Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₃₁C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₃₁C₂⁴

		d	ρ	Label	ID
C₂×C₂².₃₁C₂⁴		64		C2xC2^2.31C2^4	128,2180

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₃₁C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₃₁C₂⁴) = C₂⁴.₅₄₂C₂³	central extension (φ=1)	64	C2.1(C2^2.31C2^4)	128,1043
C₂.₂(C₂².₃₁C₂⁴) = C₂⁴.₅₄₅C₂³	central extension (φ=1)	64	C2.2(C2^2.31C2^4)	128,1048
C₂.₃(C₂².₃₁C₂⁴) = C₄².₁₅₉D₄	central extension (φ=1)	64	C2.3(C2^2.31C2^4)	128,1055
C₂.₄(C₂².₃₁C₂⁴) = C₄²⋊₁₃D₄	central extension (φ=1)	64	C2.4(C2^2.31C2^4)	128,1056
C₂.₅(C₂².₃₁C₂⁴) = C₂⁴.₁₉₈C₂³	central extension (φ=1)	64	C2.5(C2^2.31C2^4)	128,1057
C₂.₆(C₂².₃₁C₂⁴) = C₂⁴.₂₄₄C₂³	central stem extension (φ=1)	64	C2.6(C2^2.31C2^4)	128,1139
C₂.₇(C₂².₃₁C₂⁴) = C₂³.₃₁₆C₂⁴	central stem extension (φ=1)	64	C2.7(C2^2.31C2^4)	128,1148
C₂.₈(C₂².₃₁C₂⁴) = C₂⁴.₂₅₂C₂³	central stem extension (φ=1)	64	C2.8(C2^2.31C2^4)	128,1149
C₂.₉(C₂².₃₁C₂⁴) = C₂⁴.₂₆₂C₂³	central stem extension (φ=1)	64	C2.9(C2^2.31C2^4)	128,1162
C₂.₁₀(C₂².₃₁C₂⁴) = C₂³.₃₈₅C₂⁴	central stem extension (φ=1)	64	C2.10(C2^2.31C2^4)	128,1217
C₂.₁₁(C₂².₃₁C₂⁴) = C₂³.₃₉₈C₂⁴	central stem extension (φ=1)	64	C2.11(C2^2.31C2^4)	128,1230
C₂.₁₂(C₂².₃₁C₂⁴) = C₄²⋊₁₈D₄	central stem extension (φ=1)	64	C2.12(C2^2.31C2^4)	128,1269
C₂.₁₃(C₂².₃₁C₂⁴) = C₄².₁₆₆D₄	central stem extension (φ=1)	64	C2.13(C2^2.31C2^4)	128,1270
C₂.₁₄(C₂².₃₁C₂⁴) = C₄²⋊₁₉D₄	central stem extension (φ=1)	64	C2.14(C2^2.31C2^4)	128,1272
C₂.₁₅(C₂².₃₁C₂⁴) = C₄².₁₇₂D₄	central stem extension (φ=1)	64	C2.15(C2^2.31C2^4)	128,1294
C₂.₁₆(C₂².₃₁C₂⁴) = C₄².₁₈₀D₄	central stem extension (φ=1)	128	C2.16(C2^2.31C2^4)	128,1314
C₂.₁₇(C₂².₃₁C₂⁴) = C₄².₁₈₁D₄	central stem extension (φ=1)	128	C2.17(C2^2.31C2^4)	128,1316
C₂.₁₈(C₂².₃₁C₂⁴) = C₄².₁₈₂D₄	central stem extension (φ=1)	64	C2.18(C2^2.31C2^4)	128,1324
