Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₃₄C₂⁴

Direct product G=N×Q with N=C₂ and Q=C₂².₃₄C₂⁴

		d	ρ	Label	ID
C₂×C₂².₃₄C₂⁴		64		C2xC2^2.34C2^4	128,2184

Non-split extensions G=N.Q with N=C₂ and Q=C₂².₃₄C₂⁴

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂².₃₄C₂⁴) = C₂⁴.₁₉₂C₂³	central extension (φ=1)	64	C2.1(C2^2.34C2^4)	128,1046
C₂.₂(C₂².₃₄C₂⁴) = C₂³.₂₀₁C₂⁴	central extension (φ=1)	64	C2.2(C2^2.34C2^4)	128,1051
C₂.₃(C₂².₃₄C₂⁴) = C₄²⋊₁₃D₄	central extension (φ=1)	64	C2.3(C2^2.34C2^4)	128,1056
C₂.₄(C₂².₃₄C₂⁴) = C₄²⋊₁₄D₄	central extension (φ=1)	64	C2.4(C2^2.34C2^4)	128,1060
C₂.₅(C₂².₃₄C₂⁴) = C₄².₃₃Q₈	central extension (φ=1)	128	C2.5(C2^2.34C2^4)	128,1062
C₂.₆(C₂².₃₄C₂⁴) = C₂³.₂₁₅C₂⁴	central extension (φ=1)	64	C2.6(C2^2.34C2^4)	128,1065
C₂.₇(C₂².₃₄C₂⁴) = C₂⁴.₂₀₄C₂³	central extension (φ=1)	64	C2.7(C2^2.34C2^4)	128,1067
C₂.₈(C₂².₃₄C₂⁴) = C₂⁴.₂₅₄C₂³	central stem extension (φ=1)	64	C2.8(C2^2.34C2^4)	128,1152
C₂.₉(C₂².₃₄C₂⁴) = C₂³.₃₂₈C₂⁴	central stem extension (φ=1)	64	C2.9(C2^2.34C2^4)	128,1160
C₂.₁₀(C₂².₃₄C₂⁴) = C₂³.₃₄₅C₂⁴	central stem extension (φ=1)	64	C2.10(C2^2.34C2^4)	128,1177
C₂.₁₁(C₂².₃₄C₂⁴) = C₂³.₃₅₄C₂⁴	central stem extension (φ=1)	64	C2.11(C2^2.34C2^4)	128,1186
C₂.₁₂(C₂².₃₄C₂⁴) = C₂⁴.₂₇₈C₂³	central stem extension (φ=1)	64	C2.12(C2^2.34C2^4)	128,1189
C₂.₁₃(C₂².₃₄C₂⁴) = C₂³.₃₆₄C₂⁴	central stem extension (φ=1)	64	C2.13(C2^2.34C2^4)	128,1196
C₂.₁₄(C₂².₃₄C₂⁴) = C₂⁴.₂₉₀C₂³	central stem extension (φ=1)	64	C2.14(C2^2.34C2^4)	128,1203
C₂.₁₅(C₂².₃₄C₂⁴) = C₂⁴.₂₉₃C₂³	central stem extension (φ=1)	64	C2.15(C2^2.34C2^4)	128,1208
C₂.₁₆(C₂².₃₄C₂⁴) = C₂³.₃₉₀C₂⁴	central stem extension (φ=1)	64	C2.16(C2^2.34C2^4)	128,1222
C₂.₁₇(C₂².₃₄C₂⁴) = C₂³.₃₉₇C₂⁴	central stem extension (φ=1)	64	C2.17(C2^2.34C2^4)	128,1229
C₂.₁₈(C₂².₃₄C₂⁴) = C₂³.₄₀₇C₂⁴	central stem extension (φ=1)	128	C2.18(C2^2.34C2^4)	128,1239
C₂.₁₉(C₂².₃₄C₂⁴) = C₂³.₄₁₃C₂⁴	central stem extension (φ=1)	64	C2.19(C2^2.34C2^4)	128,1245
C₂.₂₀(C₂².₃₄C₂⁴) = C₂³.₄₁₆C₂⁴	central stem extension (φ=1)	64	C2.20(C2^2.34C2^4)	128,1248
C₂.₂₁(C₂².₃₄C₂⁴) = C₂³.₄₂₂C₂⁴	central stem extension (φ=1)	64	C2.21(C2^2.34C2^4)	128,1254
C₂.₂₂(C₂².₃₄C₂⁴) = C₂³.₄₂₆C₂⁴	central stem extension (φ=1)	64	C2.22(C2^2.34C2^4)	128,1258
C₂.₂₃(C₂².₃₄C₂⁴) = C₂³.₄₃₁C₂⁴	central stem extension (φ=1)	64	C2.23(C2^2.34C2^4)	128,1263
