Extensions 1→N→G→Q→1 with N=Q32 and Q=C10

Direct product G=N×Q with N=Q32 and Q=C10
dρLabelID
C10×Q32320C10xQ32320,1008

Semidirect products G=N:Q with N=Q32 and Q=C10
extensionφ:Q→Out NdρLabelID
Q321C10 = C5×SD64φ: C10/C5C2 ⊆ Out Q321602Q32:1C10320,177
Q322C10 = C5×Q32⋊C2φ: C10/C5C2 ⊆ Out Q321604Q32:2C10320,1011
Q323C10 = C5×C4○D16φ: trivial image1602Q32:3C10320,1009

Non-split extensions G=N.Q with N=Q32 and Q=C10
extensionφ:Q→Out NdρLabelID
Q32.C10 = C5×Q64φ: C10/C5C2 ⊆ Out Q323202Q32.C10320,178

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