Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C19 ⋊ #2083 |
230 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 95 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=e,b^2=d,c^2=d,f^2=g,b^a=bd,c^a=ce,c^b=cf,f^b=fg,h^b=h^18,f^c=fg,h^c=h^18392 conjugacy classes — view the full character table.
| maximal subgroup of | #18071576, #18071578, #18071583, … |
| maximal normal subgroup of | #18071576, #18071578, #18071583, … |
| maximal quotient of | #18087447, #18087452, #18087467, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 5983);