Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C19 ⋊ #1818 |
292 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=f,c^2=d,f^2=g,b^a=bd,c^a=ce,h^a=h^18,c^b=cg404 conjugacy classes — view the full character table.
| maximal subgroup of | #18069859, #18069863, #18074718, … |
| maximal normal subgroup of | #18069859, #18069863, #18074718, … |
| maximal quotient of | #18075874, #18075877, #18075880, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4581);