Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×C4⋊C4×C19 ⋊ C2 |
| Sylow | C19 ⋊ #2579 |
584 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|b^2=eg,c^2=g,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 | #18080545, #18080550 |
| maximal normal subgroup of | #18080545, #18080550 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 9857);