Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D3×#5077 |
| Fitting | C32×#127 ⋊ C22 |
| Sylow | C32 ⋊ C2×#453 |
1772 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
90 conjugacy classes — view the full character table.
| maximal subgroup of | C3×D3×#5077, #72220392, D32×#453, … |
| maximal normal subgroup of | C3×D3×#5077, D32×#453, C2×D3×#5077 |
| maximal quotient of | C3×D3×#5077, #72220392, C2×D3×#5077 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 98787);