Finite Group DatabasebetaFinite Group Databasebeta| order | 18063 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C223 ⋊ #733 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6021 |
Polycyclic presentation:
3^4,223|a^3=d,b^3=d^2,b^a=bc,c^a=cd,e^b=e^183831 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18063, 36);