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Cn
Dn
Sn
An
Degree
Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=C2 and Q=C22:C4

Direct product G=NxQ with N=C2 and Q=C22:C4
dρLabelID
C2xC22:C416C2xC2^2:C432,22


Non-split extensions G=N.Q with N=C2 and Q=C22:C4
extensionφ:Q→Aut NdρLabelID
C2.1(C22:C4) = C2.C42central extension (φ=1)32C2.1(C2^2:C4)32,2
C2.2(C22:C4) = C22:C8central extension (φ=1)16C2.2(C2^2:C4)32,5
C2.3(C22:C4) = C23:C4central stem extension (φ=1)84+C2.3(C2^2:C4)32,6
C2.4(C22:C4) = C4.D4central stem extension (φ=1)84+C2.4(C2^2:C4)32,7
C2.5(C22:C4) = C4.10D4central stem extension (φ=1)164-C2.5(C2^2:C4)32,8
C2.6(C22:C4) = D4:C4central stem extension (φ=1)16C2.6(C2^2:C4)32,9
C2.7(C22:C4) = Q8:C4central stem extension (φ=1)32C2.7(C2^2:C4)32,10
C2.8(C22:C4) = C4wrC2central stem extension (φ=1)82C2.8(C2^2:C4)32,11

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