Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C42 · Schur multiplier (H2) = C26 |
| direct product | C2×C3×D3×#97 |
| Fitting | C2×C32×#97 ⋊ C2 |
| Sylow | C32 ⋊ C22×#97 |
1433 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D32×#97, C2×C3×D3×#442 |
| maximal normal subgroup of | C2×D32×#97, C2×C3×D3×#442 |
| maximal quotient of | C3×#10947846 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91127);