# Extensions 1→N→G→Q→1 with N=C2 and Q=C22×Q16

Direct product G=N×Q with N=C2 and Q=C22×Q16
dρLabelID
C23×Q16128C2^3xQ16128,2308

Non-split extensions G=N.Q with N=C2 and Q=C22×Q16
extensionφ:Q→Aut NdρLabelID
C2.1(C22×Q16) = C22×Q8⋊C4central extension (φ=1)128C2.1(C2^2xQ16)128,1623
C2.2(C22×Q16) = C22×C2.D8central extension (φ=1)128C2.2(C2^2xQ16)128,1640
C2.3(C22×Q16) = C2×C4×Q16central extension (φ=1)128C2.3(C2^2xQ16)128,1670
C2.4(C22×Q16) = C2×C22⋊Q16central stem extension (φ=1)64C2.4(C2^2xQ16)128,1731
C2.5(C22×Q16) = C2×C42Q16central stem extension (φ=1)128C2.5(C2^2xQ16)128,1765
C2.6(C22×Q16) = C2×C8.18D4central stem extension (φ=1)64C2.6(C2^2xQ16)128,1781
C2.7(C22×Q16) = C2×C4.Q16central stem extension (φ=1)128C2.7(C2^2xQ16)128,1806
C2.8(C22×Q16) = C2×C23.48D4central stem extension (φ=1)64C2.8(C2^2xQ16)128,1822
C2.9(C22×Q16) = C42.224D4central stem extension (φ=1)64C2.9(C2^2xQ16)128,1836
C2.10(C22×Q16) = C2×C4.SD16central stem extension (φ=1)128C2.10(C2^2xQ16)128,1861
C2.11(C22×Q16) = C2×C4⋊Q16central stem extension (φ=1)128C2.11(C2^2xQ16)128,1877
C2.12(C22×Q16) = C2×C82Q8central stem extension (φ=1)128C2.12(C2^2xQ16)128,1891
C2.13(C22×Q16) = C42.367D4central stem extension (φ=1)64C2.13(C2^2xQ16)128,1902
C2.14(C22×Q16) = C233Q16central stem extension (φ=1)32C2.14(C2^2xQ16)128,1921
C2.15(C22×Q16) = C42.267D4central stem extension (φ=1)64C2.15(C2^2xQ16)128,1941
C2.16(C22×Q16) = C42.282D4central stem extension (φ=1)64C2.16(C2^2xQ16)128,1962
C2.17(C22×Q16) = C42.297D4central stem extension (φ=1)64C2.17(C2^2xQ16)128,1981
C2.18(C22×Q16) = D4×Q16central stem extension (φ=1)64C2.18(C2^2xQ16)128,2018
C2.19(C22×Q16) = D45Q16central stem extension (φ=1)64C2.19(C2^2xQ16)128,2031
C2.20(C22×Q16) = D46Q16central stem extension (φ=1)64C2.20(C2^2xQ16)128,2070
C2.21(C22×Q16) = Q85Q16central stem extension (φ=1)128C2.21(C2^2xQ16)128,2095
C2.22(C22×Q16) = Q8×Q16central stem extension (φ=1)128C2.22(C2^2xQ16)128,2114
C2.23(C22×Q16) = Q86Q16central stem extension (φ=1)128C2.23(C2^2xQ16)128,2127

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