Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C19 ⋊ #1726 |
328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2432 |
Polycyclic presentation:
2^7,19|a^2=d,b^2=e,c^2=f,d^2=g,h^a=h^18,c^b=cg440 conjugacy classes — view the full character table.
| maximal subgroup of | #18072977, #18072981, #18072985, … |
| maximal normal subgroup of | #18072977, #18072981, #18072985, … |
| maximal quotient of | #18071893, #18071896, #18071902, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4197);