Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C449 ⋊ C4 |
| Sylow | C449 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3592 |
Polycyclic presentation:
2^5,449|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^67,f^d=f^448916 conjugacy classes — view the full character table.
| maximal subgroup of | #43272897, #43272898, C2×#28385394, … |
| maximal normal subgroup of | #43272897, #43272898, C2×#28385394, … |
| maximal quotient of | #43272848, #43272849, #43272872, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 200);