Extensions 1→N→G→Q→1 with N=C32 and Q=C10

Direct product G=NxQ with N=C32 and Q=C10
dρLabelID
C2xC160320C2xC160320,174

Semidirect products G=N:Q with N=C32 and Q=C10
extensionφ:Q→Aut NdρLabelID
C32:1C10 = C5xD32φ: C10/C5C2 ⊆ Aut C321602C32:1C10320,176
C32:2C10 = C5xSD64φ: C10/C5C2 ⊆ Aut C321602C32:2C10320,177
C32:3C10 = C5xM6(2)φ: C10/C5C2 ⊆ Aut C321602C32:3C10320,175

Non-split extensions G=N.Q with N=C32 and Q=C10
extensionφ:Q→Aut NdρLabelID
C32.C10 = C5xQ64φ: C10/C5C2 ⊆ Aut C323202C32.C10320,178

׿
x
:
Z
F
o
wr
Q
<