Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C8 |
No aliases for this group.
| Sylow | C19 ⋊ #1705 |
214 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|b^2=d,c^2=e,d^2=f,e^2=g,b^a=bd,c^a=ce,d^a=df,e^a=eg,h^c=h^18236 conjugacy classes — view the full character table.
| maximal subgroup of | #18070410, #18070412 |
| maximal normal subgroup of | #18070410, #18070412 |
| maximal quotient of | #18076305, #18082271, #18082272, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4096);