Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#10588794 |
| Fitting | C23×C8×C9 ⋊ C2 |
| Sylow | C9 ⋊ C2×#416 |
1188 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, 91792);