.₅₅(C₂².₂₆C₂⁴) = C₂⁴.₅₉₈C₂³	central stem extension (φ=1)	64	C2.55(C2^2.26C2^4)	128,1586
C₂.₅₆(C₂².₂₆C₂⁴) = C₄²⋊₄₇D₄	central stem extension (φ=1)	64	C2.56(C2^2.26C2^4)	128,1588
C₂.₅₇(C₂².₂₆C₂⁴) = C₄².₄₄₀D₄	central stem extension (φ=1)	64	C2.57(C2^2.26C2^4)	128,1589
C₂.₅₈(C₂².₂₆C₂⁴) = C₄³⋊₁₂C₂	central stem extension (φ=1)	64	C2.58(C2^2.26C2^4)	128,1590
C₂.₅₉(C₂².₂₆C₂⁴) = C₄³.₁₅C₂	central stem extension (φ=1)	128	C2.59(C2^2.26C2^4)	128,1591
C₂.₆₀(C₂².₂₆C₂⁴) = C₄³⋊₁₃C₂	central stem extension (φ=1)	64	C2.60(C2^2.26C2^4)	128,1592
C₂.₆₁(C₂².₂₆C₂⁴) = C₄³⋊₁₄C₂	central stem extension (φ=1)	64	C2.61(C2^2.26C2^4)	128,1593
C₂.₆₂(C₂².₂₆C₂⁴) = C₄².₃₆₅D₄	central stem extension (φ=1)	64	C2.62(C2^2.26C2^4)	128,1899
C₂.₆₃(C₂².₂₆C₂⁴) = C₄².₃₀₈D₄	central stem extension (φ=1)	64	C2.63(C2^2.26C2^4)	128,1900
C₂.₆₄(C₂².₂₆C₂⁴) = C₄².₃₆₆D₄	central stem extension (φ=1)	64	C2.64(C2^2.26C2^4)	128,1901
C₂.₆₅(C₂².₂₆C₂⁴) = C₄².₃₆₇D₄	central stem extension (φ=1)	64	C2.65(C2^2.26C2^4)	128,1902
C₂.₆₆(C₂².₂₆C₂⁴) = C₄².₂₅₅D₄	central stem extension (φ=1)	64	C2.66(C2^2.26C2^4)	128,1903
C₂.₆₇(C₂².₂₆C₂⁴) = C₄².₂₅₆D₄	central stem extension (φ=1)	64	C2.67(C2^2.26C2^4)	128,1904
C₂.₆₈(C₂².₂₆C₂⁴) = C₄².₃₈₅C₂³	central stem extension (φ=1)	64	C2.68(C2^2.26C2^4)	128,1905
C₂.₆₉(C₂².₂₆C₂⁴) = C₄².₃₈₆C₂³	central stem extension (φ=1)	64	C2.69(C2^2.26C2^4)	128,1906
C₂.₇₀(C₂².₂₆C₂⁴) = C₄².₃₈₇C₂³	central stem extension (φ=1)	64	C2.70(C2^2.26C2^4)	128,1907
C₂.₇₁(C₂².₂₆C₂⁴) = C₄².₃₈₈C₂³	central stem extension (φ=1)	64	C2.71(C2^2.26C2^4)	128,1908
C₂.₇₂(C₂².₂₆C₂⁴) = C₄².₃₈₉C₂³	central stem extension (φ=1)	64	C2.72(C2^2.26C2^4)	128,1909
C₂.₇₃(C₂².₂₆C₂⁴) = C₄².₃₉₀C₂³	central stem extension (φ=1)	64	C2.73(C2^2.26C2^4)	128,1910
C₂.₇₄(C₂².₂₆C₂⁴) = C₄².₃₉₁C₂³	central stem extension (φ=1)	64	C2.74(C2^2.26C2^4)	128,1911
C₂.₇₅(C₂².₂₆C₂⁴) = C₄².₂₅₇D₄	central stem extension (φ=1)	64	C2.75(C2^2.26C2^4)	128,1912
C₂.₇₆(C₂².₂₆C₂⁴) = C₄².₂₅₈D₄	central stem extension (φ=1)	64	C2.76(C2^2.26C2^4)	128,1913
C₂.₇₇(C₂².₂₆C₂⁴) = C₄².₂₅₉D₄	central stem extension (φ=1)	64	C2.77(C2^2.26C2^4)	128,1914
C₂.₇₈(C₂².₂₆C₂⁴) = C₄².₂₆₀D₄	central stem extension (φ=1)	64	C2.78(C2^2.26C2^4)	128,1915
C₂.₇₉(C₂².₂₆C₂⁴) = C₄².₂₆₁D₄	central stem extension (φ=1)	64	C2.79(C2^2.26C2^4)	128,1916
C₂.₈₀(C₂².₂₆C₂⁴) = C₄².₂₆₂D₄	central stem extension (φ=1)	64	C2.80(C2^2.26C2^4)	128,1917

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.26C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₂₆C₂⁴