Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C19 ⋊ #1445 |
520 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 197 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2432 |
Polycyclic presentation:
2^7,19|a^2=g,b^2=de,c^2=de,b^a=bd,c^a=ce,h^a=h^18,c^b=cf404 conjugacy classes — view the full character table.
| maximal subgroup of | #18069861, #18074671, #18074673, … |
| maximal normal subgroup of | #18069861, #18074671, #18074673, … |
| maximal quotient of | #18070463, #18070466, #18091269, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2778);