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Cn
Dn
Sn
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Linear
Irr Reps
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wr

Extensions 1→N→G→Q→1 with N=C2 and Q=C22wrC2

Direct product G=NxQ with N=C2 and Q=C22wrC2
dρLabelID
C2xC22wrC216C2xC2^2wrC264,202


Non-split extensions G=N.Q with N=C2 and Q=C22wrC2
extensionφ:Q→Aut NdρLabelID
C2.1C22wrC2 = C24:3C4central extension (φ=1)16C2.1C2^2wrC264,60
C2.2C22wrC2 = C23.8Q8central extension (φ=1)32C2.2C2^2wrC264,66
C2.3C22wrC2 = C23.23D4central extension (φ=1)32C2.3C2^2wrC264,67
C2.4C22wrC2 = C23:2D4central stem extension (φ=1)32C2.4C2^2wrC264,73
C2.5C22wrC2 = C23:Q8central stem extension (φ=1)32C2.5C2^2wrC264,74
C2.6C22wrC2 = C23.10D4central stem extension (φ=1)32C2.6C2^2wrC264,75
C2.7C22wrC2 = C23.78C23central stem extension (φ=1)64C2.7C2^2wrC264,76
C2.8C22wrC2 = C22:D8central stem extension (φ=1)16C2.8C2^2wrC264,128
C2.9C22wrC2 = Q8:D4central stem extension (φ=1)32C2.9C2^2wrC264,129
C2.10C22wrC2 = D4:D4central stem extension (φ=1)32C2.10C2^2wrC264,130
C2.11C22wrC2 = C22:SD16central stem extension (φ=1)16C2.11C2^2wrC264,131
C2.12C22wrC2 = C22:Q16central stem extension (φ=1)32C2.12C2^2wrC264,132
C2.13C22wrC2 = D4.7D4central stem extension (φ=1)32C2.13C2^2wrC264,133
C2.14C22wrC2 = D4:4D4central stem extension (φ=1)84+C2.14C2^2wrC264,134
C2.15C22wrC2 = D4.8D4central stem extension (φ=1)164C2.15C2^2wrC264,135
C2.16C22wrC2 = D4.9D4central stem extension (φ=1)164C2.16C2^2wrC264,136
C2.17C22wrC2 = D4.10D4central stem extension (φ=1)164-C2.17C2^2wrC264,137
C2.18C22wrC2 = C2wrC22central stem extension (φ=1)84+C2.18C2^2wrC264,138
C2.19C22wrC2 = C23.7D4central stem extension (φ=1)164C2.19C2^2wrC264,139

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