Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C19 ⋊ #1735 |
424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=e,b^2=f,c^2=g,d^2=g,f^2=g,b^a=bd,d^a=dg,f^a=fg,h^b=h^18416 conjugacy classes — view the full character table.
| maximal subgroup of | #18087730, #18087731, #18087735, … |
| maximal normal subgroup of | #18087730, #18087731, #18087735, … |
| maximal quotient of | #18071997, #18072007, #18072018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4226);