Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₂₉C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₂₉C₂⁴

		d	ρ	Label	ID
C₂×C₂².₂₉C₂⁴		32		C2xC2^2.29C2^4	128,2178

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₂₉C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₂₉C₂⁴) = C₂³.₁₉₁C₂⁴	central extension (φ=1)	32	C2.1(C2^2.29C2^4)	128,1041
C₂.₂(C₂².₂₉C₂⁴) = C₂⁴.₅₄₂C₂³	central extension (φ=1)	64	C2.2(C2^2.29C2^4)	128,1043
C₂.₃(C₂².₂₉C₂⁴) = C₂³.₁₉₉C₂⁴	central extension (φ=1)	64	C2.3(C2^2.29C2^4)	128,1049
C₂.₄(C₂².₂₉C₂⁴) = C₂³.₂₀₃C₂⁴	central extension (φ=1)	32	C2.4(C2^2.29C2^4)	128,1053
C₂.₅(C₂².₂₉C₂⁴) = C₄²⋊₁₃D₄	central extension (φ=1)	64	C2.5(C2^2.29C2^4)	128,1056
C₂.₆(C₂².₂₉C₂⁴) = C₄².₁₆₀D₄	central extension (φ=1)	64	C2.6(C2^2.29C2^4)	128,1058
C₂.₇(C₂².₂₉C₂⁴) = C₄²⋊₁₄D₄	central extension (φ=1)	64	C2.7(C2^2.29C2^4)	128,1060
C₂.₈(C₂².₂₉C₂⁴) = C₂³.₃₀₄C₂⁴	central stem extension (φ=1)	32	C2.8(C2^2.29C2^4)	128,1136
C₂.₉(C₂².₂₉C₂⁴) = C₂³.₃₀₈C₂⁴	central stem extension (φ=1)	32	C2.9(C2^2.29C2^4)	128,1140
C₂.₁₀(C₂².₂₉C₂⁴) = C₂³.₃₁₁C₂⁴	central stem extension (φ=1)	32	C2.10(C2^2.29C2^4)	128,1143
C₂.₁₁(C₂².₂₉C₂⁴) = C₂⁴.₂₄₉C₂³	central stem extension (φ=1)	64	C2.11(C2^2.29C2^4)	128,1146
C₂.₁₂(C₂².₂₉C₂⁴) = C₂⁴.₂₆₃C₂³	central stem extension (φ=1)	64	C2.12(C2^2.29C2^4)	128,1163
C₂.₁₃(C₂².₂₉C₂⁴) = C₂³.₃₃₃C₂⁴	central stem extension (φ=1)	32	C2.13(C2^2.29C2^4)	128,1165
C₂.₁₄(C₂².₂₉C₂⁴) = C₂³.₃₃₅C₂⁴	central stem extension (φ=1)	32	C2.14(C2^2.29C2^4)	128,1167
C₂.₁₅(C₂².₂₉C₂⁴) = C₂³.₃₈₂C₂⁴	central stem extension (φ=1)	32	C2.15(C2^2.29C2^4)	128,1214
C₂.₁₆(C₂².₂₉C₂⁴) = C₂⁴.₃₀₀C₂³	central stem extension (φ=1)	64	C2.16(C2^2.29C2^4)	128,1219
C₂.₁₇(C₂².₂₉C₂⁴) = C₂³.₄₀₀C₂⁴	central stem extension (φ=1)	64	C2.17(C2^2.29C2^4)	128,1232
C₂.₁₈(C₂².₂₉C₂⁴) = C₂³.₄₀₂C₂⁴	central stem extension (φ=1)	64	C2.18(C2^2.29C2^4)	128,1234
C₂.₁₉(C₂².₂₉C₂⁴) = C₂³.₄₀₄C₂⁴	central stem extension (φ=1)	64	C2.19(C2^2.29C2^4)	128,1236
C₂.₂₀(C₂².₂₉C₂⁴) = C₄²⋊₁₇D₄	central stem extension (φ=1)	64	C2.20(C2^2.29C2^4)	128,1267
C₂.₂₁(C₂².₂₉C₂⁴) = C₄²⋊₂₀D₄	central stem extension (φ=1)	64	C2.21(C2^2.29C2^4)	128,1273
C₂.₂₂(C₂².₂₉C₂⁴) = C₄²⋊₂₁D₄	central stem extension (φ=1)	64	C2.22(C2^2.29C2^4)	128,1276
