Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C19 ⋊ #1400 |
74 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
Polycyclic presentation:
2^7,19|a^2=d,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^a=h^18,d^b=dg404 conjugacy classes — view the full character table.
| maximal subgroup of | #18069881, #18069882, #18069883, … |
| maximal normal subgroup of | #18069881, #18069882, #18069883, … |
| maximal quotient of | #18069878, #18069938, #18069980, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2650);