Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C29 |
| direct product | C3×#41×#67 |
| Fitting | C22×C32×#41 ⋊ C2 |
| Sylow | C32 ⋊ D4×#41 |
3741 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
270 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 136759);