Extensions 1→N→G→Q→1 with N=Q8 and Q=C30

Direct product G=NxQ with N=Q8 and Q=C30
dρLabelID
Q8xC30240Q8xC30240,187

Semidirect products G=N:Q with N=Q8 and Q=C30
extensionφ:Q→Out NdρLabelID
Q8:C30 = C10xSL2(F3)φ: C30/C10C3 ⊆ Out Q880Q8:C30240,153
Q8:2C30 = C15xSD16φ: C30/C15C2 ⊆ Out Q81202Q8:2C30240,87
Q8:3C30 = C15xC4oD4φ: trivial image1202Q8:3C30240,188

Non-split extensions G=N.Q with N=Q8 and Q=C30
extensionφ:Q→Out NdρLabelID
Q8.C30 = C5xC4.A4φ: C30/C10C3 ⊆ Out Q8802Q8.C30240,154
Q8.2C30 = C15xQ16φ: C30/C15C2 ⊆ Out Q82402Q8.2C30240,88

׿
x
:
Z
F
o
wr
Q
<