Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C26 |
| direct product | C3×#69498 |
| Fitting | C32×#379 ⋊ C2 |
| Sylow | C32 ⋊ #1781 |
2013 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | #72252259, #72252263, C3×#10943957 |
| maximal normal subgroup of | #72252259, #72252263, C3×#10943957 |
| maximal quotient of | C3×#10710720, C3×#10710712, C3×#10687314 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 18606);