Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₄₉C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₄₉C₂⁴

		d	ρ	Label	ID
C₂×C₂².₄₉C₂⁴		64		C2xC2^2.49C2^4	128,2205

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₄₉C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₄₉C₂⁴) = C₂⁴.₂₀₈C₂³	central extension (φ=1)	64	C2.1(C2^2.49C2^4)	128,1078
C₂.₂(C₂².₄₉C₂⁴) = C₂³.₂₃₆C₂⁴	central extension (φ=1)	64	C2.2(C2^2.49C2^4)	128,1086
C₂.₃(C₂².₄₉C₂⁴) = C₂⁴.₂₁₇C₂³	central extension (φ=1)	64	C2.3(C2^2.49C2^4)	128,1095
C₂.₄(C₂².₄₉C₂⁴) = C₂³.₂₅₁C₂⁴	central extension (φ=1)	128	C2.4(C2^2.49C2^4)	128,1101
C₂.₅(C₂².₄₉C₂⁴) = C₂⁴.₂₂₁C₂³	central extension (φ=1)	64	C2.5(C2^2.49C2^4)	128,1104
C₂.₆(C₂².₄₉C₂⁴) = C₂⁴.₂₄₉C₂³	central stem extension (φ=1)	64	C2.6(C2^2.49C2^4)	128,1146
C₂.₇(C₂².₄₉C₂⁴) = C₂⁴.₂₅₄C₂³	central stem extension (φ=1)	64	C2.7(C2^2.49C2^4)	128,1152
C₂.₈(C₂².₄₉C₂⁴) = C₂⁴.₂₆₇C₂³	central stem extension (φ=1)	64	C2.8(C2^2.49C2^4)	128,1171
C₂.₉(C₂².₄₉C₂⁴) = C₂³.₃₅₉C₂⁴	central stem extension (φ=1)	64	C2.9(C2^2.49C2^4)	128,1191
C₂.₁₀(C₂².₄₉C₂⁴) = C₂³.₃₇₄C₂⁴	central stem extension (φ=1)	64	C2.10(C2^2.49C2^4)	128,1206
C₂.₁₁(C₂².₄₉C₂⁴) = C₂⁴.₂₉₃C₂³	central stem extension (φ=1)	64	C2.11(C2^2.49C2^4)	128,1208
C₂.₁₂(C₂².₄₉C₂⁴) = C₂³.₃₈₅C₂⁴	central stem extension (φ=1)	64	C2.12(C2^2.49C2^4)	128,1217
C₂.₁₃(C₂².₄₉C₂⁴) = C₂³.₃₉₁C₂⁴	central stem extension (φ=1)	64	C2.13(C2^2.49C2^4)	128,1223
C₂.₁₄(C₂².₄₉C₂⁴) = C₂³.₃₉₅C₂⁴	central stem extension (φ=1)	64	C2.14(C2^2.49C2^4)	128,1227
C₂.₁₅(C₂².₄₉C₂⁴) = C₂³.₃₉₇C₂⁴	central stem extension (φ=1)	64	C2.15(C2^2.49C2^4)	128,1229
C₂.₁₆(C₂².₄₉C₂⁴) = C₂³.₄₀₀C₂⁴	central stem extension (φ=1)	64	C2.16(C2^2.49C2^4)	128,1232
C₂.₁₇(C₂².₄₉C₂⁴) = C₂³.₄₀₈C₂⁴	central stem extension (φ=1)	128	C2.17(C2^2.49C2^4)	128,1240
C₂.₁₈(C₂².₄₉C₂⁴) = C₂³.₄₁₃C₂⁴	central stem extension (φ=1)	64	C2.18(C2^2.49C2^4)	128,1245
C₂.₁₉(C₂².₄₉C₂⁴) = C₂³.₄₁₈C₂⁴	central stem extension (φ=1)	64	C2.19(C2^2.49C2^4)	128,1250
C₂.₂₀(C₂².₄₉C₂⁴) = C₂³.₄₂₆C₂⁴	central stem extension (φ=1)	64	C2.20(C2^2.49C2^4)	128,1258
C₂.₂₁(C₂².₄₉C₂⁴) = C₂³.₄₂₉C₂⁴	central stem extension (φ=1)	64	C2.21(C2^2.49C2^4)	128,1261
C₂.₂₂(C₂².₄₉C₂⁴) = C₂³.₄₃₁C₂⁴	central stem extension (φ=1)	64	C2.22(C2^2.49C2^4)	128,1263
C₂.₂₃(C₂².₄₉C₂⁴) = C₂³.₄₃₂C₂⁴	central stem extension (φ=1)	64	C2.23(C2^2.49C2^4)	128,1264
C₂.₂₄(C₂².₄₉C₂⁴) = C₄²⋊₁₈D₄	central stem extension (φ=1)	64	C2.24(C2^2.49C2^4)	128,1269
