Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C19×#389 ⋊ C2 |
| Sylow | C19 ⋊ C4×C22⋊Q8 |
656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=g,b^2=e,d^2=eg,b^a=be,c^a=cf,h^c=h^18,h^d=h^18308 conjugacy classes — view the full character table.
| maximal subgroup of | #18070500, #18070573, #18070603, … |
| maximal normal subgroup of | #18070500, #18070573, #18070603, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 7040);