Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C449 ⋊ M32 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
Polycyclic presentation:
2^5,449|a^2=c,c^2=d,d^2=e,b^a=be,f^a=f^122,f^b=f^448,f^c=f^67,f^d=f^448244 conjugacy classes — view the full character table.
| maximal subgroup of | #43273107, #43273108, #43273111, … |
| maximal normal subgroup of | #43273107, #43273108, #43273111, … |
| maximal quotient of | #43273101, #43273104, C4⋊#20297748, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 243);