Extensions 1→N→G→Q→1 with N=C36 and Q=C10

Direct product G=N×Q with N=C36 and Q=C10
dρLabelID
C2×C180360C2xC180360,30

Semidirect products G=N:Q with N=C36 and Q=C10
extensionφ:Q→Aut NdρLabelID
C361C10 = C5×D36φ: C10/C5C2 ⊆ Aut C361802C36:1C10360,22
C362C10 = D9×C20φ: C10/C5C2 ⊆ Aut C361802C36:2C10360,21
C363C10 = D4×C45φ: C10/C5C2 ⊆ Aut C361802C36:3C10360,31

Non-split extensions G=N.Q with N=C36 and Q=C10
extensionφ:Q→Aut NdρLabelID
C36.1C10 = C5×Dic18φ: C10/C5C2 ⊆ Aut C363602C36.1C10360,20
C36.2C10 = C5×C9⋊C8φ: C10/C5C2 ⊆ Aut C363602C36.2C10360,1
C36.3C10 = Q8×C45φ: C10/C5C2 ⊆ Aut C363602C36.3C10360,32

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