Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| isoclinism | isoclinic class of #3744 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29×C3 |
| direct product | C22×#64113 |
| Fitting | C23×C32×C8 ⋊ C2 |
| Sylow | C32 ⋊ C22×#135 |
4512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
312 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 152613);