Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C8 · Schur multiplier (H2) = C23 |
| direct product | C3×#68077 |
| Fitting | C32×#322 ⋊ C2 |
| Sylow | C32 ⋊ #1580 |
417 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
252 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10707070, #72222618, #72222655 |
| maximal normal subgroup of | C3×#10707070, #72222618, #72222655 |
| maximal quotient of | C3×#10707078 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 11355);