C₂.₂₅(C₂².₄₉C₂⁴) = C₂³.₄₅₅C₂⁴	central stem extension (φ=1)	64	C2.25(C2^2.49C2^4)	128,1287
C₂.₂₆(C₂².₄₉C₂⁴) = C₄².₁₇₃D₄	central stem extension (φ=1)	64	C2.26(C2^2.49C2^4)	128,1295
C₂.₂₇(C₂².₄₉C₂⁴) = C₄².₃₇Q₈	central stem extension (φ=1)	128	C2.27(C2^2.49C2^4)	128,1303
C₂.₂₈(C₂².₄₉C₂⁴) = C₂³.₄₇₂C₂⁴	central stem extension (φ=1)	64	C2.28(C2^2.49C2^4)	128,1304
C₂.₂₉(C₂².₄₉C₂⁴) = C₂⁴.₃₃₈C₂³	central stem extension (φ=1)	64	C2.29(C2^2.49C2^4)	128,1306
C₂.₃₀(C₂².₄₉C₂⁴) = C₂³.₄₉₃C₂⁴	central stem extension (φ=1)	64	C2.30(C2^2.49C2^4)	128,1325
C₂.₃₁(C₂².₄₉C₂⁴) = C₄²⋊₂₅D₄	central stem extension (φ=1)	64	C2.31(C2^2.49C2^4)	128,1341
C₂.₃₂(C₂².₄₉C₂⁴) = C₄²⋊₂₆D₄	central stem extension (φ=1)	64	C2.32(C2^2.49C2^4)	128,1342
C₂.₃₃(C₂².₄₉C₂⁴) = C₄²⋊₉Q₈	central stem extension (φ=1)	128	C2.33(C2^2.49C2^4)	128,1344
C₂.₃₄(C₂².₄₉C₂⁴) = C₂⁴.₃₉₃C₂³	central stem extension (φ=1)	64	C2.34(C2^2.49C2^4)	128,1418
C₂.₃₅(C₂².₄₉C₂⁴) = C₂⁴.₄₀₆C₂³	central stem extension (φ=1)	64	C2.35(C2^2.49C2^4)	128,1431
C₂.₃₆(C₂².₄₉C₂⁴) = C₂³.₆₃₁C₂⁴	central stem extension (φ=1)	64	C2.36(C2^2.49C2^4)	128,1463
C₂.₃₇(C₂².₄₉C₂⁴) = C₂³.₆₃₃C₂⁴	central stem extension (φ=1)	64	C2.37(C2^2.49C2^4)	128,1465
C₂.₃₈(C₂².₄₉C₂⁴) = C₂³.₆₃₇C₂⁴	central stem extension (φ=1)	64	C2.38(C2^2.49C2^4)	128,1469
C₂.₃₉(C₂².₄₉C₂⁴) = C₂⁴.₄₃₀C₂³	central stem extension (φ=1)	64	C2.39(C2^2.49C2^4)	128,1476
C₂.₄₀(C₂².₄₉C₂⁴) = C₂³.₆₅₆C₂⁴	central stem extension (φ=1)	64	C2.40(C2^2.49C2^4)	128,1488
C₂.₄₁(C₂².₄₉C₂⁴) = C₂³.₆₆₉C₂⁴	central stem extension (φ=1)	128	C2.41(C2^2.49C2^4)	128,1501
C₂.₄₂(C₂².₄₉C₂⁴) = C₂³.₆₇₅C₂⁴	central stem extension (φ=1)	64	C2.42(C2^2.49C2^4)	128,1507
C₂.₄₃(C₂².₄₉C₂⁴) = C₂³.₆₈₁C₂⁴	central stem extension (φ=1)	64	C2.43(C2^2.49C2^4)	128,1513
C₂.₄₄(C₂².₄₉C₂⁴) = C₂³.₆₈₃C₂⁴	central stem extension (φ=1)	64	C2.44(C2^2.49C2^4)	128,1515
C₂.₄₅(C₂².₄₉C₂⁴) = C₂⁴.₄₅₀C₂³	central stem extension (φ=1)	64	C2.45(C2^2.49C2^4)	128,1516
C₂.₄₆(C₂².₄₉C₂⁴) = C₂³.₆₈₅C₂⁴	central stem extension (φ=1)	64	C2.46(C2^2.49C2^4)	128,1517
C₂.₄₇(C₂².₄₉C₂⁴) = C₂³.₆₉₅C₂⁴	central stem extension (φ=1)	64	C2.47(C2^2.49C2^4)	128,1527
C₂.₄₈(C₂².₄₉C₂⁴) = C₂³.₇₀₃C₂⁴	central stem extension (φ=1)	64	C2.48(C2^2.49C2^4)	128,1535
C₂.₄₉(C₂².₄₉C₂⁴) = C₂³.₇₀₈C₂⁴	central stem extension (φ=1)	64	C2.49(C2^2.49C2^4)	128,1540
C₂.₅₀(C₂².₄₉C₂⁴) = C₂³.₇₀₉C₂⁴	central stem extension (φ=1)	128	C2.50(C2^2.49C2^4)	128,1541

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.49C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₄₉C₂⁴