C₂.₁₉(C₂².₃₁C₂⁴) = C₄²⋊₂₃D₄	central stem extension (φ=1)	64	C2.19(C2^2.31C2^4)	128,1333
C₂.₂₀(C₂².₃₁C₂⁴) = C₄²⋊₂₅D₄	central stem extension (φ=1)	64	C2.20(C2^2.31C2^4)	128,1341
C₂.₂₁(C₂².₃₁C₂⁴) = C₂⁴.₃₆₀C₂³	central stem extension (φ=1)	64	C2.21(C2^2.31C2^4)	128,1347
C₂.₂₂(C₂².₃₁C₂⁴) = C₂⁴.₃₆₁C₂³	central stem extension (φ=1)	64	C2.22(C2^2.31C2^4)	128,1348
C₂.₂₃(C₂².₃₁C₂⁴) = C₂⁴.₅₈₇C₂³	central stem extension (φ=1)	64	C2.23(C2^2.31C2^4)	128,1350
C₂.₂₄(C₂².₃₁C₂⁴) = C₄²⋊₂₈D₄	central stem extension (φ=1)	64	C2.24(C2^2.31C2^4)	128,1352
C₂.₂₅(C₂².₃₁C₂⁴) = C₂³.₅₂₄C₂⁴	central stem extension (φ=1)	64	C2.25(C2^2.31C2^4)	128,1356
C₂.₂₆(C₂².₃₁C₂⁴) = C₂³.₅₂₅C₂⁴	central stem extension (φ=1)	64	C2.26(C2^2.31C2^4)	128,1357
C₂.₂₇(C₂².₃₁C₂⁴) = C₄².₁₈₈D₄	central stem extension (φ=1)	64	C2.27(C2^2.31C2^4)	128,1361
C₂.₂₈(C₂².₃₁C₂⁴) = C₂³.₅₃₀C₂⁴	central stem extension (φ=1)	64	C2.28(C2^2.31C2^4)	128,1362
C₂.₂₉(C₂².₃₁C₂⁴) = C₄²⋊₃₀D₄	central stem extension (φ=1)	64	C2.29(C2^2.31C2^4)	128,1368
C₂.₃₀(C₂².₃₁C₂⁴) = C₄².₁₉₂D₄	central stem extension (φ=1)	64	C2.30(C2^2.31C2^4)	128,1369
C₂.₃₁(C₂².₃₁C₂⁴) = C₂⁴.₅₉₂C₂³	central stem extension (φ=1)	64	C2.31(C2^2.31C2^4)	128,1371
C₂.₃₂(C₂².₃₁C₂⁴) = C₂³.₅₅₆C₂⁴	central stem extension (φ=1)	64	C2.32(C2^2.31C2^4)	128,1388
C₂.₃₃(C₂².₃₁C₂⁴) = C₂³.₅₅₉C₂⁴	central stem extension (φ=1)	64	C2.33(C2^2.31C2^4)	128,1391
C₂.₃₄(C₂².₃₁C₂⁴) = C₄²⋊₃₂D₄	central stem extension (φ=1)	64	C2.34(C2^2.31C2^4)	128,1394
C₂.₃₅(C₂².₃₁C₂⁴) = C₄².₁₉₈D₄	central stem extension (φ=1)	64	C2.35(C2^2.31C2^4)	128,1396
C₂.₃₆(C₂².₃₁C₂⁴) = C₂³.₅₇₁C₂⁴	central stem extension (φ=1)	64	C2.36(C2^2.31C2^4)	128,1403
C₂.₃₇(C₂².₃₁C₂⁴) = C₂³.₅₇₂C₂⁴	central stem extension (φ=1)	64	C2.37(C2^2.31C2^4)	128,1404
C₂.₃₈(C₂².₃₁C₂⁴) = C₂⁴.₃₈₄C₂³	central stem extension (φ=1)	64	C2.38(C2^2.31C2^4)	128,1407
C₂.₃₉(C₂².₃₁C₂⁴) = C₂³.₅₇₆C₂⁴	central stem extension (φ=1)	64	C2.39(C2^2.31C2^4)	128,1408
