Extensions 1→N→G→Q→1 with N=C10 and Q=Q8

Direct product G=NxQ with N=C10 and Q=Q8
dρLabelID
Q8xC1080Q8xC1080,47

Semidirect products G=N:Q with N=C10 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C10:Q8 = C2xDic10φ: Q8/C4C2 ⊆ Aut C1080C10:Q880,35

Non-split extensions G=N.Q with N=C10 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C10.1Q8 = C10.D4φ: Q8/C4C2 ⊆ Aut C1080C10.1Q880,12
C10.2Q8 = C4:Dic5φ: Q8/C4C2 ⊆ Aut C1080C10.2Q880,13
C10.3Q8 = C5xC4:C4central extension (φ=1)80C10.3Q880,22

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