Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C449 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
Polycyclic presentation:
2^5,449|a^2=d,d^2=e,f^a=f^67,c^b=ce,f^b=f^448,f^c=f^448,f^d=f^448580 conjugacy classes — view the full character table.
| maximal subgroup of | #43273050, #43273051, #43273052, … |
| maximal normal subgroup of | #43273050, #43273051, #43273052, … |
| maximal quotient of | #43272972, #43272982, #43273014, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 234);