Extensions 1→N→G→Q→1 with N=C36 and Q=C4

Direct product G=NxQ with N=C36 and Q=C4
dρLabelID
C4xC36144C4xC36144,20

Semidirect products G=N:Q with N=C36 and Q=C4
extensionφ:Q→Aut NdρLabelID
C36:1C4 = C4:Dic9φ: C4/C2C2 ⊆ Aut C36144C36:1C4144,13
C36:2C4 = C4xDic9φ: C4/C2C2 ⊆ Aut C36144C36:2C4144,11
C36:3C4 = C9xC4:C4φ: C4/C2C2 ⊆ Aut C36144C36:3C4144,22

Non-split extensions G=N.Q with N=C36 and Q=C4
extensionφ:Q→Aut NdρLabelID
C36.1C4 = C4.Dic9φ: C4/C2C2 ⊆ Aut C36722C36.1C4144,10
C36.2C4 = C9:C16φ: C4/C2C2 ⊆ Aut C361442C36.2C4144,1
C36.3C4 = C2xC9:C8φ: C4/C2C2 ⊆ Aut C36144C36.3C4144,9
C36.4C4 = C9xM4(2)φ: C4/C2C2 ⊆ Aut C36722C36.4C4144,24

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