Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C19 ⋊ #2329 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=g,b^2=fg,c^2=f,b^a=be,c^a=cf,d^a=de,h^a=h^18,c^b=ce,h^b=h^18296 conjugacy classes — view the full character table.
| maximal subgroup of | #18076592, #18076596, #18076599, … |
| maximal normal subgroup of | #18076592, #18076596, #18076599, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 7245);