Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C19×#423 ⋊ C2 |
| Sylow | C19 ⋊ #2925 |
392 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=f,c^2=e,f^2=g,b^a=be,h^a=h^18,d^b=dg,h^b=h^18,d^c=dg,h^c=h^18302 conjugacy classes — view the full character table.
| maximal subgroup of | #18076843, #18076847, #18076857, … |
| maximal normal subgroup of | #18076843, #18076847, #18076857, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 13178);