Finite Group DatabasebetaFinite Group Databasebeta| order | 11466 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| derived, Hall | C13×C49 ⋊ C2×C9 |
| Hall | #19153185 ⋊ C2 |
| Hall | C13×D49 ⋊ C9 |
| Hall | D49 ⋊ C13⋊C9 |
| Sylow | C49 ⋊ C2×C13⋊C9 |
| Sylow | C13 ⋊ D49⋊C9 |
36 conjugacy classes of subgroups.
Polycyclic presentation:
2,3,7,13,3,7|b^3=e,c^7=f^6,c^a=c^6f,f^a=f^6,c^b=c^2f^3,d^b=d^3,f^b=f^2354 conjugacy classes — view the full character table.
| maximal subgroup of | #26039363⋊C2, C2×#26039367 |
| maximal normal subgroup of | #26039363⋊C2, C2×#26039367 |
| maximal quotient of | #37524065, C2×#26039367 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11466, 10);