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

Direct product G=N×Q with N=C32 and Q=C10
dρLabelID
C2×C160320C2xC160320,174

Semidirect products G=N:Q with N=C32 and Q=C10
extensionφ:Q→Aut NdρLabelID
C321C10 = C5×D32φ: C10/C5C2 ⊆ Aut C321602C32:1C10320,176
C322C10 = C5×SD64φ: C10/C5C2 ⊆ Aut C321602C32:2C10320,177
C323C10 = C5×M6(2)φ: C10/C5C2 ⊆ Aut C321602C32:3C10320,175

Non-split extensions G=N.Q with N=C32 and Q=C10
extensionφ:Q→Aut NdρLabelID
C32.C10 = C5×Q64φ: C10/C5C2 ⊆ Aut C323202C32.C10320,178

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