Extensions 1→N→G→Q→1 with N=C8 and Q=D27

Direct product G=NxQ with N=C8 and Q=D27
dρLabelID
C8xD272162C8xD27432,5

Semidirect products G=N:Q with N=C8 and Q=D27
extensionφ:Q→Aut NdρLabelID
C8:1D27 = D216φ: D27/C27C2 ⊆ Aut C82162+C8:1D27432,8
C8:2D27 = C216:C2φ: D27/C27C2 ⊆ Aut C82162C8:2D27432,7
C8:3D27 = C8:D27φ: D27/C27C2 ⊆ Aut C82162C8:3D27432,6

Non-split extensions G=N.Q with N=C8 and Q=D27
extensionφ:Q→Aut NdρLabelID
C8.D27 = Dic108φ: D27/C27C2 ⊆ Aut C84322-C8.D27432,4
C8.2D27 = C27:C16central extension (φ=1)4322C8.2D27432,1

׿
x
:
Z
F
o
wr
Q
<