Finite Group DatabasebetaFinite Group Databasebeta| order | 18464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C577 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9232 |
Polycyclic presentation:
2^5,577|a^2=d,d^2=e,f^a=f^553,c^b=ce,f^b=f^576,f^c=f^576,f^d=f^576740 conjugacy classes — view the full character table.
| maximal subgroup of | #49148992, #49148993, #49148994, … |
| maximal normal subgroup of | #49148992, #49148993, #49148994, … |
| maximal quotient of | #49148914, #49148924, #49148956, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18464, 234);