Extensions 1→N→G→Q→1 with N=C3 and Q=C3:D15

Direct product G=NxQ with N=C3 and Q=C3:D15
dρLabelID
C3xC3:D1590C3xC3:D15270,27

Semidirect products G=N:Q with N=C3 and Q=C3:D15
extensionφ:Q→Aut NdρLabelID
C3:(C3:D15) = C33:D5φ: C3:D15/C3xC15C2 ⊆ Aut C3135C3:(C3:D15)270,29

Non-split extensions G=N.Q with N=C3 and Q=C3:D15
extensionφ:Q→Aut NdρLabelID
C3.(C3:D15) = C3:D45φ: C3:D15/C3xC15C2 ⊆ Aut C3135C3.(C3:D15)270,18
C3.2(C3:D15) = C32:D15central stem extension (φ=1)456C3.2(C3:D15)270,19

׿
x
:
Z
F
o
wr
Q
<