Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C4○D4

Direct product G=N×Q with N=C2 and Q=C2×C4○D4
dρLabelID
C22×C4○D432C2^2xC4oD464,263


Non-split extensions G=N.Q with N=C2 and Q=C2×C4○D4
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4○D4) = C2×C42⋊C2central extension (φ=1)32C2.1(C2xC4oD4)64,195
C2.2(C2×C4○D4) = C2×C4×D4central extension (φ=1)32C2.2(C2xC4oD4)64,196
C2.3(C2×C4○D4) = C2×C4×Q8central extension (φ=1)64C2.3(C2xC4oD4)64,197
C2.4(C2×C4○D4) = C4×C4○D4central extension (φ=1)32C2.4(C2xC4oD4)64,198
C2.5(C2×C4○D4) = C2×C4⋊D4central stem extension (φ=1)32C2.5(C2xC4oD4)64,203
C2.6(C2×C4○D4) = C2×C22⋊Q8central stem extension (φ=1)32C2.6(C2xC4oD4)64,204
C2.7(C2×C4○D4) = C2×C22.D4central stem extension (φ=1)32C2.7(C2xC4oD4)64,205
C2.8(C2×C4○D4) = C22.19C24central stem extension (φ=1)16C2.8(C2xC4oD4)64,206
C2.9(C2×C4○D4) = C2×C4.4D4central stem extension (φ=1)32C2.9(C2xC4oD4)64,207
C2.10(C2×C4○D4) = C2×C42.C2central stem extension (φ=1)64C2.10(C2xC4oD4)64,208
C2.11(C2×C4○D4) = C2×C422C2central stem extension (φ=1)32C2.11(C2xC4oD4)64,209
C2.12(C2×C4○D4) = C23.36C23central stem extension (φ=1)32C2.12(C2xC4oD4)64,210
C2.13(C2×C4○D4) = C22.26C24central stem extension (φ=1)32C2.13(C2xC4oD4)64,213
C2.14(C2×C4○D4) = C23.37C23central stem extension (φ=1)32C2.14(C2xC4oD4)64,214
C2.15(C2×C4○D4) = C22.32C24central stem extension (φ=1)16C2.15(C2xC4oD4)64,219
C2.16(C2×C4○D4) = C22.33C24central stem extension (φ=1)32C2.16(C2xC4oD4)64,220
C2.17(C2×C4○D4) = C22.34C24central stem extension (φ=1)32C2.17(C2xC4oD4)64,221
C2.18(C2×C4○D4) = C22.35C24central stem extension (φ=1)32C2.18(C2xC4oD4)64,222
C2.19(C2×C4○D4) = C22.36C24central stem extension (φ=1)32C2.19(C2xC4oD4)64,223
C2.20(C2×C4○D4) = D45D4central stem extension (φ=1)16C2.20(C2xC4oD4)64,227
C2.21(C2×C4○D4) = D46D4central stem extension (φ=1)32C2.21(C2xC4oD4)64,228
C2.22(C2×C4○D4) = Q85D4central stem extension (φ=1)32C2.22(C2xC4oD4)64,229
C2.23(C2×C4○D4) = Q86D4central stem extension (φ=1)32C2.23(C2xC4oD4)64,231
C2.24(C2×C4○D4) = C22.45C24central stem extension (φ=1)16C2.24(C2xC4oD4)64,232
C2.25(C2×C4○D4) = C22.46C24central stem extension (φ=1)32C2.25(C2xC4oD4)64,233
C2.26(C2×C4○D4) = C22.47C24central stem extension (φ=1)32C2.26(C2xC4oD4)64,234
C2.27(C2×C4○D4) = D43Q8central stem extension (φ=1)32C2.27(C2xC4oD4)64,235
C2.28(C2×C4○D4) = C22.49C24central stem extension (φ=1)32C2.28(C2xC4oD4)64,236
C2.29(C2×C4○D4) = C22.50C24central stem extension (φ=1)32C2.29(C2xC4oD4)64,237
C2.30(C2×C4○D4) = Q83Q8central stem extension (φ=1)64C2.30(C2xC4oD4)64,238
C2.31(C2×C4○D4) = C22.53C24central stem extension (φ=1)32C2.31(C2xC4oD4)64,240

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