Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C449 ⋊ C22⋊Q8 |
74 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
Polycyclic presentation:
2^5,449|a^2=d,b^2=d,b^a=bd,c^a=ce,f^a=f^4483598 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43271743, #43271745, #43272158, … |
| maximal normal subgroup of | #43271743, #43271745, #43272158, … |
| maximal quotient of | #43271867, #43271880, #43271891, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 125);