Extensions 1→N→G→Q→1 with N=C2xA4 and Q=D5

Direct product G=NxQ with N=C2xA4 and Q=D5
dρLabelID
C2xD5xA4306+C2xD5xA4240,198

Semidirect products G=N:Q with N=C2xA4 and Q=D5
extensionφ:Q→Out NdρLabelID
(C2xA4):D5 = C2xC5:S4φ: D5/C5C2 ⊆ Out C2xA4306+(C2xA4):D5240,197

Non-split extensions G=N.Q with N=C2xA4 and Q=D5
extensionφ:Q→Out NdρLabelID
(C2xA4).D5 = A4:Dic5φ: D5/C5C2 ⊆ Out C2xA4606-(C2xA4).D5240,107
(C2xA4).2D5 = A4xDic5φ: trivial image606-(C2xA4).2D5240,110

׿
x
:
Z
F
o
wr
Q
<