Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3×C4 · Schur multiplier (H2) = C29 |
| direct product | C3×C4×D3×#41 |
| Fitting | C32×C4×#41 ⋊ C2 |
| Sylow | C32 ⋊ C2×C4×#41 |
3611 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D3×#3498, C4×#41×AGL(1,ℤ/9) |
| maximal normal subgroup of | C3×D3×#3498 |
| maximal quotient of | C4×#41×AGL(1,ℤ/9) |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 133955);