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

Direct product G=N×Q with N=C2 and Q=C2×C4≀C2
dρLabelID
C22×C4≀C232C2^2xC4wrC2128,1631


Non-split extensions G=N.Q with N=C2 and Q=C2×C4≀C2
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4≀C2) = C2×D4⋊C8central extension (φ=1)64C2.1(C2xC4wrC2)128,206
C2.2(C2×C4≀C2) = C2×Q8⋊C8central extension (φ=1)128C2.2(C2xC4wrC2)128,207
C2.3(C2×C4≀C2) = C42.455D4central extension (φ=1)64C2.3(C2xC4wrC2)128,208
C2.4(C2×C4≀C2) = C2×C42⋊6C4central extension (φ=1)32C2.4(C2xC4wrC2)128,464
C2.5(C2×C4≀C2) = C4×C4≀C2central extension (φ=1)32C2.5(C2xC4wrC2)128,490
C2.6(C2×C4≀C2) = C42.47D4central stem extension (φ=1)64C2.6(C2xC4wrC2)128,215
C2.7(C2×C4≀C2) = C42.400D4central stem extension (φ=1)64C2.7(C2xC4wrC2)128,216
C2.8(C2×C4≀C2) = C42.401D4central stem extension (φ=1)64C2.8(C2xC4wrC2)128,217
C2.9(C2×C4≀C2) = D4⋊4M4(2)central stem extension (φ=1)64C2.9(C2xC4wrC2)128,221
C2.10(C2×C4≀C2) = D4⋊5M4(2)central stem extension (φ=1)32C2.10(C2xC4wrC2)128,222
C2.11(C2×C4≀C2) = Q8⋊5M4(2)central stem extension (φ=1)64C2.11(C2xC4wrC2)128,223
C2.12(C2×C4≀C2) = C42.315D4central stem extension (φ=1)64C2.12(C2xC4wrC2)128,224
C2.13(C2×C4≀C2) = C42.316D4central stem extension (φ=1)64C2.13(C2xC4wrC2)128,225
C2.14(C2×C4≀C2) = C42.305D4central stem extension (φ=1)64C2.14(C2xC4wrC2)128,226
C2.15(C2×C4≀C2) = C2×C22.SD16central stem extension (φ=1)32C2.15(C2xC4wrC2)128,230
C2.16(C2×C4≀C2) = C2×C23.31D4central stem extension (φ=1)32C2.16(C2xC4wrC2)128,231
C2.17(C2×C4≀C2) = C42.375D4central stem extension (φ=1)32C2.17(C2xC4wrC2)128,232
C2.18(C2×C4≀C2) = C24.53D4central stem extension (φ=1)32C2.18(C2xC4wrC2)128,233
C2.19(C2×C4≀C2) = C42.403D4central stem extension (φ=1)32C2.19(C2xC4wrC2)128,234
C2.20(C2×C4≀C2) = C42.404D4central stem extension (φ=1)32C2.20(C2xC4wrC2)128,235
C2.21(C2×C4≀C2) = C24.150D4central stem extension (φ=1)16C2.21(C2xC4wrC2)128,236
C2.22(C2×C4≀C2) = C42.55D4central stem extension (φ=1)32C2.22(C2xC4wrC2)128,237
C2.23(C2×C4≀C2) = C42.56D4central stem extension (φ=1)32C2.23(C2xC4wrC2)128,238
C2.24(C2×C4≀C2) = C24.54D4central stem extension (φ=1)32C2.24(C2xC4wrC2)128,239
C2.25(C2×C4≀C2) = C24.55D4central stem extension (φ=1)32C2.25(C2xC4wrC2)128,240
C2.26(C2×C4≀C2) = C42.57D4central stem extension (φ=1)32C2.26(C2xC4wrC2)128,241
C2.27(C2×C4≀C2) = C2×C42.C22central stem extension (φ=1)64C2.27(C2xC4wrC2)128,254
C2.28(C2×C4≀C2) = C2×C42.2C22central stem extension (φ=1)128C2.28(C2xC4wrC2)128,255
C2.29(C2×C4≀C2) = C42.66D4central stem extension (φ=1)64C2.29(C2xC4wrC2)128,256
C2.30(C2×C4≀C2) = C42.405D4central stem extension (φ=1)64C2.30(C2xC4wrC2)128,257
C2.31(C2×C4≀C2) = C42.406D4central stem extension (φ=1)64C2.31(C2xC4wrC2)128,258
C2.32(C2×C4≀C2) = C42.407D4central stem extension (φ=1)32C2.32(C2xC4wrC2)128,259
C2.33(C2×C4≀C2) = C42.408D4central stem extension (φ=1)64C2.33(C2xC4wrC2)128,260
C2.34(C2×C4≀C2) = C42.376D4central stem extension (φ=1)64C2.34(C2xC4wrC2)128,261
C2.35(C2×C4≀C2) = C42.67D4central stem extension (φ=1)64C2.35(C2xC4wrC2)128,262
C2.36(C2×C4≀C2) = C42.68D4central stem extension (φ=1)64C2.36(C2xC4wrC2)128,263
C2.37(C2×C4≀C2) = C42.69D4central stem extension (φ=1)64C2.37(C2xC4wrC2)128,264
C2.38(C2×C4≀C2) = C24.66D4central stem extension (φ=1)32C2.38(C2xC4wrC2)128,521
C2.39(C2×C4≀C2) = C42.102D4central stem extension (φ=1)32C2.39(C2xC4wrC2)128,538
C2.40(C2×C4≀C2) = C24.70D4central stem extension (φ=1)32C2.40(C2xC4wrC2)128,558
C2.41(C2×C4≀C2) = C24.72D4central stem extension (φ=1)32C2.41(C2xC4wrC2)128,603
C2.42(C2×C4≀C2) = (C2×C4)≀C2central stem extension (φ=1)16C2.42(C2xC4wrC2)128,628
C2.43(C2×C4≀C2) = C43⋊C2central stem extension (φ=1)32C2.43(C2xC4wrC2)128,694
C2.44(C2×C4≀C2) = M4(2)⋊13D4central stem extension (φ=1)32C2.44(C2xC4wrC2)128,712
C2.45(C2×C4≀C2) = M4(2)⋊7Q8central stem extension (φ=1)32C2.45(C2xC4wrC2)128,718
C2.46(C2×C4≀C2) = C42⋊16Q8central stem extension (φ=1)32C2.46(C2xC4wrC2)128,726

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