Finite Group DatabasebetaFinite Group Databasebeta| order | 11466 |
| isoclinism | isoclinic class of D13 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C49 · Schur multiplier (H2) = C3 |
| direct product | C32×D13×C49 |
| Fitting, Hall | C32×C13×C49 ⋊ C2 |
| derived, Sylow | C13 ⋊ C2×C32×C49 |
| Hall | C13×C49 ⋊ C2×C32 |
| Hall | C32×C13 ⋊ C2×C49 |
72 conjugacy classes of subgroups.
3528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C32×C49×#261, C32×C49⋊#261, C32×D13×D49, … |
| maximal normal subgroup of | C32×C49×#261, C32×C49⋊#261, C32×D13×D49, … |
| maximal quotient of | C32×C49×Dic13, C2×C32×D13×C49 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11466, 62);