C₂.₂₃(C₂².₂₉C₂⁴) = C₄².₁₇₁D₄	central stem extension (φ=1)	64	C2.23(C2^2.29C2^4)	128,1280
C₂.₂₄(C₂².₂₉C₂⁴) = C₄².₁₇₃D₄	central stem extension (φ=1)	64	C2.24(C2^2.29C2^4)	128,1295
C₂.₂₅(C₂².₂₉C₂⁴) = C₄².₁₇₅D₄	central stem extension (φ=1)	64	C2.25(C2^2.29C2^4)	128,1298
C₂.₂₆(C₂².₂₉C₂⁴) = C₄².₁₇₆D₄	central stem extension (φ=1)	128	C2.26(C2^2.29C2^4)	128,1299
C₂.₂₇(C₂².₂₉C₂⁴) = C₄².₁₇₈D₄	central stem extension (φ=1)	64	C2.27(C2^2.29C2^4)	128,1312
C₂.₂₈(C₂².₂₉C₂⁴) = C₄²⋊₂₂D₄	central stem extension (φ=1)	64	C2.28(C2^2.29C2^4)	128,1330
C₂.₂₉(C₂².₂₉C₂⁴) = C₄²⋊₂₄D₄	central stem extension (φ=1)	64	C2.29(C2^2.29C2^4)	128,1335
C₂.₃₀(C₂².₂₉C₂⁴) = C₄²⋊₂₆D₄	central stem extension (φ=1)	64	C2.30(C2^2.29C2^4)	128,1342
C₂.₃₁(C₂².₂₉C₂⁴) = C₂⁴⋊₉D₄	central stem extension (φ=1)	32	C2.31(C2^2.29C2^4)	128,1345
C₂.₃₂(C₂².₂₉C₂⁴) = C₂⁴.₃₆₀C₂³	central stem extension (φ=1)	64	C2.32(C2^2.29C2^4)	128,1347
C₂.₃₃(C₂².₂₉C₂⁴) = C₂⁴⋊₁₀D₄	central stem extension (φ=1)	32	C2.33(C2^2.29C2^4)	128,1349
C₂.₃₄(C₂².₂₉C₂⁴) = C₄²⋊₂₇D₄	central stem extension (φ=1)	64	C2.34(C2^2.29C2^4)	128,1351
C₂.₃₅(C₂².₂₉C₂⁴) = C₄²⋊₂₈D₄	central stem extension (φ=1)	64	C2.35(C2^2.29C2^4)	128,1352
C₂.₃₆(C₂².₂₉C₂⁴) = C₂⁴.₅₈₉C₂³	central stem extension (φ=1)	64	C2.36(C2^2.29C2^4)	128,1355
C₂.₃₇(C₂².₂₉C₂⁴) = C₂³.₅₂₄C₂⁴	central stem extension (φ=1)	64	C2.37(C2^2.29C2^4)	128,1356
C₂.₃₈(C₂².₂₉C₂⁴) = C₂⁴⋊₅Q₈	central stem extension (φ=1)	32	C2.38(C2^2.29C2^4)	128,1358
C₂.₃₉(C₂².₂₉C₂⁴) = C₄².₁₈₇D₄	central stem extension (φ=1)	64	C2.39(C2^2.29C2^4)	128,1360
C₂.₄₀(C₂².₂₉C₂⁴) = C₄²⋊₂₉D₄	central stem extension (φ=1)	64	C2.40(C2^2.29C2^4)	128,1363
C₂.₄₁(C₂².₂₉C₂⁴) = C₄².₁₈₉D₄	central stem extension (φ=1)	64	C2.41(C2^2.29C2^4)	128,1364
C₂.₄₂(C₂².₂₉C₂⁴) = C₄².₁₉₀D₄	central stem extension (φ=1)	64	C2.42(C2^2.29C2^4)	128,1365
C₂.₄₃(C₂².₂₉C₂⁴) = C₂³.₅₃₅C₂⁴	central stem extension (φ=1)	64	C2.43(C2^2.29C2^4)	128,1367
C₂.₄₄(C₂².₂₉C₂⁴) = C₄²⋊₃₀D₄	central stem extension (φ=1)	64	C2.44(C2^2.29C2^4)	128,1368
C₂.₄₅(C₂².₂₉C₂⁴) = C₄².₁₉₃D₄	central stem extension (φ=1)	64	C2.45(C2^2.29C2^4)	128,1372
C₂.₄₆(C₂².₂₉C₂⁴) = C₄².₁₉₄D₄	central stem extension (φ=1)	64	C2.46(C2^2.29C2^4)	128,1373
C₂.₄₇(C₂².₂₉C₂⁴) = C₄²⋊₃₁D₄	central stem extension (φ=1)	64	C2.47(C2^2.29C2^4)	128,1389
