Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C3×#81860 |
| Fitting | C32×#496 ⋊ C2 |
| Sylow | C32 ⋊ #3288 |
1000 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
126 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#11671493, #72214405, #72214431 |
| maximal normal subgroup of | C3×#11671493, #72214405, #72214431 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 120584);