Extensions 1→N→G→Q→1 with N=C16 and Q=Dic5

Direct product G=NxQ with N=C16 and Q=Dic5
dρLabelID
C16xDic5320C16xDic5320,58

Semidirect products G=N:Q with N=C16 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C16:1Dic5 = C40.Q8φ: Dic5/C5C4 ⊆ Aut C16804C16:1Dic5320,71
C16:2Dic5 = C80:C4φ: Dic5/C5C4 ⊆ Aut C16804C16:2Dic5320,70
C16:3Dic5 = C80:13C4φ: Dic5/C10C2 ⊆ Aut C16320C16:3Dic5320,62
C16:4Dic5 = C80:14C4φ: Dic5/C10C2 ⊆ Aut C16320C16:4Dic5320,63
C16:5Dic5 = C80:17C4φ: Dic5/C10C2 ⊆ Aut C16320C16:5Dic5320,60

Non-split extensions G=N.Q with N=C16 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C16.1Dic5 = C80.6C4φ: Dic5/C10C2 ⊆ Aut C161602C16.1Dic5320,64
C16.2Dic5 = C80.9C4φ: Dic5/C10C2 ⊆ Aut C161602C16.2Dic5320,57
C16.3Dic5 = C5:2C64central extension (φ=1)3202C16.3Dic5320,1
C16.4Dic5 = C2xC5:2C32central extension (φ=1)320C16.4Dic5320,56

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