C₂.₂₄(C₂².₃₄C₂⁴) = C₄²⋊₂₇D₄	central stem extension (φ=1)	64	C2.24(C2^2.34C2^4)	128,1351
C₂.₂₅(C₂².₃₄C₂⁴) = C₂³.₅₂₄C₂⁴	central stem extension (φ=1)	64	C2.25(C2^2.34C2^4)	128,1356
C₂.₂₆(C₂².₃₄C₂⁴) = C₄².₁₈₈D₄	central stem extension (φ=1)	64	C2.26(C2^2.34C2^4)	128,1361
C₂.₂₇(C₂².₃₄C₂⁴) = C₂³.₅₃₀C₂⁴	central stem extension (φ=1)	64	C2.27(C2^2.34C2^4)	128,1362
C₂.₂₈(C₂².₃₄C₂⁴) = C₂³.₅₃₅C₂⁴	central stem extension (φ=1)	64	C2.28(C2^2.34C2^4)	128,1367
C₂.₂₉(C₂².₃₄C₂⁴) = C₄².₁₉₄D₄	central stem extension (φ=1)	64	C2.29(C2^2.34C2^4)	128,1373
C₂.₃₀(C₂².₃₄C₂⁴) = C₂³.₅₄₄C₂⁴	central stem extension (φ=1)	64	C2.30(C2^2.34C2^4)	128,1376
C₂.₃₁(C₂².₃₄C₂⁴) = C₄².₃₉Q₈	central stem extension (φ=1)	128	C2.31(C2^2.34C2^4)	128,1379
C₂.₃₂(C₂².₃₄C₂⁴) = C₂³.₅₄₈C₂⁴	central stem extension (φ=1)	64	C2.32(C2^2.34C2^4)	128,1380
C₂.₃₃(C₂².₃₄C₂⁴) = C₂⁴.₃₇₅C₂³	central stem extension (φ=1)	64	C2.33(C2^2.34C2^4)	128,1381
C₂.₃₄(C₂².₃₄C₂⁴) = C₂³.₅₅₁C₂⁴	central stem extension (φ=1)	64	C2.34(C2^2.34C2^4)	128,1383
C₂.₃₅(C₂².₃₄C₂⁴) = C₂³.₅₅₄C₂⁴	central stem extension (φ=1)	64	C2.35(C2^2.34C2^4)	128,1386
C₂.₃₆(C₂².₃₄C₂⁴) = C₂⁴.₃₇₇C₂³	central stem extension (φ=1)	64	C2.36(C2^2.34C2^4)	128,1393
C₂.₃₇(C₂².₃₄C₂⁴) = C₂³.₅₆₇C₂⁴	central stem extension (φ=1)	64	C2.37(C2^2.34C2^4)	128,1399
C₂.₃₈(C₂².₃₄C₂⁴) = C₂³.₅₇₁C₂⁴	central stem extension (φ=1)	64	C2.38(C2^2.34C2^4)	128,1403
C₂.₃₉(C₂².₃₄C₂⁴) = C₂³.₅₇₃C₂⁴	central stem extension (φ=1)	64	C2.39(C2^2.34C2^4)	128,1405
C₂.₄₀(C₂².₃₄C₂⁴) = C₂⁴.₃₉₅C₂³	central stem extension (φ=1)	64	C2.40(C2^2.34C2^4)	128,1420
C₂.₄₁(C₂².₃₄C₂⁴) = C₂⁴.₄₀₆C₂³	central stem extension (φ=1)	64	C2.41(C2^2.34C2^4)	128,1431
C₂.₄₂(C₂².₃₄C₂⁴) = C₂⁴.₄₀₇C₂³	central stem extension (φ=1)	64	C2.42(C2^2.34C2^4)	128,1433
C₂.₄₃(C₂².₃₄C₂⁴) = C₂³.₆₀₃C₂⁴	central stem extension (φ=1)	64	C2.43(C2^2.34C2^4)	128,1435
C₂.₄₄(C₂².₃₄C₂⁴) = C₂³.₆₀₆C₂⁴	central stem extension (φ=1)	64	C2.44(C2^2.34C2^4)	128,1438
C₂.₄₅(C₂².₃₄C₂⁴) = C₂³.₆₀₇C₂⁴	central stem extension (φ=1)	64	C2.45(C2^2.34C2^4)	128,1439
C₂.₄₆(C₂².₃₄C₂⁴) = C₂⁴.₄₁₁C₂³	central stem extension (φ=1)	64	C2.46(C2^2.34C2^4)	128,1441
C₂.₄₇(C₂².₃₄C₂⁴) = C₂³.₆₁₁C₂⁴	central stem extension (φ=1)	64	C2.47(C2^2.34C2^4)	128,1443
