Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C19×#423 ⋊ C2 |
| Sylow | C19 ⋊ #2991 |
394 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=f,d^2=e,f^2=g,b^a=be,c^a=cg,d^a=de,c^b=ceg,h^b=h^18302 conjugacy classes — view the full character table.
| maximal subgroup of | #18076815, #18076819, #18076829, … |
| maximal normal subgroup of | #18076815, #18076819, #18076829, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 13640);