Finite Group DatabasebetaFinite Group Databasebeta| order | 11132 |
| isoclinism | isoclinic class of D23 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C121 · Schur multiplier (H2) = C2 |
| direct product | C2×D23×C121 |
| Fitting | C2×C23×C121 ⋊ C2 |
| derived, Sylow | C23 ⋊ C22×C121 |
| Hall | C23×C121 ⋊ C22 |
30 conjugacy classes of subgroups.
3146 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D3×D23×C121, C2×C121×D69, C2×C3×D23×C121 |
| maximal normal subgroup of | C2×C3×D23×C121 |
| maximal quotient of | D3×D23×C121, C2×C121×D69, C2×C3×D23×C121 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11132, 11);