Extensions 1→N→G→Q→1 with N=C2 and Q=C10xC22:C4

Direct product G=NxQ with N=C2 and Q=C10xC22:C4
dρLabelID
C22:C4xC2xC10160C2^2:C4xC2xC10320,1514


Non-split extensions G=N.Q with N=C2 and Q=C10xC22:C4
extensionφ:Q→Aut NdρLabelID
C2.1(C10xC22:C4) = C10xC2.C42central extension (φ=1)320C2.1(C10xC2^2:C4)320,876
C2.2(C10xC22:C4) = C22:C4xC20central extension (φ=1)160C2.2(C10xC2^2:C4)320,878
C2.3(C10xC22:C4) = C10xC22:C8central extension (φ=1)160C2.3(C10xC2^2:C4)320,907
C2.4(C10xC22:C4) = C5xC24:3C4central stem extension (φ=1)80C2.4(C10xC2^2:C4)320,880
C2.5(C10xC22:C4) = C5xC23.7Q8central stem extension (φ=1)160C2.5(C10xC2^2:C4)320,881
C2.6(C10xC22:C4) = C5xC23.34D4central stem extension (φ=1)160C2.6(C10xC2^2:C4)320,882
C2.7(C10xC22:C4) = C5xC23.23D4central stem extension (φ=1)160C2.7(C10xC2^2:C4)320,887
C2.8(C10xC22:C4) = C5xC24.3C22central stem extension (φ=1)160C2.8(C10xC2^2:C4)320,891
C2.9(C10xC22:C4) = C5xC23.67C23central stem extension (φ=1)320C2.9(C10xC2^2:C4)320,892
C2.10(C10xC22:C4) = C5xC24.4C4central stem extension (φ=1)80C2.10(C10xC2^2:C4)320,908
C2.11(C10xC22:C4) = C5x(C22xC8):C2central stem extension (φ=1)160C2.11(C10xC2^2:C4)320,909
C2.12(C10xC22:C4) = C10xC23:C4central stem extension (φ=1)80C2.12(C10xC2^2:C4)320,910
C2.13(C10xC22:C4) = C5xC23.C23central stem extension (φ=1)804C2.13(C10xC2^2:C4)320,911
C2.14(C10xC22:C4) = C10xC4.D4central stem extension (φ=1)80C2.14(C10xC2^2:C4)320,912
C2.15(C10xC22:C4) = C10xC4.10D4central stem extension (φ=1)160C2.15(C10xC2^2:C4)320,913
C2.16(C10xC22:C4) = C5xM4(2).8C22central stem extension (φ=1)804C2.16(C10xC2^2:C4)320,914
C2.17(C10xC22:C4) = C10xD4:C4central stem extension (φ=1)160C2.17(C10xC2^2:C4)320,915
C2.18(C10xC22:C4) = C10xQ8:C4central stem extension (φ=1)320C2.18(C10xC2^2:C4)320,916
C2.19(C10xC22:C4) = C5xC23.24D4central stem extension (φ=1)160C2.19(C10xC2^2:C4)320,917
C2.20(C10xC22:C4) = C5xC23.36D4central stem extension (φ=1)160C2.20(C10xC2^2:C4)320,918
C2.21(C10xC22:C4) = C5xC23.37D4central stem extension (φ=1)80C2.21(C10xC2^2:C4)320,919
C2.22(C10xC22:C4) = C5xC23.38D4central stem extension (φ=1)160C2.22(C10xC2^2:C4)320,920
C2.23(C10xC22:C4) = C10xC4wrC2central stem extension (φ=1)80C2.23(C10xC2^2:C4)320,921
C2.24(C10xC22:C4) = C5xC42:C22central stem extension (φ=1)804C2.24(C10xC2^2:C4)320,922

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