Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C3×#80280 |
| Fitting | C32×#453 ⋊ C2 |
| Sylow | C32 ⋊ #3288 |
1012 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
126 conjugacy classes — view the full character table.
| maximal subgroup of | #72214885, C3×#11671496, #72214930 |
| maximal normal subgroup of | #72214885, C3×#11671496, #72214930 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 120569);