Extensions 1→N→G→Q→1 with N=C15 and Q=C30

Direct product G=NxQ with N=C15 and Q=C30
dρLabelID
C15xC30450C15xC30450,34

Semidirect products G=N:Q with N=C15 and Q=C30
extensionφ:Q→Aut NdρLabelID
C15:1C30 = C15xD15φ: C30/C15C2 ⊆ Aut C15302C15:1C30450,29
C15:2C30 = D5xC3xC15φ: C30/C15C2 ⊆ Aut C1590C15:2C30450,26
C15:3C30 = S3xC5xC15φ: C30/C15C2 ⊆ Aut C15150C15:3C30450,28

Non-split extensions G=N.Q with N=C15 and Q=C30
extensionφ:Q→Aut NdρLabelID
C15.1C30 = D5xC45φ: C30/C15C2 ⊆ Aut C15902C15.1C30450,14
C15.2C30 = S3xC75φ: C30/C15C2 ⊆ Aut C151502C15.2C30450,6

׿
x
:
Z
F
o
wr
Q
<