| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C27 |
| direct product | C3×(C2×D3)⋊#95 |
| unambiguous semidirect product | (C2×D3)⋊(C3×#95) |
| Fitting | C2×C32×#95 ⋊ C2 |
| Sylow | C32 ⋊ C22⋊#95 |
2341 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
288 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 7163);