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Extensions 1→N→G→Q→1 with N=C2 and Q=C2xC23:C4

Direct product G=NxQ with N=C2 and Q=C2xC23:C4
dρLabelID
C22xC23:C432C2^2xC2^3:C4128,1613


Non-split extensions G=N.Q with N=C2 and Q=C2xC23:C4
extensionφ:Q→Aut NdρLabelID
C2.1(C2xC23:C4) = C2xC23:C8central extension (φ=1)32C2.1(C2xC2^3:C4)128,188
C2.2(C2xC23:C4) = C2xC22.M4(2)central extension (φ=1)64C2.2(C2xC2^3:C4)128,189
C2.3(C2xC23:C4) = C23.8M4(2)central extension (φ=1)32C2.3(C2xC2^3:C4)128,191
C2.4(C2xC23:C4) = C2xC23.9D4central extension (φ=1)32C2.4(C2xC2^3:C4)128,471
C2.5(C2xC23:C4) = C4xC23:C4central extension (φ=1)32C2.5(C2xC2^3:C4)128,486
C2.6(C2xC23:C4) = C25.3C4central stem extension (φ=1)16C2.6(C2xC2^3:C4)128,194
C2.7(C2xC23:C4) = (C2xC4):M4(2)central stem extension (φ=1)32C2.7(C2xC2^3:C4)128,195
C2.8(C2xC23:C4) = C23:M4(2)central stem extension (φ=1)32C2.8(C2xC2^3:C4)128,197
C2.9(C2xC23:C4) = C23:C8:C2central stem extension (φ=1)32C2.9(C2xC2^3:C4)128,200
C2.10(C2xC23:C4) = C24.(C2xC4)central stem extension (φ=1)32C2.10(C2xC2^3:C4)128,203
C2.11(C2xC23:C4) = C24.45(C2xC4)central stem extension (φ=1)32C2.11(C2xC2^3:C4)128,204
C2.12(C2xC23:C4) = C2xC22.SD16central stem extension (φ=1)32C2.12(C2xC2^3:C4)128,230
C2.13(C2xC23:C4) = C2xC23.31D4central stem extension (φ=1)32C2.13(C2xC2^3:C4)128,231
C2.14(C2xC23:C4) = C24.53D4central stem extension (φ=1)32C2.14(C2xC2^3:C4)128,233
C2.15(C2xC23:C4) = C24.150D4central stem extension (φ=1)16C2.15(C2xC2^3:C4)128,236
C2.16(C2xC23:C4) = C24.54D4central stem extension (φ=1)32C2.16(C2xC2^3:C4)128,239
C2.17(C2xC23:C4) = C24.55D4central stem extension (φ=1)32C2.17(C2xC2^3:C4)128,240
C2.18(C2xC23:C4) = C24.56D4central stem extension (φ=1)32C2.18(C2xC2^3:C4)128,242
C2.19(C2xC23:C4) = C24.57D4central stem extension (φ=1)32C2.19(C2xC2^3:C4)128,243
C2.20(C2xC23:C4) = C24.58D4central stem extension (φ=1)32C2.20(C2xC2^3:C4)128,245
C2.21(C2xC23:C4) = C24.59D4central stem extension (φ=1)32C2.21(C2xC2^3:C4)128,248
C2.22(C2xC23:C4) = C24.60D4central stem extension (φ=1)32C2.22(C2xC2^3:C4)128,251
C2.23(C2xC23:C4) = C24.61D4central stem extension (φ=1)32C2.23(C2xC2^3:C4)128,252
C2.24(C2xC23:C4) = C25:C4central stem extension (φ=1)16C2.24(C2xC2^3:C4)128,513
C2.25(C2xC23:C4) = C24.167C23central stem extension (φ=1)32C2.25(C2xC2^3:C4)128,531
C2.26(C2xC23:C4) = C24.68D4central stem extension (φ=1)16C2.26(C2xC2^3:C4)128,551
C2.27(C2xC23:C4) = C24.78D4central stem extension (φ=1)16C2.27(C2xC2^3:C4)128,630
C2.28(C2xC23:C4) = C24.175C23central stem extension (φ=1)32C2.28(C2xC2^3:C4)128,696
C2.29(C2xC23:C4) = C24.176C23central stem extension (φ=1)32C2.29(C2xC2^3:C4)128,728
C2.30(C2xC23:C4) = C2xC2wrC4central stem extension (φ=1)16C2.30(C2xC2^3:C4)128,850
C2.31(C2xC23:C4) = C2xC23.D4central stem extension (φ=1)32C2.31(C2xC2^3:C4)128,851
C2.32(C2xC23:C4) = C4oC2wrC4central stem extension (φ=1)164C2.32(C2xC2^3:C4)128,852
C2.33(C2xC23:C4) = C24.36D4central stem extension (φ=1)168+C2.33(C2xC2^3:C4)128,853
C2.34(C2xC23:C4) = C2wrC4:C2central stem extension (φ=1)168+C2.34(C2xC2^3:C4)128,854
C2.35(C2xC23:C4) = C23.(C2xD4)central stem extension (φ=1)328-C2.35(C2xC2^3:C4)128,855
C2.36(C2xC23:C4) = C2xC42:C4central stem extension (φ=1)16C2.36(C2xC2^3:C4)128,856
C2.37(C2xC23:C4) = C2xC42:3C4central stem extension (φ=1)32C2.37(C2xC2^3:C4)128,857
C2.38(C2xC23:C4) = C4:Q8:29C4central stem extension (φ=1)164C2.38(C2xC2^3:C4)128,858
C2.39(C2xC23:C4) = C24.39D4central stem extension (φ=1)168+C2.39(C2xC2^3:C4)128,859
C2.40(C2xC23:C4) = C4.4D4:C4central stem extension (φ=1)168+C2.40(C2xC2^3:C4)128,860
C2.41(C2xC23:C4) = C4:Q8:C4central stem extension (φ=1)328-C2.41(C2xC2^3:C4)128,861
C2.42(C2xC23:C4) = C2xC42.C4central stem extension (φ=1)32C2.42(C2xC2^3:C4)128,862
C2.43(C2xC23:C4) = C2xC42.3C4central stem extension (φ=1)32C2.43(C2xC2^3:C4)128,863
C2.44(C2xC23:C4) = (C2xD4).135D4central stem extension (φ=1)164C2.44(C2xC2^3:C4)128,864
C2.45(C2xC23:C4) = C4:Q8.C4central stem extension (φ=1)328-C2.45(C2xC2^3:C4)128,865
C2.46(C2xC23:C4) = C4:1D4.C4central stem extension (φ=1)168+C2.46(C2xC2^3:C4)128,866
C2.47(C2xC23:C4) = (C2xD4).137D4central stem extension (φ=1)328-C2.47(C2xC2^3:C4)128,867

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