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Cn
Dn
Sn
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Degree
Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=C2 and Q=D4:Dic7

Direct product G=NxQ with N=C2 and Q=D4:Dic7
dρLabelID
C2xD4:Dic7224C2xD4:Dic7448,748


Non-split extensions G=N.Q with N=C2 and Q=D4:Dic7
extensionφ:Q→Aut NdρLabelID
C2.1(D4:Dic7) = C28.C42central extension (φ=1)448C2.1(D4:Dic7)448,86
C2.2(D4:Dic7) = C28.57D8central extension (φ=1)224C2.2(D4:Dic7)448,91
C2.3(D4:Dic7) = (D4xC14):C4central stem extension (φ=1)112C2.3(D4:Dic7)448,94
C2.4(D4:Dic7) = C28.9D8central stem extension (φ=1)224C2.4(D4:Dic7)448,101
C2.5(D4:Dic7) = C28.10D8central stem extension (φ=1)448C2.5(D4:Dic7)448,104
C2.6(D4:Dic7) = C14.SD32central stem extension (φ=1)224C2.6(D4:Dic7)448,119
C2.7(D4:Dic7) = D8.Dic7central stem extension (φ=1)1124C2.7(D4:Dic7)448,120
C2.8(D4:Dic7) = C14.Q32central stem extension (φ=1)448C2.8(D4:Dic7)448,121
C2.9(D4:Dic7) = Q16.Dic7central stem extension (φ=1)2244C2.9(D4:Dic7)448,122
C2.10(D4:Dic7) = D8:2Dic7central stem extension (φ=1)1124C2.10(D4:Dic7)448,123
C2.11(D4:Dic7) = C28.58D8central stem extension (φ=1)2244C2.11(D4:Dic7)448,124

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