Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Sylow | C19 ⋊ #3458 |
996 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
Polycyclic presentation:
2^7,19|a^2=g,c^2=g,e^2=f,b^a=bf,c^a=cg,d^a=df,c^b=cf,h^c=h^18404 conjugacy classes — view the full character table.
| maximal subgroup of | #18074379, #18074382 |
| maximal normal subgroup of | #18074379, #18074382 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 17915);