Extensions 1→N→G→Q→1 with N=Q8 and Q=C3xF5

Direct product G=NxQ with N=Q8 and Q=C3xF5
dρLabelID
C3xQ8xF51208C3xQ8xF5480,1056

Semidirect products G=N:Q with N=Q8 and Q=C3xF5
extensionφ:Q→Out NdρLabelID
Q8:(C3xF5) = F5xSL2(F3)φ: C3xF5/F5C3 ⊆ Out Q8408-Q8:(C3xF5)480,965
Q8:2(C3xF5) = C3xQ8:F5φ: C3xF5/C3xD5C2 ⊆ Out Q81208Q8:2(C3xF5)480,289
Q8:3(C3xF5) = C3xQ8:2F5φ: C3xF5/C3xD5C2 ⊆ Out Q81208Q8:3(C3xF5)480,290

Non-split extensions G=N.Q with N=Q8 and Q=C3xF5
extensionφ:Q→Out NdρLabelID
Q8.(C3xF5) = SL2(F3).F5φ: C3xF5/F5C3 ⊆ Out Q81608+Q8.(C3xF5)480,964
Q8.2(C3xF5) = C3xQ8.F5φ: trivial image2408Q8.2(C3xF5)480,1055

׿
x
:
Z
F
o
wr
Q
<