Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×#41×D9 |
| Fitting | C4×C9×#41 ⋊ C2 |
| Sylow | C9 ⋊ C2×C4×#41 |
2592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | D9×#3498, C4×#41×AGL(1,ℤ/9) |
| maximal normal subgroup of | D9×#3498, C4×#41×AGL(1,ℤ/9) |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 133953);