Finite Group DatabasebetaFinite Group Databasebeta| order | 11466 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
| direct product | C2×#19153186 |
| derived, Hall | C13×C49 ⋊ C2×C9 |
| Hall | C2×C13×C49 ⋊ C9 |
| Hall | C2×C49 ⋊ C13⋊C9 |
| Sylow | C49 ⋊ C2×C13⋊C9 |
| Hall | C2×C13 ⋊ C49⋊C9 |
| Sylow | C13 ⋊ C2×C49⋊C9 |
36 conjugacy classes of subgroups.
1290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37524062, #37524066, #37524068, … |
| maximal normal subgroup of | #37524062, #37524066, #37524068, … |
| maximal quotient of | C4×#19153186, C22×#19153186 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11466, 17);