Extensions 1→N→G→Q→1 with N=C5 and Q=C2xF5

Direct product G=NxQ with N=C5 and Q=C2xF5
dρLabelID
C10xF5404C10xF5200,45

Semidirect products G=N:Q with N=C5 and Q=C2xF5
extensionφ:Q→Aut NdρLabelID
C5:1(C2xF5) = D5:F5φ: C2xF5/D5C4 ⊆ Aut C5108+C5:1(C2xF5)200,42
C5:2(C2xF5) = C2xC5:F5φ: C2xF5/C10C4 ⊆ Aut C550C5:2(C2xF5)200,47
C5:3(C2xF5) = C2xC52:C4φ: C2xF5/C10C4 ⊆ Aut C5204+C5:3(C2xF5)200,48
C5:4(C2xF5) = D5xF5φ: C2xF5/F5C2 ⊆ Aut C5208+C5:4(C2xF5)200,41
C5:5(C2xF5) = C2xD5.D5φ: C2xF5/D10C2 ⊆ Aut C5404C5:5(C2xF5)200,46

Non-split extensions G=N.Q with N=C5 and Q=C2xF5
extensionφ:Q→Aut NdρLabelID
C5.(C2xF5) = C2xC25:C4φ: C2xF5/C10C4 ⊆ Aut C5504+C5.(C2xF5)200,12

׿
x
:
Z
F
o
wr
Q
<