C₂.₄₈(C₂².₃₄C₂⁴) = C₂⁴.₄₂₆C₂³	central stem extension (φ=1)	64	C2.48(C2^2.34C2^4)	128,1470
C₂.₄₉(C₂².₃₄C₂⁴) = C₂³.₆₄₀C₂⁴	central stem extension (φ=1)	64	C2.49(C2^2.34C2^4)	128,1472
C₂.₅₀(C₂².₃₄C₂⁴) = C₂³.₆₄₁C₂⁴	central stem extension (φ=1)	64	C2.50(C2^2.34C2^4)	128,1473
C₂.₅₁(C₂².₃₄C₂⁴) = C₂³.₆₄₃C₂⁴	central stem extension (φ=1)	64	C2.51(C2^2.34C2^4)	128,1475
C₂.₅₂(C₂².₃₄C₂⁴) = C₂⁴.₄₃₄C₂³	central stem extension (φ=1)	64	C2.52(C2^2.34C2^4)	128,1480
C₂.₅₃(C₂².₃₄C₂⁴) = C₂³.₆₄₉C₂⁴	central stem extension (φ=1)	64	C2.53(C2^2.34C2^4)	128,1481
C₂.₅₄(C₂².₃₄C₂⁴) = C₂³.₆₅₂C₂⁴	central stem extension (φ=1)	64	C2.54(C2^2.34C2^4)	128,1484
C₂.₅₅(C₂².₃₄C₂⁴) = C₂⁴.₄₃₇C₂³	central stem extension (φ=1)	64	C2.55(C2^2.34C2^4)	128,1485
C₂.₅₆(C₂².₃₄C₂⁴) = C₂³.₆₅₆C₂⁴	central stem extension (φ=1)	64	C2.56(C2^2.34C2^4)	128,1488
C₂.₅₇(C₂².₃₄C₂⁴) = C₂⁴.₄₄₀C₂³	central stem extension (φ=1)	64	C2.57(C2^2.34C2^4)	128,1493
C₂.₅₈(C₂².₃₄C₂⁴) = C₂³.₆₆₈C₂⁴	central stem extension (φ=1)	64	C2.58(C2^2.34C2^4)	128,1500
C₂.₅₉(C₂².₃₄C₂⁴) = C₂³.₆₇₃C₂⁴	central stem extension (φ=1)	64	C2.59(C2^2.34C2^4)	128,1505
C₂.₆₀(C₂².₃₄C₂⁴) = C₂³.₆₇₇C₂⁴	central stem extension (φ=1)	64	C2.60(C2^2.34C2^4)	128,1509
C₂.₆₁(C₂².₃₄C₂⁴) = C₂⁴.₄₄₈C₂³	central stem extension (φ=1)	64	C2.61(C2^2.34C2^4)	128,1512
C₂.₆₂(C₂².₃₄C₂⁴) = C₂³.₆₈₆C₂⁴	central stem extension (φ=1)	64	C2.62(C2^2.34C2^4)	128,1518
C₂.₆₃(C₂².₃₄C₂⁴) = C₂³.₆₉₁C₂⁴	central stem extension (φ=1)	128	C2.63(C2^2.34C2^4)	128,1523
C₂.₆₄(C₂².₃₄C₂⁴) = C₂³.₆₉₃C₂⁴	central stem extension (φ=1)	64	C2.64(C2^2.34C2^4)	128,1525
C₂.₆₅(C₂².₃₄C₂⁴) = C₂³.₆₉₇C₂⁴	central stem extension (φ=1)	64	C2.65(C2^2.34C2^4)	128,1529
C₂.₆₆(C₂².₃₄C₂⁴) = C₂³.₇₀₀C₂⁴	central stem extension (φ=1)	64	C2.66(C2^2.34C2^4)	128,1532
C₂.₆₇(C₂².₃₄C₂⁴) = C₂³.₇₀₃C₂⁴	central stem extension (φ=1)	64	C2.67(C2^2.34C2^4)	128,1535
C₂.₆₈(C₂².₃₄C₂⁴) = C₂³.₇₂₈C₂⁴	central stem extension (φ=1)	64	C2.68(C2^2.34C2^4)	128,1560
C₂.₆₉(C₂².₃₄C₂⁴) = C₂³.₇₂₉C₂⁴	central stem extension (φ=1)	64	C2.69(C2^2.34C2^4)	128,1561
C₂.₇₀(C₂².₃₄C₂⁴) = C₂³.₇₃₆C₂⁴	central stem extension (φ=1)	64	C2.70(C2^2.34C2^4)	128,1568
C₂.₇₁(C₂².₃₄C₂⁴) = C₂³.₇₃₇C₂⁴	central stem extension (φ=1)	64	C2.71(C2^2.34C2^4)	128,1569

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.34C24

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².₃₄C₂⁴