C₂.₄₈(C₂².₂₉C₂⁴) = C₄²⋊₁₀Q₈	central stem extension (φ=1)	128	C2.48(C2^2.29C2^4)	128,1392
C₂.₄₉(C₂².₂₉C₂⁴) = C₂⁴.₃₇₇C₂³	central stem extension (φ=1)	64	C2.49(C2^2.29C2^4)	128,1393
C₂.₅₀(C₂².₂₉C₂⁴) = C₄²⋊₃₂D₄	central stem extension (φ=1)	64	C2.50(C2^2.29C2^4)	128,1394
C₂.₅₁(C₂².₂₉C₂⁴) = C₂³.₅₆₉C₂⁴	central stem extension (φ=1)	32	C2.51(C2^2.29C2^4)	128,1401
C₂.₅₂(C₂².₂₉C₂⁴) = C₂³.₅₇₀C₂⁴	central stem extension (φ=1)	32	C2.52(C2^2.29C2^4)	128,1402
C₂.₅₃(C₂².₂₉C₂⁴) = C₂³.₅₇₃C₂⁴	central stem extension (φ=1)	64	C2.53(C2^2.29C2^4)	128,1405
C₂.₅₄(C₂².₂₉C₂⁴) = C₂³.₅₇₆C₂⁴	central stem extension (φ=1)	64	C2.54(C2^2.29C2^4)	128,1408
C₂.₅₅(C₂².₂₉C₂⁴) = C₂³.₅₇₈C₂⁴	central stem extension (φ=1)	32	C2.55(C2^2.29C2^4)	128,1410
C₂.₅₆(C₂².₂₉C₂⁴) = C₂³.₅₈₅C₂⁴	central stem extension (φ=1)	32	C2.56(C2^2.29C2^4)	128,1417
C₂.₅₇(C₂².₂₉C₂⁴) = C₂³.₅₉₂C₂⁴	central stem extension (φ=1)	64	C2.57(C2^2.29C2^4)	128,1424
C₂.₅₈(C₂².₂₉C₂⁴) = C₂⁴.₄₀₃C₂³	central stem extension (φ=1)	64	C2.58(C2^2.29C2^4)	128,1428
C₂.₅₉(C₂².₂₉C₂⁴) = C₂³.₆₀₃C₂⁴	central stem extension (φ=1)	64	C2.59(C2^2.29C2^4)	128,1435
C₂.₆₀(C₂².₂₉C₂⁴) = C₂³.₆₀₆C₂⁴	central stem extension (φ=1)	64	C2.60(C2^2.29C2^4)	128,1438
C₂.₆₁(C₂².₂₉C₂⁴) = C₂⁴.₄₁₂C₂³	central stem extension (φ=1)	64	C2.61(C2^2.29C2^4)	128,1442
C₂.₆₂(C₂².₂₉C₂⁴) = C₂³.₆₁₁C₂⁴	central stem extension (φ=1)	64	C2.62(C2^2.29C2^4)	128,1443
C₂.₆₃(C₂².₂₉C₂⁴) = C₂⁴.₄₁₃C₂³	central stem extension (φ=1)	64	C2.63(C2^2.29C2^4)	128,1446
C₂.₆₄(C₂².₂₉C₂⁴) = C₂³.₆₁₈C₂⁴	central stem extension (φ=1)	64	C2.64(C2^2.29C2^4)	128,1450
C₂.₆₅(C₂².₂₉C₂⁴) = C₂³.₆₂₀C₂⁴	central stem extension (φ=1)	64	C2.65(C2^2.29C2^4)	128,1452
C₂.₆₆(C₂².₂₉C₂⁴) = C₂⁴.₄₁₈C₂³	central stem extension (φ=1)	64	C2.66(C2^2.29C2^4)	128,1455
C₂.₆₇(C₂².₂₉C₂⁴) = C₂⁴.₄₅₉C₂³	central stem extension (φ=1)	64	C2.67(C2^2.29C2^4)	128,1545
C₂.₆₈(C₂².₂₉C₂⁴) = C₂³.₇₁₅C₂⁴	central stem extension (φ=1)	64	C2.68(C2^2.29C2^4)	128,1547
C₂.₆₉(C₂².₂₉C₂⁴) = C₂³.₇₁₆C₂⁴	central stem extension (φ=1)	64	C2.69(C2^2.29C2^4)	128,1548
C₂.₇₀(C₂².₂₉C₂⁴) = C₄²⋊₃₃D₄	central stem extension (φ=1)	64	C2.70(C2^2.29C2^4)	128,1550
C₂.₇₁(C₂².₂₉C₂⁴) = C₄²⋊₃₄D₄	central stem extension (φ=1)	64	C2.71(C2^2.29C2^4)	128,1551
