Extensions 1→N→G→Q→1 with N=C5 and Q=C5xQ16

Direct product G=NxQ with N=C5 and Q=C5xQ16
dρLabelID
Q16xC52400Q16xC5^2400,115

Semidirect products G=N:Q with N=C5 and Q=C5xQ16
extensionφ:Q→Aut NdρLabelID
C5:1(C5xQ16) = C5xDic20φ: C5xQ16/C40C2 ⊆ Aut C5802C5:1(C5xQ16)400,80
C5:2(C5xQ16) = C5xC5:Q16φ: C5xQ16/C5xQ8C2 ⊆ Aut C5804C5:2(C5xQ16)400,90

Non-split extensions G=N.Q with N=C5 and Q=C5xQ16
extensionφ:Q→Aut NdρLabelID
C5.(C5xQ16) = Q16xC25central extension (φ=1)4002C5.(C5xQ16)400,27

׿
x
:
Z
F
o
wr
Q
<