Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C3 |
| direct product | #135×#157 |
| Fitting | C32×#135 ⋊ C4 |
| Sylow | C32 ⋊ C4×#135 |
766 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
84 conjugacy classes — view the full character table.
| maximal subgroup of | #135×PSU(3,𝔽2) |
| maximal normal subgroup of | #135×PSU(3,𝔽2) |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 93995);