Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C19 ⋊ #1526 |
226 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,e^2=f,b^a=bd,d^a=df,h^a=h^18,d^b=dg,e^b=efg290 conjugacy classes — view the full character table.
| maximal subgroup of | #18073547, #18073550, #18073557, … |
| maximal normal subgroup of | #18073547, #18073550, #18073557, … |
| maximal quotient of | #18070494, #18070517, #18070786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 3105);