Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C449 ⋊ #108 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
Polycyclic presentation:
2^5,449|a^2=d,b^2=c,c^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^67,f^b=f^448,f^d=f^448910 conjugacy classes — view the full character table.
| maximal subgroup of | #43272921, #43272922, #43272935, … |
| maximal normal subgroup of | #43272921, #43272922, #43272935, … |
| maximal quotient of | #43272869, #43272870, #43272883, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 217);