Finite Group DatabasebetaFinite Group Databasebeta| order | 1824 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Hall | C3×C19 ⋊ C22⋊C8 |
| Sylow | C19 ⋊ #830 |
| Sylow | C3 ⋊ C22⋊(C19⋊C8) |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 912 |
Polycyclic presentation:
2^5,3,19|a^2=d,d^2=e,b^a=bc,f^a=f^2,g^a=g^18468 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1824, 251);