Extensions 1→N→G→Q→1 with N=C10 and Q=C32

Direct product G=NxQ with N=C10 and Q=C32
dρLabelID
C2xC160320C2xC160320,174

Semidirect products G=N:Q with N=C10 and Q=C32
extensionφ:Q→Aut NdρLabelID
C10:C32 = C2xC5:C32φ: C32/C8C4 ⊆ Aut C10320C10:C32320,214
C10:2C32 = C2xC5:2C32φ: C32/C16C2 ⊆ Aut C10320C10:2C32320,56

Non-split extensions G=N.Q with N=C10 and Q=C32
extensionφ:Q→Aut NdρLabelID
C10.C32 = C5:C64φ: C32/C8C4 ⊆ Aut C103204C10.C32320,3
C10.2C32 = C5:2C64φ: C32/C16C2 ⊆ Aut C103202C10.2C32320,1

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