Extensions 1→N→G→Q→1 with N=C2 and Q=C5×C22≀C2

Direct product G=N×Q with N=C2 and Q=C5×C22≀C2
dρLabelID
C10×C22≀C280C10xC2^2wrC2320,1523


Non-split extensions G=N.Q with N=C2 and Q=C5×C22≀C2
extensionφ:Q→Aut NdρLabelID
C2.1(C5×C22≀C2) = C5×C243C4central extension (φ=1)80C2.1(C5xC2^2wrC2)320,880
C2.2(C5×C22≀C2) = C5×C23.8Q8central extension (φ=1)160C2.2(C5xC2^2wrC2)320,886
C2.3(C5×C22≀C2) = C5×C23.23D4central extension (φ=1)160C2.3(C5xC2^2wrC2)320,887
C2.4(C5×C22≀C2) = C5×C232D4central stem extension (φ=1)160C2.4(C5xC2^2wrC2)320,893
C2.5(C5×C22≀C2) = C5×C23⋊Q8central stem extension (φ=1)160C2.5(C5xC2^2wrC2)320,894
C2.6(C5×C22≀C2) = C5×C23.10D4central stem extension (φ=1)160C2.6(C5xC2^2wrC2)320,895
C2.7(C5×C22≀C2) = C5×C23.78C23central stem extension (φ=1)320C2.7(C5xC2^2wrC2)320,896
C2.8(C5×C22≀C2) = C5×C22⋊D8central stem extension (φ=1)80C2.8(C5xC2^2wrC2)320,948
C2.9(C5×C22≀C2) = C5×Q8⋊D4central stem extension (φ=1)160C2.9(C5xC2^2wrC2)320,949
C2.10(C5×C22≀C2) = C5×D4⋊D4central stem extension (φ=1)160C2.10(C5xC2^2wrC2)320,950
C2.11(C5×C22≀C2) = C5×C22⋊SD16central stem extension (φ=1)80C2.11(C5xC2^2wrC2)320,951
C2.12(C5×C22≀C2) = C5×C22⋊Q16central stem extension (φ=1)160C2.12(C5xC2^2wrC2)320,952
C2.13(C5×C22≀C2) = C5×D4.7D4central stem extension (φ=1)160C2.13(C5xC2^2wrC2)320,953
C2.14(C5×C22≀C2) = C5×D44D4central stem extension (φ=1)404C2.14(C5xC2^2wrC2)320,954
C2.15(C5×C22≀C2) = C5×D4.8D4central stem extension (φ=1)804C2.15(C5xC2^2wrC2)320,955
C2.16(C5×C22≀C2) = C5×D4.9D4central stem extension (φ=1)804C2.16(C5xC2^2wrC2)320,956
C2.17(C5×C22≀C2) = C5×D4.10D4central stem extension (φ=1)804C2.17(C5xC2^2wrC2)320,957
C2.18(C5×C22≀C2) = C5×C2≀C22central stem extension (φ=1)404C2.18(C5xC2^2wrC2)320,958
C2.19(C5×C22≀C2) = C5×C23.7D4central stem extension (φ=1)804C2.19(C5xC2^2wrC2)320,959

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