Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C4⋊Q8

Direct product G=N×Q with N=C2 and Q=C2×C4⋊Q8
dρLabelID
C22×C4⋊Q8128C2^2xC4:Q8128,2173


Non-split extensions G=N.Q with N=C2 and Q=C2×C4⋊Q8
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4⋊Q8) = C2×C429C4central extension (φ=1)128C2.1(C2xC4:Q8)128,1016
C2.2(C2×C4⋊Q8) = C2×C23.65C23central extension (φ=1)128C2.2(C2xC4:Q8)128,1023
C2.3(C2×C4⋊Q8) = C2×C23.67C23central extension (φ=1)128C2.3(C2xC4:Q8)128,1026
C2.4(C2×C4⋊Q8) = C4×C4⋊Q8central extension (φ=1)128C2.4(C2xC4:Q8)128,1039
C2.5(C2×C4⋊Q8) = C2×C23.78C23central stem extension (φ=1)128C2.5(C2xC4:Q8)128,1119
C2.6(C2×C4⋊Q8) = C2×C23.81C23central stem extension (φ=1)128C2.6(C2xC4:Q8)128,1123
C2.7(C2×C4⋊Q8) = C425Q8central stem extension (φ=1)128C2.7(C2xC4:Q8)128,1131
C2.8(C2×C4⋊Q8) = C23.334C24central stem extension (φ=1)64C2.8(C2xC4:Q8)128,1166
C2.9(C2×C4⋊Q8) = C24.568C23central stem extension (φ=1)64C2.9(C2xC4:Q8)128,1172
C2.10(C2×C4⋊Q8) = C23.402C24central stem extension (φ=1)64C2.10(C2xC4:Q8)128,1234
C2.11(C2×C4⋊Q8) = C42.169D4central stem extension (φ=1)128C2.11(C2xC4:Q8)128,1278
C2.12(C2×C4⋊Q8) = C23.449C24central stem extension (φ=1)64C2.12(C2xC4:Q8)128,1281
C2.13(C2×C4⋊Q8) = C426Q8central stem extension (φ=1)128C2.13(C2xC4:Q8)128,1282
C2.14(C2×C4⋊Q8) = C427Q8central stem extension (φ=1)128C2.14(C2xC4:Q8)128,1283
C2.15(C2×C4⋊Q8) = C42.35Q8central stem extension (φ=1)128C2.15(C2xC4:Q8)128,1284
C2.16(C2×C4⋊Q8) = C42.176D4central stem extension (φ=1)128C2.16(C2xC4:Q8)128,1299
C2.17(C2×C4⋊Q8) = C23.483C24central stem extension (φ=1)64C2.17(C2xC4:Q8)128,1315
C2.18(C2×C4⋊Q8) = C42.181D4central stem extension (φ=1)128C2.18(C2xC4:Q8)128,1316
C2.19(C2×C4⋊Q8) = C23.559C24central stem extension (φ=1)64C2.19(C2xC4:Q8)128,1391
C2.20(C2×C4⋊Q8) = C4210Q8central stem extension (φ=1)128C2.20(C2xC4:Q8)128,1392
C2.21(C2×C4⋊Q8) = C42.440D4central stem extension (φ=1)64C2.21(C2xC4:Q8)128,1589
C2.22(C2×C4⋊Q8) = C43.15C2central stem extension (φ=1)128C2.22(C2xC4:Q8)128,1591
C2.23(C2×C4⋊Q8) = C4218Q8central stem extension (φ=1)128C2.23(C2xC4:Q8)128,1594
C2.24(C2×C4⋊Q8) = C4219Q8central stem extension (φ=1)128C2.24(C2xC4:Q8)128,1600
C2.25(C2×C4⋊Q8) = C2×C83Q8central stem extension (φ=1)128C2.25(C2xC4:Q8)128,1889
C2.26(C2×C4⋊Q8) = C2×C8.5Q8central stem extension (φ=1)128C2.26(C2xC4:Q8)128,1890
C2.27(C2×C4⋊Q8) = C2×C82Q8central stem extension (φ=1)128C2.27(C2xC4:Q8)128,1891
C2.28(C2×C4⋊Q8) = C42.364D4central stem extension (φ=1)64C2.28(C2xC4:Q8)128,1892
C2.29(C2×C4⋊Q8) = C2×C8⋊Q8central stem extension (φ=1)128C2.29(C2xC4:Q8)128,1893
C2.30(C2×C4⋊Q8) = C42.252D4central stem extension (φ=1)64C2.30(C2xC4:Q8)128,1894
C2.31(C2×C4⋊Q8) = M4(2)⋊3Q8central stem extension (φ=1)64C2.31(C2xC4:Q8)128,1895
C2.32(C2×C4⋊Q8) = M4(2)⋊4Q8central stem extension (φ=1)64C2.32(C2xC4:Q8)128,1896
C2.33(C2×C4⋊Q8) = M4(2)⋊5Q8central stem extension (φ=1)64C2.33(C2xC4:Q8)128,1897
C2.34(C2×C4⋊Q8) = M4(2)⋊6Q8central stem extension (φ=1)64C2.34(C2xC4:Q8)128,1898

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