Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | D32×#131 |
| Fitting | C32×#131 ⋊ C22 |
| Sylow | C32 ⋊ C22×#131 |
3141 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | D32×#444 |
| maximal normal subgroup of | D32×#444 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 152475);