C₂.₄₀(C₂².₃₁C₂⁴) = C₂³.₅₈₁C₂⁴	central stem extension (φ=1)	64	C2.40(C2^2.31C2^4)	128,1413
C₂.₄₁(C₂².₃₁C₂⁴) = C₂⁴.₃₈₉C₂³	central stem extension (φ=1)	64	C2.41(C2^2.31C2^4)	128,1414
C₂.₄₂(C₂².₃₁C₂⁴) = C₂³.₅₈₃C₂⁴	central stem extension (φ=1)	64	C2.42(C2^2.31C2^4)	128,1415
C₂.₄₃(C₂².₃₁C₂⁴) = C₂³.₅₉₁C₂⁴	central stem extension (φ=1)	64	C2.43(C2^2.31C2^4)	128,1423
C₂.₄₄(C₂².₃₁C₂⁴) = C₂³.₅₉₃C₂⁴	central stem extension (φ=1)	64	C2.44(C2^2.31C2^4)	128,1425
C₂.₄₅(C₂².₃₁C₂⁴) = C₂³.₅₉₅C₂⁴	central stem extension (φ=1)	64	C2.45(C2^2.31C2^4)	128,1427
C₂.₄₆(C₂².₃₁C₂⁴) = C₂³.₆₀₂C₂⁴	central stem extension (φ=1)	64	C2.46(C2^2.31C2^4)	128,1434
C₂.₄₇(C₂².₃₁C₂⁴) = C₂⁴.₄₀₈C₂³	central stem extension (φ=1)	64	C2.47(C2^2.31C2^4)	128,1436
C₂.₄₈(C₂².₃₁C₂⁴) = C₂³.₆₀₅C₂⁴	central stem extension (φ=1)	64	C2.48(C2^2.31C2^4)	128,1437
C₂.₄₉(C₂².₃₁C₂⁴) = C₂³.₆₀₇C₂⁴	central stem extension (φ=1)	64	C2.49(C2^2.31C2^4)	128,1439
C₂.₅₀(C₂².₃₁C₂⁴) = C₂³.₆₁₂C₂⁴	central stem extension (φ=1)	64	C2.50(C2^2.31C2^4)	128,1444
C₂.₅₁(C₂².₃₁C₂⁴) = C₂³.₆₁₅C₂⁴	central stem extension (φ=1)	64	C2.51(C2^2.31C2^4)	128,1447
C₂.₅₂(C₂².₃₁C₂⁴) = C₂³.₆₂₂C₂⁴	central stem extension (φ=1)	64	C2.52(C2^2.31C2^4)	128,1454
C₂.₅₃(C₂².₃₁C₂⁴) = C₂³.₆₂₅C₂⁴	central stem extension (φ=1)	64	C2.53(C2^2.31C2^4)	128,1457
C₂.₅₄(C₂².₃₁C₂⁴) = C₂³.₆₂₆C₂⁴	central stem extension (φ=1)	128	C2.54(C2^2.31C2^4)	128,1458
C₂.₅₅(C₂².₃₁C₂⁴) = C₂³.₆₂₇C₂⁴	central stem extension (φ=1)	64	C2.55(C2^2.31C2^4)	128,1459
C₂.₅₆(C₂².₃₁C₂⁴) = C₂⁴.₄₅₉C₂³	central stem extension (φ=1)	64	C2.56(C2^2.31C2^4)	128,1545
C₂.₅₇(C₂².₃₁C₂⁴) = C₂³.₇₁₄C₂⁴	central stem extension (φ=1)	64	C2.57(C2^2.31C2^4)	128,1546
C₂.₅₈(C₂².₃₁C₂⁴) = C₄²⋊₃₄D₄	central stem extension (φ=1)	64	C2.58(C2^2.31C2^4)	128,1551
C₂.₅₉(C₂².₃₁C₂⁴) = C₄².₁₉₉D₄	central stem extension (φ=1)	64	C2.59(C2^2.31C2^4)	128,1552
C₂.₆₀(C₂².₃₁C₂⁴) = C₄².₂₀₁D₄	central stem extension (φ=1)	128	C2.60(C2^2.31C2^4)	128,1554
