Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C19 ⋊ #2538 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=e,b^2=eg,d^2=e,b^a=be,c^a=cf,d^a=de,h^a=h^18,c^b=cg398 conjugacy classes — view the full character table.
| maximal subgroup of | #18084840, #18084844, #18084858, … |
| maximal normal subgroup of | #18084840, #18084844, #18084858, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 9432);