Extensions 1→N→G→Q→1 with N=C2xF5 and Q=Dic3

Direct product G=NxQ with N=C2xF5 and Q=Dic3
dρLabelID
C2xDic3xF5120C2xDic3xF5480,998

Semidirect products G=N:Q with N=C2xF5 and Q=Dic3
extensionφ:Q→Out NdρLabelID
(C2xF5):Dic3 = D10.20D12φ: Dic3/C6C2 ⊆ Out C2xF5120(C2xF5):Dic3480,243

Non-split extensions G=N.Q with N=C2xF5 and Q=Dic3
extensionφ:Q→Out NdρLabelID
(C2xF5).Dic3 = C30.3C42φ: Dic3/C6C2 ⊆ Out C2xF51208(C2xF5).Dic3480,225
(C2xF5).2Dic3 = F5xC3:C8φ: trivial image1208(C2xF5).2Dic3480,223

׿
x
:
Z
F
o
wr
Q
<