C₂.₆₁(C₂².₃₁C₂⁴) = C₄²⋊₃₅D₄	central stem extension (φ=1)	64	C2.61(C2^2.31C2^4)	128,1555
C₂.₆₂(C₂².₃₁C₂⁴) = C₄².₂₉₃D₄	central stem extension (φ=1)	64	C2.62(C2^2.31C2^4)	128,1977
C₂.₆₃(C₂².₃₁C₂⁴) = C₄².₂₉₄D₄	central stem extension (φ=1)	64	C2.63(C2^2.31C2^4)	128,1978
C₂.₆₄(C₂².₃₁C₂⁴) = C₄².₂₉₅D₄	central stem extension (φ=1)	64	C2.64(C2^2.31C2^4)	128,1979
C₂.₆₅(C₂².₃₁C₂⁴) = C₄².₂₉₆D₄	central stem extension (φ=1)	64	C2.65(C2^2.31C2^4)	128,1980
C₂.₆₆(C₂².₃₁C₂⁴) = C₄².₂₉₇D₄	central stem extension (φ=1)	64	C2.66(C2^2.31C2^4)	128,1981
C₂.₆₇(C₂².₃₁C₂⁴) = C₄².₂₉₈D₄	central stem extension (φ=1)	64	C2.67(C2^2.31C2^4)	128,1982
C₂.₆₈(C₂².₃₁C₂⁴) = C₄².₂₉₉D₄	central stem extension (φ=1)	64	C2.68(C2^2.31C2^4)	128,1983
C₂.₆₉(C₂².₃₁C₂⁴) = C₄².₃₀₀D₄	central stem extension (φ=1)	64	C2.69(C2^2.31C2^4)	128,1984
C₂.₇₀(C₂².₃₁C₂⁴) = C₄².₃₀₁D₄	central stem extension (φ=1)	64	C2.70(C2^2.31C2^4)	128,1985
C₂.₇₁(C₂².₃₁C₂⁴) = C₄².₃₀₂D₄	central stem extension (φ=1)	64	C2.71(C2^2.31C2^4)	128,1986
C₂.₇₂(C₂².₃₁C₂⁴) = C₄².₃₀₃D₄	central stem extension (φ=1)	64	C2.72(C2^2.31C2^4)	128,1987
C₂.₇₃(C₂².₃₁C₂⁴) = C₄².₃₀₄D₄	central stem extension (φ=1)	64	C2.73(C2^2.31C2^4)	128,1988
C₂.₇₄(C₂².₃₁C₂⁴) = C₄.2_-¹⁺⁴	central stem extension (φ=1)	64	C2.74(C2^2.31C2^4)	128,1989
C₂.₇₅(C₂².₃₁C₂⁴) = C₄².₂₅C₂³	central stem extension (φ=1)	64	C2.75(C2^2.31C2^4)	128,1990
C₂.₇₆(C₂².₃₁C₂⁴) = C₄².₂₆C₂³	central stem extension (φ=1)	64	C2.76(C2^2.31C2^4)	128,1991
C₂.₇₇(C₂².₃₁C₂⁴) = C₄².₂₇C₂³	central stem extension (φ=1)	64	C2.77(C2^2.31C2^4)	128,1992
C₂.₇₈(C₂².₃₁C₂⁴) = C₄².₂₈C₂³	central stem extension (φ=1)	64	C2.78(C2^2.31C2^4)	128,1993
C₂.₇₉(C₂².₃₁C₂⁴) = C₄².₂₉C₂³	central stem extension (φ=1)	64	C2.79(C2^2.31C2^4)	128,1994
C₂.₈₀(C₂².₃₁C₂⁴) = C₄².₃₀C₂³	central stem extension (φ=1)	64	C2.80(C2^2.31C2^4)	128,1995

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.31C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₃₁C₂⁴