Extensions 1→N→G→Q→1 with N=C5xHe3 and Q=C3

Direct product G=NxQ with N=C5xHe3 and Q=C3
dρLabelID
C15xHe3135C15xHe3405,12

Semidirect products G=N:Q with N=C5xHe3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C5xHe3):1C3 = C5xC3wrC3φ: C3/C1C3 ⊆ Out C5xHe3453(C5xHe3):1C3405,7
(C5xHe3):2C3 = C5xHe3:C3φ: C3/C1C3 ⊆ Out C5xHe31353(C5xHe3):2C3405,9

Non-split extensions G=N.Q with N=C5xHe3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C5xHe3).C3 = C5xHe3.C3φ: C3/C1C3 ⊆ Out C5xHe31353(C5xHe3).C3405,8
(C5xHe3).2C3 = C5xC9oHe3φ: trivial image1353(C5xHe3).2C3405,14

׿
x
:
Z
F
o
wr
Q
<