C₂.₇₂(C₂².₂₉C₂⁴) = C₄².₁₉₉D₄	central stem extension (φ=1)	64	C2.72(C2^2.29C2^4)	128,1552
C₂.₇₃(C₂².₂₉C₂⁴) = C₄².₂₀₀D₄	central stem extension (φ=1)	64	C2.73(C2^2.29C2^4)	128,1553
C₂.₇₄(C₂².₂₉C₂⁴) = C₄².₂₆₃D₄	central stem extension (φ=1)	32	C2.74(C2^2.29C2^4)	128,1937
C₂.₇₅(C₂².₂₉C₂⁴) = C₄².₂₆₄D₄	central stem extension (φ=1)	64	C2.75(C2^2.29C2^4)	128,1938
C₂.₇₆(C₂².₂₉C₂⁴) = C₄².₂₆₅D₄	central stem extension (φ=1)	64	C2.76(C2^2.29C2^4)	128,1939
C₂.₇₇(C₂².₂₉C₂⁴) = C₄².₂₆₆D₄	central stem extension (φ=1)	32	C2.77(C2^2.29C2^4)	128,1940
C₂.₇₈(C₂².₂₉C₂⁴) = C₄².₂₆₇D₄	central stem extension (φ=1)	64	C2.78(C2^2.29C2^4)	128,1941
C₂.₇₉(C₂².₂₉C₂⁴) = C₄².₂₆₈D₄	central stem extension (φ=1)	64	C2.79(C2^2.29C2^4)	128,1942
C₂.₈₀(C₂².₂₉C₂⁴) = C₄².₂₆₉D₄	central stem extension (φ=1)	32	C2.80(C2^2.29C2^4)	128,1943
C₂.₈₁(C₂².₂₉C₂⁴) = C₄².₂₇₀D₄	central stem extension (φ=1)	64	C2.81(C2^2.29C2^4)	128,1944
C₂.₈₂(C₂².₂₉C₂⁴) = C₄².₂₇₁D₄	central stem extension (φ=1)	32	C2.82(C2^2.29C2^4)	128,1945
C₂.₈₃(C₂².₂₉C₂⁴) = C₄².₂₇₂D₄	central stem extension (φ=1)	64	C2.83(C2^2.29C2^4)	128,1946
C₂.₈₄(C₂².₂₉C₂⁴) = C₄².₂₇₃D₄	central stem extension (φ=1)	32	C2.84(C2^2.29C2^4)	128,1947
C₂.₈₅(C₂².₂₉C₂⁴) = C₄².₂₇₄D₄	central stem extension (φ=1)	64	C2.85(C2^2.29C2^4)	128,1948
C₂.₈₆(C₂².₂₉C₂⁴) = C₄².₂₇₅D₄	central stem extension (φ=1)	32	C2.86(C2^2.29C2^4)	128,1949
C₂.₈₇(C₂².₂₉C₂⁴) = C₄².₂₇₆D₄	central stem extension (φ=1)	64	C2.87(C2^2.29C2^4)	128,1950
C₂.₈₈(C₂².₂₉C₂⁴) = C₄².₂₇₇D₄	central stem extension (φ=1)	64	C2.88(C2^2.29C2^4)	128,1951
C₂.₈₉(C₂².₂₉C₂⁴) = C₄².₄₀₆C₂³	central stem extension (φ=1)	32	C2.89(C2^2.29C2^4)	128,1952
C₂.₉₀(C₂².₂₉C₂⁴) = C₄².₄₀₇C₂³	central stem extension (φ=1)	64	C2.90(C2^2.29C2^4)	128,1953
C₂.₉₁(C₂².₂₉C₂⁴) = C₄².₄₀₈C₂³	central stem extension (φ=1)	32	C2.91(C2^2.29C2^4)	128,1954
C₂.₉₂(C₂².₂₉C₂⁴) = C₄².₄₀₉C₂³	central stem extension (φ=1)	64	C2.92(C2^2.29C2^4)	128,1955
C₂.₉₃(C₂².₂₉C₂⁴) = C₄².₄₁₀C₂³	central stem extension (φ=1)	32	C2.93(C2^2.29C2^4)	128,1956
C₂.₉₄(C₂².₂₉C₂⁴) = C₄².₄₁₁C₂³	central stem extension (φ=1)	64	C2.94(C2^2.29C2^4)	128,1957

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.29C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₂₉C₂⁴