Extensions 1→N→G→Q→1 with N=C2xC6 and Q=Dic5

Direct product G=NxQ with N=C2xC6 and Q=Dic5
dρLabelID
C2xC6xDic5240C2xC6xDic5240,163

Semidirect products G=N:Q with N=C2xC6 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
(C2xC6):1Dic5 = C3xC23.D5φ: Dic5/C10C2 ⊆ Aut C2xC6120(C2xC6):1Dic5240,48
(C2xC6):2Dic5 = C30.38D4φ: Dic5/C10C2 ⊆ Aut C2xC6120(C2xC6):2Dic5240,80
(C2xC6):3Dic5 = C22xDic15φ: Dic5/C10C2 ⊆ Aut C2xC6240(C2xC6):3Dic5240,183

Non-split extensions G=N.Q with N=C2xC6 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
(C2xC6).1Dic5 = C3xC4.Dic5φ: Dic5/C10C2 ⊆ Aut C2xC61202(C2xC6).1Dic5240,39
(C2xC6).2Dic5 = C2xC15:3C8φ: Dic5/C10C2 ⊆ Aut C2xC6240(C2xC6).2Dic5240,70
(C2xC6).3Dic5 = C60.7C4φ: Dic5/C10C2 ⊆ Aut C2xC61202(C2xC6).3Dic5240,71
(C2xC6).4Dic5 = C6xC5:2C8central extension (φ=1)240(C2xC6).4Dic5240,38

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