Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C26×C3 · Schur multiplier (H2) = C214 |
| direct product | C2×C3×#5964 |
| Fitting | C22×C32×#41 ⋊ C2 |
| Sylow | C32 ⋊ C2×#585 |
12357 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
324 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 153266);