| order | 1728 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C25 |
| direct product | C3×D3×C3⋊#95 |
| unambiguous semidirect product | (C3×D3)⋊(C3×#95) |
| Sylow | C33 ⋊ C2×#95 |
1762 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
324 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 24434);