Extensions 1→N→G→Q→1 with N=C32 and Q=C6

Direct product G=N×Q with N=C32 and Q=C6
dρLabelID
C2×C96192C2xC96192,175

Semidirect products G=N:Q with N=C32 and Q=C6
extensionφ:Q→Aut NdρLabelID
C32⋊1C6 = C3×D32φ: C6/C3 → C2 ⊆ Aut C32962C32:1C6192,177
C32⋊2C6 = C3×SD64φ: C6/C3 → C2 ⊆ Aut C32962C32:2C6192,178
C32⋊3C6 = C3×M6(2)φ: C6/C3 → C2 ⊆ Aut C32962C32:3C6192,176

Non-split extensions G=N.Q with N=C32 and Q=C6
extensionφ:Q→Aut NdρLabelID
C32.C6 = C3×Q64φ: C6/C3 → C2 ⊆ Aut C321922C32.C6192,179

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