Extensions 1→N→G→Q→1 with N=C6 and Q=Dic17

Direct product G=NxQ with N=C6 and Q=Dic17
dρLabelID
C6xDic17408C6xDic17408,18

Semidirect products G=N:Q with N=C6 and Q=Dic17
extensionφ:Q→Aut NdρLabelID
C6:Dic17 = C2xDic51φ: Dic17/C34C2 ⊆ Aut C6408C6:Dic17408,28

Non-split extensions G=N.Q with N=C6 and Q=Dic17
extensionφ:Q→Aut NdρLabelID
C6.Dic17 = C51:5C8φ: Dic17/C34C2 ⊆ Aut C64082C6.Dic17408,3
C6.2Dic17 = C3xC17:3C8central extension (φ=1)4082C6.2Dic17408,2

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