# Extensions 1→N→G→Q→1 with N=C2 and Q=2+ 1+4

Direct product G=N×Q with N=C2 and Q=2+ 1+4
dρLabelID
C2×2+ 1+416C2xES+(2,2)64,264

Non-split extensions G=N.Q with N=C2 and Q=2+ 1+4
extensionφ:Q→Aut NdρLabelID
C2.12+ 1+4 = C22.11C24central extension (φ=1)16C2.1ES+(2,2)64,199
C2.22+ 1+4 = C23.33C23central extension (φ=1)32C2.2ES+(2,2)64,201
C2.32+ 1+4 = C233D4central stem extension (φ=1)16C2.3ES+(2,2)64,215
C2.42+ 1+4 = C22.29C24central stem extension (φ=1)16C2.4ES+(2,2)64,216
C2.52+ 1+4 = C22.31C24central stem extension (φ=1)32C2.5ES+(2,2)64,218
C2.62+ 1+4 = C22.32C24central stem extension (φ=1)16C2.6ES+(2,2)64,219
C2.72+ 1+4 = C22.33C24central stem extension (φ=1)32C2.7ES+(2,2)64,220
C2.82+ 1+4 = C22.34C24central stem extension (φ=1)32C2.8ES+(2,2)64,221
C2.92+ 1+4 = C22.36C24central stem extension (φ=1)32C2.9ES+(2,2)64,223
C2.102+ 1+4 = C232Q8central stem extension (φ=1)16C2.10ES+(2,2)64,224
C2.112+ 1+4 = C23.41C23central stem extension (φ=1)32C2.11ES+(2,2)64,225
C2.122+ 1+4 = D42central stem extension (φ=1)16C2.12ES+(2,2)64,226
C2.132+ 1+4 = D45D4central stem extension (φ=1)16C2.13ES+(2,2)64,227
C2.142+ 1+4 = Q86D4central stem extension (φ=1)32C2.14ES+(2,2)64,231
C2.152+ 1+4 = C22.45C24central stem extension (φ=1)16C2.15ES+(2,2)64,232
C2.162+ 1+4 = C22.47C24central stem extension (φ=1)32C2.16ES+(2,2)64,234
C2.172+ 1+4 = D43Q8central stem extension (φ=1)32C2.17ES+(2,2)64,235
C2.182+ 1+4 = C22.49C24central stem extension (φ=1)32C2.18ES+(2,2)64,236
C2.192+ 1+4 = Q82central stem extension (φ=1)64C2.19ES+(2,2)64,239
C2.202+ 1+4 = C22.53C24central stem extension (φ=1)32C2.20ES+(2,2)64,240
C2.212+ 1+4 = C22.54C24central stem extension (φ=1)16C2.21ES+(2,2)64,241
C2.222+ 1+4 = C24⋊C22central stem extension (φ=1)16C2.22ES+(2,2)64,242
C2.232+ 1+4 = C22.56C24central stem extension (φ=1)32C2.23ES+(2,2)64,243
C2.242+ 1+4 = C22.57C24central stem extension (φ=1)32C2.24ES+(2,2)64,244

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