Extensions 1→N→G→Q→1 with N=C5:D5 and Q=D5

Direct product G=NxQ with N=C5:D5 and Q=D5
dρLabelID
D5xC5:D550D5xC5:D5500,51

Semidirect products G=N:Q with N=C5:D5 and Q=D5
extensionφ:Q→Out NdρLabelID
C5:D5:D5 = C52:D10φ: D5/C1D5 ⊆ Out C5:D52510+C5:D5:D5500,27
C5:D5:2D5 = C52:5D10φ: D5/C5C2 ⊆ Out C5:D5204C5:D5:2D5500,52

Non-split extensions G=N.Q with N=C5:D5 and Q=D5
extensionφ:Q→Out NdρLabelID
C5:D5.D5 = He5:C4φ: D5/C1D5 ⊆ Out C5:D52520+C5:D5.D5500,21
C5:D5.2D5 = C53:6C4φ: D5/C5C2 ⊆ Out C5:D5204C5:D5.2D5500,46
C5:D5.3D5 = C53:7C4φ: D5/C5C2 ⊆ Out C5:D5100C5:D5.3D5500,47

׿
x
:
Z
F
o
wr
Q
<